%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.07",
%%%     date            = "15 September 2014",
%%%     time            = "07:05:09 MDT",
%%%     filename        = "kepler.ltx",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "http://www.math.utah.edu/~beebe",
%%%     checksum        = "12428 6905 28561 292869",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Archimedean solid packing; BibTeX;
%%%                        bibliography; David Hilbert's 18th Problem
%%%                        (1900); Johannes Kepler (1571--1630); Kepler
%%%                        Conjecture; Kepler optimal sphere-packing
%%%                        problem; Kepler Theorem; kissing numbers;
%%%                        Platonic solid packing; Project Flyspeck;
%%%                        sphere packing",
%%%     license         = "public domain",
%%%     supported       = "no",
%%%     docstring       = "This is a bibliography about the Kepler
%%%                        Conjecture on optimal sphere packing, and
%%%                        recent advances in the general solid-body
%%%                        packing problem.  More information about the
%%%                        Kepler Conjecture and its credible, but
%%%                        controversial, proof are given below.
%%%
%%%                        At version 1.07, the year coverage looked
%%%                        like this:
%%%
%%%                             1611 (   1)    1746 (   0)    1881 (   0)
%%%                             1630 (   0)    1765 (   0)    1900 (   1)
%%%                             1631 (   0)    1766 (   0)    1901 (   1)
%%%                             1632 (   0)    1767 (   0)    1902 (   1)
%%%                             1634 (   0)    1769 (   0)    1904 (   1)
%%%                             1655 (   0)    1790 (   0)    1925 (   1)
%%%                             1682 (   0)    1817 (   0)    1952 (   1)
%%%                             1683 (   0)    1818 (   0)    1953 (   2)
%%%                             1688 (   0)    1823 (   0)    1958 (   1)
%%%                             1692 (   0)    1827 (   0)    1962 (   1)
%%%                             1694 (   0)    1829 (   0)    1964 (   2)
%%%                             1696 (   0)    1831 (   0)    1966 (   1)
%%%                             1697 (   0)    1832 (   0)    1967 (   3)
%%%                             1698 (   0)    1833 (   0)    1968 (   1)
%%%                             1699 (   0)    1834 (   0)    1969 (   1)
%%%                             1700 (   0)    1835 (   0)    1970 (   2)
%%%                             1701 (   0)    1836 (   0)    1971 (   1)
%%%                             1702 (   0)    1837 (   0)    1972 (   1)
%%%                             1705 (   0)    1840 (   0)    1975 (   1)
%%%                             1709 (   0)    1844 (   0)    1979 (   4)
%%%                             1711 (   0)    1846 (   0)    1981 (   2)
%%%                             1712 (   0)    1847 (   0)    1982 (   1)
%%%                             1713 (   0)    1848 (   0)    1983 (   2)
%%%                             1714 (   0)    1849 (   0)    1984 (   1)
%%%                             1715 (   0)    1850 (   0)    1985 (   3)
%%%                             1718 (   0)    1853 (   0)    1988 (   1)
%%%                             1719 (   0)    1854 (   0)    1989 (   2)
%%%                             1720 (   0)    1855 (   0)    1990 (   1)
%%%                             1721 (   0)    1856 (   0)    1991 (   3)
%%%                             1722 (   0)    1857 (   0)    1992 (   3)
%%%                             1723 (   0)    1858 (   0)    1993 (  11)
%%%                             1724 (   0)    1859 (   0)    1994 (   3)
%%%                             1725 (   0)    1860 (   0)    1995 (   4)
%%%                             1726 (   0)    1861 (   0)    1996 (   2)
%%%                             1727 (   0)    1862 (   0)    1997 (   7)
%%%                             1728 (   0)    1863 (   0)    1998 (   6)
%%%                             1729 (   0)    1864 (   0)    1999 (  10)
%%%                             1730 (   0)    1865 (   0)    2000 (  14)
%%%                             1731 (   0)    1866 (   0)    2001 (  13)
%%%                             1732 (   0)    1867 (   0)    2002 (  10)
%%%                             1733 (   0)    1868 (   0)    2003 (   8)
%%%                             1734 (   0)    1869 (   0)    2004 (   7)
%%%                             1735 (   0)    1870 (   0)    2005 (  11)
%%%                             1736 (   0)    1871 (   0)    2006 (  19)
%%%                             1737 (   0)    1872 (   0)    2007 (  13)
%%%                             1738 (   0)    1873 (   0)    2008 (  10)
%%%                             1739 (   0)    1874 (   0)    2009 (  11)
%%%                             1740 (   0)    1875 (   0)    2010 (  17)
%%%                             1741 (   0)    1876 (   0)    2011 (  10)
%%%                             1742 (   0)    1877 (   0)    2012 (   8)
%%%                             1743 (   0)    1878 (   0)    2013 (   9)
%%%                             1744 (   0)    1879 (   0)    2014 (   5)
%%%
%%%                             Article:        166
%%%                             Book:            35
%%%                             InCollection:    17
%%%                             InProceedings:   18
%%%                             PhdThesis:        3
%%%                             Proceedings:     13
%%%                             TechReport:       2
%%%                             Unpublished:      1
%%%
%%%                             Total entries:  255
%%%
%%%                        A brief statement of the Kepler Conjecture
%%%                        (from page xvi of entry Conway:1999:SPL) is
%%%                        ``the so-called Kepler Conjecture [is that]
%%%                        no packing of three-dimensional spheres can
%%%                        have a greater density that that of the
%%%                        face-centered cubic lattice.''
%%%
%%%                        Proof of the Kepler Conjecture is problem
%%%                        number 15 (later 18) of David Hilbert's 1900
%%%                        list of 20 (later revised to 23) important
%%%                        mathematical problems for the 20th Century
%%%                        (see entries Hilbert:1900:MPV,
%%%                        Hilbert:1901:MPV, Hilbert:1902:MP, and
%%%                        Hilbert:2000:MP).  [Some of those problems,
%%%                        though not that of the Kepler Conjecture, are
%%%                        included in the Clay Mathematics Institute
%%%                        Millennium Problem list for which validated
%%%                        solutions win a prize of one million US
%%%                        dollars.]
%%%
%%%                        Thomas C. Hales announced a proof of the
%%%                        Kepler Conjecture on 9 August 1998, so it
%%%                        should now be called the Kepler Theorem, but
%%%                        the proof was not published until 2005.  See
%%%                        entry Morgan:2005:BRB for the reasons for the
%%%                        long delay in publication, and entry
%%%                        Hales:2000:CH for the prize-winning paper
%%%                        with a largely nonmathematical description of
%%%                        the nature of the problem.
%%%
%%%                        Hales' complicated proof is detailed in a
%%%                        book (entry Lagarias:2011:KCH), and discussed
%%%                        in nonmathematical form in two other books
%%%                        (entries Casti:2001:MMF and Szpiro:2003:KCH).
%%%                        The proof was also published in seven papers
%%%                        in a special journal issue (entries
%%%                        Hales:2006:SPIb, Toth:2006:GEF,
%%%                        Ferguson:2006:SPV, Hales:2006:SPV,
%%%                        Hales:2006:FKC, Hales:2006:HOK,
%%%                        Hales:2006:SPIa).
%%%
%%%                        Because of the great difficulty of the proof
%%%                        of the Kepler Conjecture, and the inability
%%%                        of other mathematicians to verify the proof,
%%%                        Hales began Project Flyspeck (see entry
%%%                        Hales:2008:FP) to produce a verification of
%%%                        the proof by a computer.  Successful
%%%                        completion of that project was announced on
%%%                        various e-mail lists on 10-Aug-2014.  Hales
%%%                        reported:
%%%
%%%                            ``The verification of all nonlinear
%%%                            inequalities in HOL Light on the
%%%                            Microsoft Azure cloud took approximately
%%%                            5000 processor-hours. Almost all
%%%                            verifications were made in parallel with
%%%                            32 cores, hence the real time is about
%%%                            5000 / 32 = 156.25 hours. Nonlinear
%%%                            inequalities were verified with compiled
%%%                            versions of HOL Light and the
%%%                            verification tool developed in Solovyev's
%%%                            2012 thesis.''
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

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%%% ====================================================================
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                                   Journal canadien de
                                   math{\'e}matiques"}

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@String{j-EXP-MATH              = "Experimental Mathematics"}

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@String{j-J-COMB-THEORY-A       = "Journal of Combinatorial Theory (Series A)"}

@String{j-J-COMPUT-PHYS         = "Journal of Computational Physics"}

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@String{j-J-PHYS-CHEM-B         = "Journal of Physical Chemistry. B. Condensed
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                                  biophysical"}

@String{j-J-THEOR-BIOL          = "Journal of Theoretical Biology"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

@String{j-MATH-ANN              = "Mathematische Annalen"}

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@String{j-MATH-INTEL            = "The Mathematical Intelligencer"}

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@String{j-NAMS                  = "Notices of the American Mathematical Society"}

@String{j-NATURE                = "Nature"}

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@String{j-PHYS-REV-E            = "Physical Review E (Statistical physics,
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%%% ====================================================================
%%% Publisher abbreviations:

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@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "Oxford, UK"}

@String{pub-ELS                 = "Elsevier Science Publishers B.V."}
@String{pub-ELS:adr             = "Amsterdam, The Netherlands"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-IOP                 = "Institute of Physics Publishing"}
@String{pub-IOP:adr             = "Bristol, UK and Philadelphia, PA, USA"}

@String{pub-MATH-ASSOC-AMER     = "Mathematical Association of America"}
@String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"}

@String{pub-NAP                 = "National Academy Press"}
@String{pub-NAP:adr             = "Washington, DC, USA"}

@String{pub-NORTH-HOLLAND       = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-NORTON              = "W. W. Norton \& Co."}
@String{pub-NORTON:adr          = "New York, NY, USA"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-PRINCETON           = "Princeton University Press"}
@String{pub-PRINCETON:adr       = "Princeton, NJ, USA"}

@String{pub-SIAM                = "Society for Industrial and Applied
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@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-U-CAL               = "University of California Press"}
@String{pub-U-CAL:adr           = "Berkeley, CA, USA"}

@String{pub-VIEWEG              = "Friedrich Vieweg und Sohn"}
@String{pub-VIEWEG:adr          = "Braunschweig, Germany"}

@String{pub-WILEY               = "Wiley"}
@String{pub-WILEY:adr           = "New York, NY, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
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@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
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%%% ====================================================================
%%% Series abbreviations:

@String{ser-LNAI                = "Lecture Notes in Artificial Intelligence"}

@String{ser-LNCS                = "Lecture Notes in Computer Science"}

%%% ====================================================================
%%% Bibliography entries, sorted by increasing year and then by citation
%%% label within each year, with `bibsort -byyear':

@Book{Kepler:1611:SSN,
  author =       "Johannes Kepler",
  title =        "Strena, Seu, de Nive Sexangula",
  publisher =    "Godfrey Tampach",
  address =      "Frankfurt-am-Main, Germany",
  year =         "1611",
  bibdate =      "Wed Jan 09 08:37:25 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "This book contains the original formulation of the
                 now-famous Kepler Sphere Packing Conjecture. English
                 translation in \cite{Kepler:1966:SCS}.",
  acknowledgement = ack-nhfb,
}

@Article{Hilbert:1900:MPV,
  author =       "David Hilbert",
  title =        "{Mathematische Probleme. Vortrag, gehalten auf dem
                 internationalen Mathematiker-Kongre{\ss} zu Paris
                 1900}. ({German}) [Mathematical Problems: Lecture held
                 at the {International Mathematicians Congress in Paris
                 1900}]",
  journal =      "G{\"o}tt. Nachr.",
  volume =       "??",
  number =       "??",
  pages =        "253--297",
  month =        "????",
  year =         "1900",
  bibdate =      "Wed Jan 09 12:29:52 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "This is the paper in which Hilbert lays out his
                 now-famous list of 20 (revised to 23 in 1901)
                 challenging problems for mathematicians to address in
                 the 20th Century. Reprinted in \cite{Hilbert:1901:MPV}.
                 English translation in
                 \cite{Hilbert:1902:MP,Hilbert:2000:MP}",
  ZMnumber =     "JFM 31.0068.03",
  acknowledgement = ack-nhfb,
  keywords =     "Hilbert's 20 Problems",
  language =     "German",
  remark =       "The problems are (in German): \\
                 1. Cantor's Problem von der M{\"a}chtigkeit des
                 Continuums \\
                 2. Die Widerspruchslosigkeit der arithmetischen Axiome
                 \\
                 3. Die Volumengleichheit zweier Tetraeder von gleicher
                 Grundfl{\"a}che und H{\"o}he (Unm{\"o}glichkeit des
                 Beweises durch Zerlegung in congruente Teile) \\
                 4. Problem von der Geraden als k{\"u}rzester Verbindung
                 zweier Punkte \\
                 5. Mathematische Behandlung der Axiome der Physik \\
                 6. Irrationalit{\"a}t und Transcendenz bestimmter
                 Zahlen (z. B. $ \pi $, $ \sqrt {2} $, and $e$ (??)) \\
                 7. Primzahlenprobleme \\
                 8. Beweis des allgemeinsten Reciprocit{\"a}tsgesetzes
                 im beliebigen Zahlk{\"o}rper \\
                 9. Entscheidung der L{\"o}sbarkeit einer diophantischen
                 Gleichung \\
                 10. Ausdehnung des Kronecker'schen Satzes {\"u}ber
                 Abel'sche K{\"o}rper auf einen beliebigen algebraischen
                 Rationalit{\"a}tsbereich \\
                 11. Unm{\"o}glichkeit der L{\"o}sung der allgemeinen
                 Gleichung \\
                 7. Grades mittels Functionen von nur zwei Argumenten
                 \\
                 12. Strenge Begr{\"u}ndung von Schubert's
                 Abz{\"a}hlungscalc{\"u}l \\
                 13. Problem der Topologie algebraischer Curven und
                 Fl{\"a}chen \\
                 14. Darstellung definiter Formen durch Quadrate \\
                 15. Aufbau des Raumes aus congruenten Polyedern \\
                 16. Sind die L{\"o}sungen regul{\"a}rer
                 Variationsprobleme stets notwendig analytisch? \\
                 17. Allgemeines Randwertproblem \\
                 18. Beweis der Existenz linearer
                 Differentialgleichungen mit vorgeschriebener
                 Monodromiegruppe \\
                 19. Uniformisirung analytischer Beziehungen mittels
                 automorpher Functionen \\
                 20. Weiterf{\"u}hrung der Methoden der
                 Variationsrechnung \\
                 (Rough) English translations of the problem titles are:
                 \\
                 1. Cantor's problem of the thickness of continua \\
                 2. The consistency of the axioms of arithmetic \\
                 3. The volume equality of two tetrahedra of equal base
                 and height (impossibility of proof by breaking it down
                 into congruent parts) \\
                 4. Problem of the straight line as a short connection
                 of two points \\
                 5. Mathematical treatment of the axioms of physics \\
                 6. Irrationality and transcendence of certain numbers
                 (such as $ \pi $, $ \sqrt {2}$, and $e$ (??)) \\
                 7 Prime problems \\
                 8. Evidence of the most common reciprocity theorem in
                 the numbers \\
                 9. Decision of the solvability of a Diophantine
                 equation \\
                 10. Expansion of the Kronecker set over Abelian bodies
                 on any algebraic rational area \\
                 11. Inability to solve the general equation of 7th
                 degree by means of functions of two arguments \\
                 12. Rigorous justification of Schubert's counting
                 calculus \\
                 13. Issue of the topology of algebraic curves and
                 surfaces \\
                 14. Representation of definite forms by squares \\
                 15. Construction of space from congruent polyhedra \\
                 16. Are the regular variation problems solutions always
                 necessary analytic? \\
                 17. General boundary value problem \\
                 18. Evidence of the existence of linear differential
                 equations with prescribed Monodromiegruppe \\
                 19. Uniformization of analytic relations by means of
                 automorphic functions \\
                 20. Continuation of the methods of the calculus of
                 variations",
}

@Article{Hilbert:1901:MPV,
  author =       "David Hilbert",
  title =        "{Mathematische Probleme. Vortrag, gehalten auf dem
                 internationalen Mathematiker-Kongre{\ss} zu Paris
                 1900}. ({German}) [Mathematical Problems: Lecture held
                 at the {International Mathematicians Congress in Paris
                 1900}]",
  journal =      "Arch. d. Math. u. Phys",
  volume =       "3",
  number =       "1",
  pages =        "44--63, 213--237",
  month =        "????",
  year =         "1901",
  DOI =          "",
  bibdate =      "Wed Jan 09 09:37:38 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "",
  ZMnumber =     "JFM 32.0084.05",
  acknowledgement = ack-nhfb,
  ajournal =     "Arch. Math. Phys.",
  keywords =     "Hilbert's 23 Problems",
  language =     "German",
}

@Article{Hilbert:1902:MP,
  author =       "David Hilbert",
  title =        "Mathematical Problems",
  journal =      j-BULL-AMS,
  volume =       "8",
  number =       "10",
  pages =        "437--479",
  month =        "????",
  year =         "1902",
  CODEN =        "BAMOAD",
  DOI =          "http://dx.doi.org/10.1090/S0002-9904-1902-00923-3",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  MRnumber =     "1557926",
  bibdate =      "Wed Jan 09 17:25:01 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "English translation of Hilbert's famous list of 23
                 important problems in mathematics for the 20th
                 Century.",
  URL =          "http://www.ams.org/journals/bull/1902-08-10/S0002-9904-1902-00923-3/S0002-9904-1902-00923-3.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  keywords =     "Hilbert's 23 Problems",
}

@Article{Minkowski:1904:DGL,
  author =       "H. Minkowski",
  title =        "{Dichteste gitterf{\"o}rmige Lagerung kongruenter
                 K{\"o}rper}. ({German}) [{Closest} lattice packing of
                 congruent bodies]",
  journal =      "Nachr. K. Ges. Wiss. G{\"o}ttingen",
  volume =       "??",
  number =       "??",
  pages =        "311--355",
  month =        "????",
  year =         "1904",
  DOI =          "",
  bibdate =      "Wed Jan 09 09:43:51 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "The `proof' of a packing theorem in this paper was
                 later shown to be wrong; see \cite[pages
                 1543--1544]{Lagarias:2012:MPR}",
  URL =          "",
  acknowledgement = ack-nhfb,
  language =     "German",
}

@Article{Struik:1925:PIL,
  author =       "D. J. Struik",
  title =        "Het Probleem {``De impletione loci''}. ({Dutch})
                 [{The} problem {``On Local Filling''}]",
  journal =      "Nieuw Archief voor Wiskunde, Series 2",
  volume =       "15",
  number =       "??",
  pages =        "121--137",
  year =         "1925--1928",
  DOI =          "",
  bibdate =      "Wed Jan 09 09:56:24 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  language =     "Dutch",
}

@Book{Weyl:1952:S,
  author =       "Hermann Weyl",
  title =        "Symmetry",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "168",
  year =         "1952",
  ISBN =         "0-691-08045-3",
  ISBN-13 =      "978-0-691-08045-1",
  LCCN =         "",
  bibdate =      "Wed Jan 09 15:33:17 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  author-dates = "1885--1955",
}

@Article{Schutte:1953:PDK,
  author =       "K. Sch{\"u}tte and B. L. van der Waerden",
  title =        "{Das Problem der dreizehn Kugeln}. ({German}) [{The}
                 problem of thirteen bullets]",
  journal =      j-MATH-ANN,
  volume =       "125",
  number =       "??",
  pages =        "325--334",
  month =        "????",
  year =         "1953",
  CODEN =        "MAANA3",
  DOI =          "http://dx.doi.org/10.1007/BF01343127",
  ISSN =         "0025-5831 (print), 1432-1807 (electronic)",
  ISSN-L =       "0025-5831",
  MRclass =      "52.0X",
  MRnumber =     "0053537 (14,787e)",
  MRreviewer =   "H. S. M. Coxeter",
  bibdate =      "Wed Jan 09 09:48:48 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.com/article/10.1007/BF01343127",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematische Annalen",
  language =     "German",
}

@Book{Toth:1953:LEK,
  author =       "L. Fejes T{\'o}th",
  title =        "{Lagerungen in der Ebene, auf der Kugeln und im Raum}.
                 ({German}) [{Ball} deposits in the plane and in
                 space]",
  volume =       "65",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 197",
  year =         "1953",
  LCCN =         "",
  MRclass =      "52.0X",
  MRnumber =     "0057566 (15,248b)",
  MRreviewer =   "W. O. Moser",
  bibdate =      "Wed Jan 09 09:16:25 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "See also second edition \cite{Toth:1972:LEK}.",
  series =       "{Grundlehren der mathematischen Wissenschaften in
                 Einzeldarstellungen mit besonderer Ber{\"u}cksichtigung
                 der Anwendungsgebiete}",
  acknowledgement = ack-nhfb,
  language =     "German",
}

@Article{Renyi:1958:ODP,
  author =       "A. R{\'e}nyi",
  title =        "On a one-dimensional problem concerning random space
                 filling",
  journal =      "Magyar Tud. Akad. Mat. Kutat{\'o} Int. K{\"o}zl.",
  volume =       "3",
  number =       "1--2",
  pages =        "109--127",
  month =        "????",
  year =         "1958",
  MRclass =      "60.00",
  MRnumber =     "0104284 (21 \#3039)",
  MRreviewer =   "P. Erd{\"o}s",
  bibdate =      "Wed Feb 29 21:10:40 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  acknowledgement = ack-nhfb,
  xxjournal =    "Publ. Math. Inst. Hung. Acad. Sci.",
}

@Article{Groemer:1962:BDG,
  author =       "H. Groemer",
  title =        "{{\"U}ber die dichteste gitterf{\"o}rmige Lagerung
                 kongruenter Tetraeder}. ({German}) [On the densest
                 lattice storage of congruent tetrahedra]",
  journal =      j-MONAT-MATH,
  volume =       "66",
  number =       "??",
  pages =        "12--15",
  month =        "????",
  year =         "1962",
  CODEN =        "MNMTA2",
  ISSN =         "0026-9255 (print), 1436-5081 (electronic)",
  ISSN-L =       "0026-9255",
  MRclass =      "52.45 (10.25)",
  MRnumber =     "0139077 (25 \#2516)",
  MRreviewer =   "T. Estermann",
  bibdate =      "Wed Jan 09 09:25:04 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  fjournal =     "Monatshefte f{\"u}r Mathematik",
  language =     "German",
}

@Article{Leech:1964:SSP,
  author =       "John Leech",
  title =        "Some sphere packings in higher space",
  journal =      j-CAN-J-MATH,
  volume =       "16",
  number =       "??",
  pages =        "657--682",
  month =        "????",
  year =         "1964",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1964-065-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:38:33 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v16/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Book{Rogers:1964:PC,
  author =       "C. A. (Claude Ambrose) Rogers",
  title =        "Packing and covering",
  volume =       "54",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "viii + 111",
  year =         "1964",
  LCCN =         "QA248 .R64",
  MRclass =      "52.45",
  MRnumber =     "0172183 (30 \#2405)",
  MRreviewer =   "R. P. Bambah",
  bibdate =      "Wed Jan 9 09:48:56 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Cambridge tracts in mathematics and mathematical
                 physics",
  acknowledgement = ack-nhfb,
  subject =      "Generalized spaces",
}

@Book{Kepler:1966:SCS,
  editor =       "Johannes Kepler",
  title =        "The six-cornered snowflake",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "xvi + 75",
  year =         "1966",
  ISBN =         "020",
  ISBN-13 =      "020",
  LCCN =         "QC929.S7 K413",
  bibdate =      "Wed Jan 9 08:38:36 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Translated from the Latin by Colin Hardie, with essays
                 by L. L. Whyte and B. F. J. Mason. Text in Latin with
                 English translation on facing page. Notes and
                 commentaries in English. Originally published in
                 \cite{Kepler:1611:SSN}.",
  price =        "21/-",
  acknowledgement = ack-nhfb,
  author-dates = "1571--1630",
  subject =      "Snowflakes; Early works to 1800",
}

@Article{Leech:1967:FDN,
  author =       "John Leech",
  title =        "Five dimensional non-lattice sphere packings",
  journal =      j-CAN-MATH-BULL,
  volume =       "10",
  number =       "??",
  pages =        "387--394",
  month =        "????",
  year =         "1967",
  CODEN =        "CMBUA3",
  DOI =          "http://dx.doi.org/10.4153/CMB-1967-037-5",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  bibdate =      "Thu Sep 8 10:03:24 MDT 2011",
  bibsource =    "http://cms.math.ca/cmb/v10/;
                 http://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian mathematical bulletin = Bulletin canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
}

@Article{Leech:1967:NSP,
  author =       "John Leech",
  title =        "Notes on sphere packings",
  journal =      j-CAN-J-MATH,
  volume =       "19",
  number =       "??",
  pages =        "251--267",
  month =        "????",
  year =         "1967",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1967-017-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:38:36 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v19/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1960.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@InProceedings{Solomon:1967:RPD,
  author =       "H. Solomon",
  editor =       "Lucien M. {Le Cam} and Jerzy Neyman",
  booktitle =    "{Proceedings of the Fifth Berkeley Symposium on
                 Mathematical Statistics and Probability. Volume III.
                 Physical Sciences}",
  title =        "Random packing density",
  volume =       "3",
  publisher =    pub-U-CAL,
  address =      pub-U-CAL:adr,
  pages =        "119--134",
  year =         "1967",
  LCCN =         "QA276 .B4 v.3",
  bibdate =      "Wed Feb 29 21:12:50 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  note =         "Held at the Statistical Laboratory, University of
                 California, June 21--July 18, 1965 and December 27,
                 1965--January 7, 1966.",
  URL =          "http://projecteuclid.org/euclid.bsmsp/1200513624",
  acknowledgement = ack-nhfb,
}

@Book{Rogers:1968:UPR,
  author =       "Claude Ambrose Rogers",
  title =        "{Ukladki i pokrytije}. ({Russian}) [Laying and
                 covering]",
  publisher =    "????",
  address =      "????",
  pages =        "134",
  year =         "1968",
  LCCN =         "QA611 .R6317",
  bibdate =      "Wed Jan 9 09:48:56 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  author-dates = "1920--",
  language =     "Russian",
  subject =      "Generalized spaces",
  xxnote =       "Find original Russian title and check likely-garbled
                 transliteration.",
}

@Article{Leech:1969:SSD,
  author =       "John Leech",
  title =        "Six and seven dimensional non-lattice sphere
                 packings",
  journal =      j-CAN-MATH-BULL,
  volume =       "12",
  number =       "??",
  pages =        "151--156",
  month =        "????",
  year =         "1969",
  CODEN =        "CMBUA3",
  DOI =          "http://dx.doi.org/10.4153/CMB-1969-014-1",
  ISSN =         "0008-4395 (print), 1496-4287 (electronic)",
  ISSN-L =       "0008-4395",
  bibdate =      "Thu Sep 8 10:03:37 MDT 2011",
  bibsource =    "http://cms.math.ca/cmb/v12/;
                 http://www.math.utah.edu/pub/tex/bib/canmathbull.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian mathematical bulletin = Bulletin canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cmb/",
}

@Article{Blaisdell:1970:RSP,
  author =       "B. E. Blaisdell and H. Solomon",
  title =        "On random sequential packing in the plane and a
                 conjecture of {Pal{\'a}sti}",
  journal =      j-J-APPL-PROBAB,
  volume =       "7",
  number =       "3",
  pages =        "667--689",
  month =        dec,
  year =         "1970",
  CODEN =        "JPRBAM",
  ISSN =         "0021-9002 (print), 1475-6072 (electronic)",
  ISSN-L =       "0021-9002",
  bibdate =      "Wed Feb 29 21:17:55 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://www.jstor.org/stable/3211946",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Applied Probability",
  journal-URL =  "http://www.jstor.org/journals/00219002.html",
}

@Article{Hoylman:1970:DLP,
  author =       "D. J. Hoylman",
  title =        "The densest lattice packing of tetrahedra",
  journal =      j-BULL-AMS,
  volume =       "76,",
  number =       "??",
  pages =        "135--137",
  month =        "????",
  year =         "1970",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Fri Aug 14 17:28:05 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@Article{Leech:1971:SPE,
  author =       "John Leech and N. J. A. Sloane",
  title =        "Sphere packings and error-correcting codes",
  journal =      j-CAN-J-MATH,
  volume =       "23",
  number =       "??",
  pages =        "718--745",
  month =        "????",
  year =         "1971",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1971-081-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:38:42 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v23/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Book{Toth:1972:LEK,
  author =       "L. Fejes T{\'o}th",
  title =        "{Lagerungen in der Ebene, auf der Kugeln und im Raum}.
                 ({German}) [{Ball} deposits in the plane and in
                 space]",
  volume =       "65",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xi + 238",
  year =         "1972",
  ISBN =         "3-540-05477-4",
  ISBN-13 =      "978-3-540-05477-1",
  LCCN =         "",
  MRclass =      "52.0X",
  MRnumber =     "0057566 (15,248b)",
  MRreviewer =   "W. O. Moser",
  bibdate =      "Wed Jan 09 09:16:25 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "See also first edition \cite{Toth:1953:LEK}.",
  series =       "{Grundlehren der mathematischen Wissenschaften in
                 Einzeldarstellungen mit besonderer Ber{\"u}cksichtigung
                 der Anwendungsgebiete}",
  acknowledgement = ack-nhfb,
  language =     "German",
}

@Article{Akeda:1975:NTP,
  author =       "Y. Akeda and M. Hori",
  title =        "Numerical test of {Pal{\'a}sti}'s conjecture on
                 two-dimensional random packing density",
  journal =      j-NATURE,
  volume =       "254",
  number =       "5498",
  pages =        "318--319",
  day =          "27",
  month =        mar,
  year =         "1975",
  CODEN =        "NATUAS",
  DOI =          "http://dx.doi.org/10.1038/254318a0",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Wed Feb 29 21:19:24 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://www.nature.com/nature/journal/v254/n5498/pdf/254318a0.pdf",
  abstract =     "Random packing and random space-filling problems have
                 received frequent attention. In one dimension, this
                 topic is usually called the car-parking problem.
                 Pal{\'a}sti generalised the parking problem to two
                 dimensions and conjectured that the random packing
                 density in the two-dimensional case is equal to the
                 square of that in the one-dimensional case. Here we
                 provide a thorough check on her conjecture and confirm
                 its validity.",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
}

@Article{Gilbert:1979:PPT,
  author =       "E. N. Gilbert",
  title =        "The Packing Problem for Twisted Pairs",
  journal =      j-BELL-SYST-TECH-J,
  volume =       "58",
  number =       "10",
  pages =        "2143--2162",
  month =        dec,
  year =         "1979",
  CODEN =        "BSTJAN",
  ISSN =         "0005-8580",
  bibdate =      "Tue Nov 9 11:15:56 MST 2010",
  bibsource =    "http://bstj.bell-labs.com/oldfiles/year.1979/BSTJ.1979.5810.html;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://bstj.bell-labs.com/BSTJ/images/Vol58/bstj58-10-2143.pdf",
  abstract =     "When wires are packed together in a bundle, as in a
                 cable or on a shelf of a main distribution frame, the
                 packing fraction $f$ is the fraction of cross-sectional
                 area of the bundle occupied by wire. With wires all the
                 same radius, packing fractions as high as $ 0.90690$
                 can be achieved. However, when the wires are pairs that
                 have been twisted to avoid crosstalk, the packing
                 fraction is much smaller. The largest obtainable
                 packing fraction depends on other properties of the
                 packing. For example, with pairs twisted by machine,
                 all pairs twist at the same rate, and that influences
                 the packing fraction. Several packing problems are
                 considered, but most attention is given to a
                 particularly regular kind of packing in which pairs
                 twist about straight parallel axes located in a lattice
                 arrangement. The densest lattice packing has packing
                 fraction $ 0.56767$. The densest lattice is a
                 complicated one in which each wire touches $ 10$ wires
                 belonging to $6$ other pairs. The numbers $ 10$ and $6$
                 cannot be increased even with nonlattice packings of
                 pairs with straight parallel axes. These other packings
                 are also conjectured to have packing fractions less
                 than $ 0.56767$, although only $ f < 0.62240$ is
                 proved.",
  acknowledgement = ack-nhfb,
  fjournal =     "The Bell System Technical Journal",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
}

@Book{Schrijver:1979:PCC,
  author =       "A. Schrijver",
  title =        "Packing and covering in combinatorics",
  volume =       "106",
  publisher =    "Mathematisch Centrum",
  address =      "Amsterdam, The Netherlands",
  pages =        "313",
  year =         "1979",
  ISBN =         "90-6196-180-7",
  ISBN-13 =      "978-90-6196-180-2",
  LCCN =         "QA166.7 .P32",
  bibdate =      "Wed Jan 9 09:48:56 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Mathematical centre tracts",
  acknowledgement = ack-nhfb,
  subject =      "Combinatorial packing and covering",
}

@Article{Tanemura:1979:RCP,
  author =       "M. Tanemura",
  title =        "On random complete packing by discs",
  journal =      j-ANN-INST-STAT-MATH-TOKYO,
  volume =       "31",
  number =       "Part B",
  pages =        "351--365",
  month =        "????",
  year =         "1979",
  CODEN =        "AISXAD",
  ISSN =         "0020-3157 (print), 1572-9052 (electronic)",
  ISSN-L =       "0020-3157",
  bibdate =      "Wed Feb 29 21:24:06 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of the Institute of Statistical Mathematics
                 (Tokyo)",
}

@PhdThesis{Thompson:1979:ECC,
  author =       "Thomas Miller Thompson",
  title =        "From error-correcting codes through sphere packings to
                 simple groups",
  type =         "Thesis ({Ph.D.})",
  school =       "Department of Mathematics, University of California,
                 Davis",
  address =      "Davis, CA, USA",
  pages =        "250",
  year =         "1979",
  LCCN =         "LD781.D5j 1979 T566",
  bibdate =      "Thu Aug 13 18:08:02 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  keywords =     "dissertations, academic --- University of California,
                 Davis --- mathematics",
}

@Article{Senechal:1981:WTF,
  author =       "Marjorie Senechal",
  title =        "Which tetrahedra fill space?",
  journal =      j-MATH-MAG,
  volume =       "54",
  number =       "5",
  pages =        "227--243",
  month =        "????",
  year =         "1981",
  CODEN =        "MAMGA8",
  DOI =          "http://dx.doi.org/10.2307/2689983",
  ISSN =         "0025-570X",
  MRclass =      "52A45 (01A05 05B45 52-03 52A25)",
  MRnumber =     "644075 (83h:52020)",
  MRreviewer =   "A. Florian",
  bibdate =      "Wed Jan 09 09:54:58 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics Magazine",
  journal-URL =  "http://www.maa.org/pubs/mathmag.html",
}

@Article{Sloane:1981:TSP,
  author =       "Neil J. A. Sloane",
  title =        "Tables of sphere packings and spherical codes",
  journal =      j-IEEE-TRANS-INF-THEORY,
  volume =       "27",
  number =       "3",
  pages =        "327--338",
  month =        mar,
  year =         "1981",
  CODEN =        "IETTAW",
  DOI =          "http://dx.doi.org/10.1109/TIT.1981.1056351",
  ISSN =         "0018-9448 (print), 1557-9654 (electronic)",
  ISSN-L =       "0018-9448",
  bibdate =      "Thu Aug 13 17:46:36 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/tit/tit27.html#Sloane81;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Information Theory",
}

@Book{Weyl:1982:S,
  author =       "Hermann Weyl",
  title =        "Symmetry",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "168",
  year =         "1982",
  ISBN =         "0-691-02374-3",
  ISBN-13 =      "978-0-691-02374-8",
  LCCN =         "",
  bibdate =      "Wed Jan 09 15:33:17 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  author-dates = "1885--1955",
  remark =       "Reprint of \cite{Weyl:1952:S}.",
}

@Article{Bagchi:1983:TAA,
  author =       "Bagchi and Cerjan and Stuart A. Rice",
  title =        "Theoretical analysis of the achievement of random
                 close packing of hard spheres and a conjecture on
                 spinodal decomposition",
  journal =      j-PHYS-REV-B,
  volume =       "28",
  pages =        "6411",
  year =         "1983",
  CODEN =        "PLRBAQ",
  ISSN =         "0556-2805",
  bibdate =      "Thu Aug 13 18:08:02 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review B (Solid State)",
  journal-URL =  "http://prb.aps.org/browse",
  keywords =     "spin, theoretical",
}

@Book{Thompson:1983:ECC,
  author =       "Thomas M. Thompson",
  title =        "From error-correcting codes through sphere packings to
                 simple groups",
  volume =       "21",
  publisher =    pub-MATH-ASSOC-AMER,
  address =      pub-MATH-ASSOC-AMER:adr,
  pages =        "xiv + 228",
  year =         "1983",
  ISBN =         "0-88385-023-0",
  ISBN-13 =      "978-0-88385-023-7",
  LCCN =         "QA268 .T56 1983",
  bibdate =      "Thu Aug 13 18:08:02 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Carus mathematical monographs",
  acknowledgement = ack-nhfb,
  keywords =     "error-correcting codes (information theory); finite
                 simple groups",
}

@Article{Sloane:1984:PS,
  author =       "N. J. A. Sloane",
  title =        "The packing of spheres",
  journal =      j-SCI-AMER,
  volume =       "250",
  number =       "1",
  pages =        "92--101",
  month =        jan,
  year =         "1984",
  CODEN =        "SCAMAC",
  ISSN =         "0036-8733 (print), 1946-7087 (electronic)",
  ISSN-L =       "0036-8733",
  bibdate =      "Thu Aug 13 18:08:02 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  classification = "A0550 (Lattice theory and statistics; Ising
                 problems)",
  fjournal =     "Scientific American",
  journal-URL =  "http://www.nature.com/scientificamerican",
  keywords =     "digital signalling; lattice theory and statistics;
                 sphere packing",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Jodrey:1985:CSC,
  author =       "W. S. Jodrey and E. M. Tory",
  title =        "Computer simulation of close random packing of equal
                 spheres",
  journal =      j-PHYS-REV-A,
  volume =       "32",
  number =       "4",
  pages =        "2347--2351",
  month =        oct,
  year =         "1985",
  CODEN =        "PLRAAN",
  DOI =          "http://dx.doi.org/10.1103/PhysRevA.32.2347",
  ISSN =         "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
  ISSN-L =       "1050-2947",
  bibdate =      "Thu Aug 13 17:43:15 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRevA.32.2347",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review A (Atomic, Molecular, and Optical
                 Physics)",
  journal-URL =  "http://pra.aps.org/browse",
}

@InProceedings{Marsaglia:1985:CVR,
  author =       "George Marsaglia",
  title =        "A Current View of Random Number Generators",
  crossref =     "Billard:1985:CSS",
  pages =        "3--10",
  year =         "1985",
  bibdate =      "Thu Dec 18 13:39:28 2003",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://stat.fsu.edu/pub/diehard/;
                 http://www.evensen.org/marsaglia/keynote.ps",
  acknowledgement = ack-nhfb,
  remark =       "This paper introduces the Parking Lot test used in the
                 Diehard Battery test suite.",
}

@Book{Conway:1988:SPL,
  author =       "John Horton Conway and N. J. A. (Neil James Alexander)
                 Sloane and others",
  title =        "Sphere Packings, Lattices and Groups",
  volume =       "290",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xxvii + 663",
  year =         "1988",
  ISBN =         "0-387-96617-X",
  ISBN-13 =      "978-0-387-96617-5",
  LCCN =         "QA166.7 .C66 1988; QA3 .G75; QA3 .G7; QA166.7 .C66
                 1988",
  bibdate =      "Thu Aug 13 18:08:02 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 melvyl.cdlib.org:210/CDL90",
  price =        "US\$45.00",
  series =       "{Grundlehren der mathematischen Wissenschaften}",
  acknowledgement = ack-nhfb,
  keywords =     "book; c1988; c198x; c19xx; codes; constant; constants;
                 G1; G2; group; John Conway; laminated; lattice;
                 packing; polytope; polytopes; quantization; text;
                 zz06099",
  subject =      "Combinatorial packing and covering; Sphere; Lattice
                 theory; Finite groups",
}

@Article{Toth:1989:FSP,
  author =       "G{\'a}bor Fejes T{\'o}th and Peter Gritzmann and J. M.
                 Wills",
  title =        "Finite Sphere Packing and Sphere Covering",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "4",
  number =       "1",
  pages =        "19--40",
  month =        dec,
  year =         "1989",
  CODEN =        "DCGEER",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Thu Aug 13 17:47:55 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg4.html#TothGW89;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Book{Weyl:1989:S,
  author =       "Hermann Weyl",
  title =        "Symmetry",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "168",
  year =         "1989",
  ISBN =         "0-691-02374-3",
  ISBN-13 =      "978-0-691-02374-8",
  LCCN =         "",
  bibdate =      "Wed Jan 09 15:33:17 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  author-dates = "1885--1955",
  remark =       "Reprint of \cite{Weyl:1952:S}.",
}

@Article{Kuperberg:1990:DLP,
  author =       "G. Kuperberg and W. Kuperberg",
  title =        "Double-lattice packings of convex bodies in the
                 plane",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "5",
  number =       "1",
  pages =        "389--397",
  month =        dec,
  year =         "1990",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/BF02187800",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52A45",
  MRnumber =     "1043721 (90k:52027)",
  MRreviewer =   "R. Blind",
  bibdate =      "Wed Jan 09 09:42:32 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Bezdek:1991:MDS,
  author =       "Andr{\'a}s Bezdek and Wlodzimierz Kuperberg and E.
                 Makai",
  title =        "Maximum Density Space Packing with Parallel Strings of
                 Spheres",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "6",
  number =       "1",
  pages =        "277--283",
  month =        dec,
  year =         "1991",
  CODEN =        "DCGEER",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Thu Aug 13 17:49:09 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg6.html#BezdekKM91;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@TechReport{Haussler:1991:SPN,
  author =       "David Haussler",
  title =        "Sphere Packing numbers for subsets of the {Boolean}
                 {$N$}-cube with bounded {Vapnik--Chervonenkis}
                 dimension",
  number =       "UCSC-CRL-91-41",
  institution =  "University of California, Santa Cruz",
  address =      "Santa Cruz, CA, USA",
  pages =        "14",
  month =        oct,
  year =         "1991",
  bibdate =      "Thu Aug 13 18:07:58 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "ftp://ftp.cse.ucsc.edu/pub/tr/ucsc-crl-91-41.ps.Z;
                 mailto:rnalib@ftp.cs.ucsc.edu",
  abstract =     "Let V contained in $ \lbrace $0,1$ \rbrace ${\^{}}n
                 have Vapnk-Chervonenkis dimension d. Let M(k/n,V)
                 denote the cardinality of the largest W contained in V
                 such that any two distinct vectors in W differ on at
                 least k indices. We show that M(k/n,V) $<$ =
                 (cn/(k+d)){\^{}}d for some constant c. This improves on
                 the previous best result of ((cn/k)log(n/k)){\^{}}d.
                 This new result has applications in the theory of
                 empirical processes.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Max:1991:CAS,
  author =       "Nelson L. Max",
  booktitle =    "IEEE Visualization",
  title =        "Computer Assisted Sphere Packing in Higher
                 Dimensions",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "102--108",
  year =         "1991",
  bibdate =      "Thu Aug 13 17:48:35 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/visualization/visualization1991.html#Max91;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Coffman:1992:PAP,
  author =       "E. G. {Coffman, Jr.} and D. S. Johnson and P. W.
                 Shor",
  title =        "Probabilistic Analysis of Packing and Related
                 Partitioning Problems",
  crossref =     "Steele:1992:PA",
  chapter =      "7",
  pages =        "87--108",
  year =         "1992",
  bibdate =      "Wed Jan 09 18:20:11 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Berger:1993:PC,
  author =       "Marcel Berger",
  booktitle =    "Differential geometry and topology ({Alghero}, 1992)",
  title =        "Les paquets de cercles. ({French}) [{Circle}
                 packing]",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "23--64",
  year =         "1993",
  MRclass =      "52C15 (52C17)",
  MRnumber =     "1339286 (96e:52043)",
  MRreviewer =   "Igor Rivin",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
  language =     "French",
}

@Book{Conway:1993:SPL,
  author =       "John Horton Conway and N. J. A. (Neil James Alexander)
                 Sloane and others",
  title =        "Sphere packings, lattices, and groups",
  volume =       "290",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xliii + 679",
  year =         "1993",
  ISBN =         "0-387-97912-3, 3-540-97912-3",
  ISBN-13 =      "978-0-387-97912-0, 978-3-540-97912-8",
  LCCN =         "QA166.7 .C66 1993",
  bibdate =      "Thu Aug 13 17:40:44 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "{Grundlehren der mathematischen Wissenschaften}",
  acknowledgement = ack-nhfb,
  subject =      "combinatorial packing and covering; sphere packings;
                 lattice theory; finite groups",
}

@Article{Hales:1993:RDS,
  author =       "Thomas C. Hales",
  title =        "Remarks on the density of sphere packings in three
                 dimensions",
  journal =      j-COMBINATORICA,
  volume =       "13",
  number =       "2",
  pages =        "181--197",
  year =         "1993",
  CODEN =        "COMBDI",
  ISSN =         "0209-9683 (print), 1439-6912 (electronic)",
  ISSN-L =       "0209-9683",
  bibdate =      "Thu Aug 13 17:49:58 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/combinatorica/combinatorica13.html#Hales93;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Combinatorica",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/493",
}

@InCollection{Hsiang:1993:GS,
  author =       "Wu-Yi Hsiang",
  booktitle =    "Differential geometry ({Shanghai}, 1991)",
  title =        "The geometry of spheres",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "92--107",
  year =         "1993",
  MRclass =      "52C17",
  MRnumber =     "1341602 (97f:52028)",
  MRreviewer =   "J. B{\"o}hm",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hsiang:1993:SPPa,
  author =       "Wu-Yi Hsiang",
  title =        "On the sphere packing problem and the proof of
                 {Kepler's Conjecture}",
  journal =      j-INT-J-MATH,
  volume =       "4",
  number =       "5",
  pages =        "739--831",
  year =         "1993",
  CODEN =        "????",
  DOI =          "http://dx.doi.org/10.1142/S0129167X93000364",
  ISSN =         "0129-167X",
  MRclass =      "52C17",
  MRnumber =     "1245351 (95g:52032)",
  MRreviewer =   "G{\'a}bor Fejes T{\'o}th",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Mathematics",
  keywords =     "Kepler sphere-packing conjecture",
}

@InCollection{Hsiang:1993:SPPb,
  author =       "Wu-Yi Hsiang",
  booktitle =    "Differential geometry and topology ({Alghero, 1992})",
  title =        "On the sphere packing problem and the proof of
                 {Kepler's Conjecture}",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "117--127",
  year =         "1993",
  MRclass =      "52C17",
  MRnumber =     "1339290 (96f:52028)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Kunyavskii:1992:SPC,
  author =       "Boris {\`E}. Kunyavskii",
  title =        "Sphere packings centered at {$S$}-units of algebraic
                 tori",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1518",
  pages =        "108--121",
  year =         "1992",
  CODEN =        "LNMAA2",
  DOI =          "http://dx.doi.org/10.1007/BFb0087996",
  ISBN =         "3-540-55651-6 (print), 3-540-47267-3 (e-book)",
  ISBN-13 =      "978-3-540-55651-0 (print), 978-3-540-47267-4
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "11H31 (11T71 52C07)",
  MRnumber =     "1186419 (93i:11077)",
  MRreviewer =   "Simon N. Litsyn",
  bibdate =      "Fri May 9 19:07:24 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0087996/",
  acknowledgement = ack-nhfb,
  book-DOI =     "http://dx.doi.org/10.1007/BFb0087986",
  book-URL =     "http://www.springerlink.com/content/978-3-540-47267-4",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Article{Mathe:1993:KG,
  author =       "Katalin Bogn{\'a}r M{\'a}th{\'e}",
  title =        "{{\"U}ber Kugelsysteme unter
                 Ger{\"a}umigkeitsbedingungen}. ({German}) [{On} sphere
                 systems under spaciousness conditions]",
  journal =      "Studia Sci. Math. Hungar.",
  volume =       "28",
  number =       "3-4",
  pages =        "431--445",
  year =         "1993",
  CODEN =        "SSMHAX",
  ISSN =         "0081-6906",
  MRclass =      "52C17",
  MRnumber =     "1266827 (95b:52032)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Studia Scientiarum Mathematicarum Hungarica. A
                 Quarterly of the Hungarian Academy of Sciences",
  keywords =     "Kepler sphere-packing conjecture",
  language =     "German",
}

@Article{Muder:1993:NBL,
  author =       "Douglas J. Muder",
  title =        "A New Bound on the Local Density of Sphere Packings",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "10",
  number =       "1",
  pages =        "351--375",
  month =        dec,
  year =         "1993",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/BF02573984",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "1243334 (94h:52041)",
  MRreviewer =   "N. J. A. Sloane",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg10.html#Muder93;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Szirmai:1993:OSP,
  author =       "Jen{\H{o}} Szirmai",
  title =        "Optimal sphere packings under some space groups",
  journal =      "Alkalmaz. Mat. Lapok",
  volume =       "17",
  number =       "1--2",
  pages =        "87--99 (1994)",
  year =         "1993",
  ISSN =         "0133-3399",
  MRclass =      "52C17",
  MRnumber =     "1336186 (96g:52038)",
  MRreviewer =   "B{\'e}la Uhrin",
  bibdate =      "Thu Apr 12 18:15:04 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Alkalmazott Matematikai Lapok",
}

@InCollection{Toth:1993:PCC,
  author =       "G. Fejes T{\'o}th and W. Kuperberg",
  title =        "Packing and covering with convex sets",
  crossref =     "Gruber:1993:HCG",
  volume =       "B",
  pages =        "799--860",
  year =         "1993",
  bibdate =      "Wed Jan 09 09:09:31 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
}

@Article{Hales:1994:SKC,
  author =       "Thomas C. Hales",
  title =        "The status of the {Kepler Conjecture}",
  journal =      j-MATH-INTEL,
  volume =       "16",
  number =       "3",
  pages =        "47--58",
  year =         "1994",
  CODEN =        "MAINDC",
  DOI =          "http://dx.doi.org/10.1007/BF03024356",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  MRclass =      "52C17",
  MRnumber =     "1281754 (95g:52033)",
  MRreviewer =   "G{\'a}bor Fejes T{\'o}th",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The Mathematical Intelligencer",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hsiang:1994:GS,
  author =       "Wu-Yi Hsiang",
  title =        "The geometry of spheres",
  journal =      j-NORMAT,
  volume =       "42",
  number =       "1",
  pages =        "1--12",
  year =         "1994",
  ISSN =         "0801-3500",
  MRclass =      "52C17 (51M25)",
  MRnumber =     "1278230 (95f:52028)",
  MRreviewer =   "W. J. Firey",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Normat. Nordisk Matematisk Tidskrift",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Zinchenko:1994:ARC,
  author =       "Alexander Z. Zinchenko",
  title =        "Algorithm for Random Close Packing of Spheres with
                 Periodic Boundary Conditions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "114",
  number =       "2",
  pages =        "298--307",
  month =        oct,
  year =         "1994",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1006/jcph.1994.1168",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:54:57 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999184711685",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Book{Brackenridge:1995:KND,
  author =       "J. Bruce Brackenridge",
  title =        "The key to {Newton}'s dynamics: the {Kepler} problem
                 and the {Principia}: containing an {English}
                 translation of sections 1, 2, and 3 of book one from
                 the first (1687) edition of {Newton}'s {Mathematical
                 Principles of Natural Philosophy}",
  publisher =    pub-U-CAL,
  address =      pub-U-CAL:adr,
  pages =        "xiii + 299",
  year =         "1995",
  ISBN =         "0-520-20065-9 (hardcover), 0-520-20217-1 (paperback)",
  ISBN-13 =      "978-0-520-20065-4 (hardcover), 978-0-520-20217-7
                 (paperback)",
  LCCN =         "QB355 .B694 1995",
  bibdate =      "Thu Aug 13 16:26:27 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/bios/ucal051/95032978.html;
                 http://www.loc.gov/catdir/description/ucal041/95032978.html",
  acknowledgement = ack-nhfb,
  subject =      "Kepler's laws; celestial mechanics",
}

@Article{Conway:1995:WAB,
  author =       "John H. Conway and Neil J. A. Sloane",
  title =        "What are All the Best Sphere Packings in Low
                 Dimensions?",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "13",
  number =       "1",
  pages =        "383--403",
  month =        dec,
  year =         "1995",
  CODEN =        "DCGEER",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Thu Aug 13 17:51:55 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg13.html#ConwayS95;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Haussler:1995:SPN,
  author =       "David Haussler",
  title =        "Sphere Packing Numbers for Subsets of the {Boolean}
                 $n$-Cube with Bounded {Vapnik--Chervonenkis}
                 Dimension",
  journal =      j-J-COMB-THEORY-A,
  volume =       "69",
  number =       "2",
  pages =        "217--232",
  year =         "1995",
  CODEN =        "JCBTA7",
  ISSN =         "0097-3165 (print), 1096-0899 (electronic)",
  ISSN-L =       "0097-3165",
  bibdate =      "Thu Aug 13 17:52:38 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/jct/jcta69.html#Haussler95;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Combinatorial Theory (Series A)",
}

@Article{Hsiang:1995:RCH,
  author =       "Wu-Yi Hsiang",
  title =        "A rejoinder to {T. C. Hales}'s article: {``The status
                 of the Kepler Conjecture'' [Math.\ Intelligencer {\bf
                 16} (1994), no. 3, 47--58; MR1281754 (95g:52033)]}",
  journal =      j-MATH-INTEL,
  volume =       "17",
  number =       "1",
  pages =        "35--42",
  year =         "1995",
  CODEN =        "MAINDC",
  DOI =          "http://dx.doi.org/10.1007/BF03024716",
  ISSN =         "0343-6993 (print), 1866-7414 (electronic)",
  ISSN-L =       "0343-6993",
  MRclass =      "52C17",
  MRnumber =     "1319992 (97f:52029)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The Mathematical Intelligencer",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Zong:1996:KNT,
  author =       "Chuanming Zong",
  title =        "The kissing numbers of tetrahedra",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "15",
  number =       "3",
  pages =        "251--264",
  month =        mar,
  year =         "1996",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/BF02711493",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "11H31 (52C07 52C17)",
  MRnumber =     "1380392 (97c:11070)",
  MRreviewer =   "Peter M. Gruber",
  bibdate =      "Wed Jan 09 10:08:13 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Book{Zong:1996:SPC,
  editor =       "Chuanming Zong and James Joseph Dudziak",
  title =        "Strange phenomena in convex and discrete geometry",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 158",
  year =         "1996",
  DOI =          "http://dx.doi.org/10.1007/978-1-4613-8481-6",
  ISBN =         "0-387-94734-5 (softcover)",
  ISBN-13 =      "978-0-387-94734-1 (softcover)",
  LCCN =         "QA639.5 .Z66 1996",
  MRclass =      "52-01 (52-02)",
  MRnumber =     "1416567 (97m:52001)",
  MRreviewer =   "Peter M. Gruber",
  bibdate =      "Wed Jan 9 09:28:14 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Universitext",
  acknowledgement = ack-nhfb,
  subject =      "Convex geometry; Discrete geometry",
}

@Article{Anonymous:1997:EDF,
  author =       "Anonymous",
  title =        "Erratum: {``The dimensional family approach in
                 (hyper)sphere packing: a typological study for new
                 patterns, structures, and interdimensional
                 functions''}",
  journal =      j-APPL-MATH-COMP,
  volume =       "88",
  number =       "1",
  pages =        "??--??",
  day =          "15",
  month =        dec,
  year =         "1997",
  CODEN =        "AMHCBQ",
  DOI =          "http://dx.doi.org/10.1016/S0096-3003(97)00402-5",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Tue Nov 20 21:02:58 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/applmathcomput1995.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.sciencedirect.com/science/journal/00963003",
  note =         "See \cite{Muses:1997:DFA,Muses:1998:EDF}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0096300397004025",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Bezdek:1997:IID,
  author =       "K{\'a}roly Bezdek",
  title =        "Isoperimetric inequalities and the dodecahedral
                 conjecture",
  journal =      j-INT-J-MATH,
  volume =       "8",
  number =       "6",
  pages =        "759--780",
  year =         "1997",
  DOI =          "http://dx.doi.org/10.1142/S0129167X9700038X",
  ISSN =         "0129-167X",
  MRclass =      "52C17 (05B40 52B60)",
  MRnumber =     "1470853 (98k:52043)",
  MRreviewer =   "Salvatore Vassallo",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Mathematics",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:1997:SPa,
  author =       "Thomas C. Hales",
  title =        "Sphere Packings, {I}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "17",
  number =       "1",
  pages =        "1--51",
  month =        jan,
  year =         "1997",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/BF02770863",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "1418278 (97k:52025)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg17.html#Hales97a;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/journals/00454/bibs/17n1p1.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:1997:SPb,
  author =       "Thomas C. Hales",
  title =        "Sphere Packings, {II}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "18",
  number =       "2",
  pages =        "135--149",
  month =        sep,
  year =         "1997",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/PL00009312",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "1455511 (98h:52033)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu Aug 13 17:55:00 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg18.html#Hales97;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/journals/00454/bibs/18n2p125.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Hales:1997:SPI,
  author =       "T. C. Hales",
  title =        "Sphere packings. {II}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "18",
  number =       "2",
  pages =        "135--149",
  year =         "1997",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/PL00009312",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "1455511 (98h:52033)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@InCollection{Leppmeier:1997:KWT,
  author =       "Max Leppmeier",
  booktitle =    "{{\"U}berblicke Mathematik 1996/97}. ({German})
                 [{Views} of Mathematics 1996/97]",
  title =        "{Kugelpackungen und Wurstkatastrophen oder Zur Theorie
                 der finiten und infiniten Packungen}. ({German})
                 [{Sphere packings and sausage} disasters or {On} the
                 theory of finite and infinite packings]",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "96--110",
  year =         "1997",
  MRclass =      "52C07 (52C17)",
  MRnumber =     "1644722 (99i:52018)",
  MRreviewer =   "Konrad J. Swanepoel",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "{\"U}berbl. Math.",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
  language =     "German",
}

@Article{Muses:1997:DFA,
  author =       "C. Mus{\`e}s",
  title =        "The dimensional family approach in (hyper)sphere
                 packing: a typological study of new patterns,
                 structures, and interdimensional functions",
  journal =      j-APPL-MATH-COMP,
  volume =       "88",
  number =       "1",
  pages =        "1--26",
  day =          "15",
  month =        dec,
  year =         "1997",
  CODEN =        "AMHCBQ",
  DOI =          "http://dx.doi.org/10.1016/S0096-3003(97)00004-0",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Tue Nov 20 21:02:58 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/applmathcomput1995.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.sciencedirect.com/science/journal/00963003",
  note =         "See errata \cite{Anonymous:1997:EDF,Muses:1998:EDF}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0096300397000040",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Betke:1998:FPS,
  author =       "Ulrich Betke and Martin Henk",
  title =        "Finite Packings of Spheres",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "19",
  number =       "2",
  pages =        "197--227",
  month =        feb,
  year =         "1998",
  CODEN =        "DCGEER",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg19.html#BetkeH98;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/journals/00454/bibs/19n2p197.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Bezdek:1998:FUS,
  author =       "Andr{\'a}s Bezdek and K{\'a}roly Bezdek and Robert
                 Connelly",
  title =        "Finite and Uniform Stability of Sphere Packings",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "20",
  number =       "1",
  pages =        "111--130",
  month =        jul,
  year =         "1998",
  CODEN =        "DCGEER",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg20.html#BezdekBC98;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/journals/00454/bibs/20n1p111.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Unpublished{Hales:1998:KC,
  author =       "T. Hales",
  title =        "The {Kepler Conjecture}",
  year =         "1998",
  bibdate =      "Thu Aug 13 16:43:12 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "arXiv:math.MG/9811078",
  acknowledgement = ack-nhfb,
}

@Article{Henk:1998:KIC,
  author =       "Martin Henk",
  title =        "{Kugeln im Computer: ein Beweis der Keplerschen
                 Vermutung?}. ({German}) [{Spheres} in the computer: a
                 proof of {Kepler}'s Conjecture?]",
  journal =      j-MDMV,
  volume =       "??",
  number =       "4",
  pages =        "58--60",
  year =         "1998",
  CODEN =        "????",
  ISSN =         "0947-4471",
  MRclass =      "52C17",
  MRnumber =     "1666722",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mitteilungen der Deutschen Mathematiker-Vereinigung",
  keywords =     "Kepler sphere-packing conjecture",
  language =     "German",
}

@Article{Muses:1998:EDF,
  author =       "C. Mus{\`e}s",
  title =        "Erratum: {``The dimensional family approach in
                 (hyper)sphere packing: a typological study for new
                 patterns, structures, and interdimensional functions'':
                 Appl. Math. Comput. {\bf 88} (1997)}",
  journal =      j-APPL-MATH-COMP,
  volume =       "97",
  number =       "2--3",
  pages =        "295--295",
  day =          "15",
  month =        dec,
  year =         "1998",
  CODEN =        "AMHCBQ",
  DOI =          "http://dx.doi.org/10.1016/S0096-3003(98)00030-7",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Tue Nov 20 21:03:17 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/applmathcomput1995.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.sciencedirect.com/science/journal/00963003",
  note =         "See \cite{Muses:1997:DFA,Anonymous:1997:EDF}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0096300398000307",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Rintoul:1998:HSS,
  author =       "M. D. Rintoul and S. S. Torquato",
  title =        "Hard-sphere statistics along the metastable amorphous
                 branch",
  journal =      j-PHYS-REV-E,
  volume =       "58",
  number =       "??",
  pages =        "532--537",
  month =        "????",
  year =         "1998",
  CODEN =        "PLEEE8",
  ISSN =         "1539-3755 (print), 1550-2376 (electronic)",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Aug 14 21:36:55 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@Article{Anonymous:1999:ICH,
  author =       "Anonymous",
  title =        "Interval Computations Help in Proving the {Kepler}
                 Conjecture",
  journal =      j-RELIABLE-COMPUTING,
  volume =       "5",
  number =       "2",
  pages =        "197--199",
  month =        may,
  year =         "1999",
  CODEN =        "RCOMF8",
  DOI =          "http://dx.doi.org/10.1023/A:1017205323815",
  ISSN =         "1385-3139 (print), 1573-1340 (electronic)",
  ISSN-L =       "1385-3139",
  bibdate =      "Sat Jan 5 16:00:57 MST 2013",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1385-3139&volume=5&issue=2;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/reliablecomputing.bib",
  URL =          "http://link.springer.com/article/10.1023/A%3A1017205323815/;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=1385-3139&volume=5&issue=2&spage=197-199",
  acknowledgement = ack-nhfb,
  fjournal =     "Reliable Computing = Nadezhnye vychisleniia",
  journal-URL =  "http://www.springerlink.com/content/1385-3139",
}

@Article{Blinovsky:1999:MPE,
  author =       "Volodia Blinovsky",
  title =        "Multiple Packing of the {Euclidean} Sphere",
  journal =      j-IEEE-TRANS-INF-THEORY,
  volume =       "45",
  number =       "4",
  pages =        "1334--1337",
  month =        apr,
  year =         "1999",
  CODEN =        "IETTAW",
  DOI =          "http://dx.doi.org/10.1109/18.761296",
  ISSN =         "0018-9448 (print), 1557-9654 (electronic)",
  ISSN-L =       "0018-9448",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/tit/tit45.html#Blinovsky99;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Information Theory",
}

@Article{Stephenson:1999:SSD,
  author =       "Paul Stephenson",
  title =        "Solitary Solarians and Densely Packed Spheres: From
                 {Stephen Hales} to {Thomas Hales}",
  journal =      j-MATH-GAZ,
  volume =       "83",
  number =       "498",
  pages =        "426--432",
  month =        nov,
  year =         "1999",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572",
  bibdate =      "Thu Aug 13 16:36:51 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.jstor.org/stable/3620952",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}

@Article{Talata:1999:TKN,
  author =       "Istv{\'a}n Talata",
  title =        "The translative kissing number of tetrahedra is $ 18
                 $",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "22",
  number =       "2",
  pages =        "231--248",
  month =        sep,
  year =         "1999",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/PL00009457",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "1698544 (2000e:52021)",
  bibdate =      "Wed Jan 09 09:59:02 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Toth:1999:MCP,
  author =       "L. Fejes T{\'o}th",
  title =        "{Minkowski} Circle Packings on the Sphere",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "22",
  number =       "2",
  pages =        "161--166",
  month =        sep,
  year =         "1999",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/PL00009451",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C15",
  MRnumber =     "1698538 (2000e:52018)",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg22.html#Toth99;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/journals/00454/bibs/22n2p161.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Wang:1999:PUS,
  author =       "Jie Wang",
  title =        "Packing of Unequal Spheres and Automated Radiosurgical
                 Treatment Planning",
  journal =      j-J-COMB-OPTIM,
  volume =       "3",
  number =       "4",
  pages =        "453--463",
  year =         "1999",
  CODEN =        "JCOPFV",
  ISSN =         "1382-6905",
  ISSN-L =       "1382-6905",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/jco/jco3.html#Wang99;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Combinatorial Optimization",
}

@Article{Weaire:1999:SHP,
  author =       "D. Weaire",
  title =        "A short history of packing problems",
  journal =      j-FORMA,
  volume =       "14",
  number =       "4",
  pages =        "279--285",
  year =         "1999",
  ISSN =         "0911-6036",
  MRclass =      "01A05 (52-03 52C17)",
  MRnumber =     "1770214 (2001e:01005)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "Proceedings of the 2nd International Katachi U
                 Symmetry Symposium, Part 1 (Tsukuba, 1999).",
  acknowledgement = ack-nhfb,
  fjournal =     "Forma",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Zhang:1999:OPP,
  author =       "J. Zhang and R. Blaak and E. Trizac and J. A. Cuesta
                 and D. Frenkel",
  title =        "Optimal packing of polydisperse hard-sphere fluids",
  journal =      j-J-CHEM-PHYS,
  volume =       "110",
  number =       "11",
  pages =        "5318--5324",
  year =         "1999",
  CODEN =        "JCPSA6",
  ISSN =         "0021-9606 (print), 1089-7690 (electronic)",
  ISSN-L =       "0021-9606",
  bibdate =      "Fri Aug 14 17:30:31 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemical Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jcp/browse",
}

@Book{Zong:1999:SP,
  author =       "Chuanming Zong and J. (John) Talbot",
  title =        "Sphere packings",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiii + 241",
  year =         "1999",
  ISBN =         "0-387-98794-0",
  ISBN-13 =      "978-0-387-98794-1",
  LCCN =         "QA166.7 .Z66 1999",
  MRclass =      "52C22 (11H31)",
  MRnumber =     "1707318 (2000g:52020)",
  MRreviewer =   "Peter M. Gruber",
  bibdate =      "Thu Aug 13 16:26:48 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Universitext",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0816/99015367-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0816/99015367-t.html",
  acknowledgement = ack-nhfb,
  subject =      "sphere packings",
}

@Book{Aste:2000:PPP,
  author =       "Tomaso Aste and Denis Weaire",
  title =        "The pursuit of perfect packing",
  publisher =    pub-IOP,
  address =      pub-IOP:adr,
  pages =        "xi + 136",
  year =         "2000",
  DOI =          "http://dx.doi.org/10.1887/0750306483",
  ISBN =         "0-7503-0648-3",
  ISBN-13 =      "978-0-7503-0648-5",
  LCCN =         "QA166.7 .A78 2000",
  MRclass =      "52-01 (52A40 52C15 52C17 52C23)",
  MRnumber =     "1786410 (2001g:52001)",
  MRreviewer =   "Johann Linhart",
  bibdate =      "Tue Mar 13 11:03:37 2001",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  annote =       "This is an interesting little monograph on packing
                 problems, a surprising number of which continue to
                 elude proofs and solutions. Packing problems are
                 considered in two-, three-, and higher dimensions, for
                 bubbles, casks of Guinness, concrete, spheres, foam,
                 soap film, \ldots{}.",
  keywords =     "Hilbert's 18th Problem (How can one arrange most
                 densely in space an infinite number of equal solids of
                 given form, so that the ratio of the filled to the
                 unfilled space may be as great as possible?); Kepler
                 sphere-packing conjecture; Malfatti problem; Mallet's
                 model; Thomas Hales' packing-proof programme; Thomson
                 problem; Tammes problem; Vorono{\"\i} construction",
  libnote =      "Not in my library.",
}

@TechReport{Barg:2000:BPS,
  author =       "A. Barg and D. Nogin",
  title =        "Bounds for Packings of Spheres in the {Grassmann}
                 Manifolds",
  number =       "2000-19",
  institution =  "DIMACS",
  month =        jul # " 27",
  year =         "2000",
  bibdate =      "Fri Aug 14 17:30:34 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "Sat, 5 Aug 2000 13:00:00 GMT",
  URL =          "ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/2000/2000-19.ps.gz",
  abstract =     "We derive the Varshamov--Gilbert and Hamming bounds
                 for packings of spheres (codes) in the Grassmann
                 manifolds over $ \mathbb R $ and $ \mathbb C $. The
                 distance between two $k$-planes is defined as $ \rho
                 (p, q) = (\sin^2 \theta_1 + \dots + \sin^2 \theta_k)^{1
                 / 2}$, where $ \theta_i, 1 \le i \le k$, are the
                 principal angles between $p$ and $q$.",
  acknowledgement = ack-nhfb,
}

@Article{Betke:2000:DLP,
  author =       "U. Betke and M. Henk",
  title =        "Densest lattice packings of 3-polytopes",
  journal =      j-COMP-GEOM,
  volume =       "16",
  number =       "3",
  pages =        "157--186",
  month =        jul,
  year =         "2000",
  DOI =          "http://dx.doi.org/10.1016/S0925-7721(00)00007-9",
  ISSN =         "0925-7721",
  ISSN-L =       "0925-7721",
  bibdate =      "Fri Aug 14 17:12:07 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  abstract =     "Based on Minkowski's work on critical lattices of
                 3-dimensional convex bodies we present an efficient
                 algorithm for computing the density of a densest
                 lattice packing of an arbitrary 3-polytope. As an
                 application we calculate densest lattice packings of
                 all regular and Archimedean polytopes.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Geometry. Theory and Applications",
}

@Article{Cicalese:2000:OCO,
  author =       "Ferdinando Cicalese and Daniele Mundici",
  title =        "Optimal Coding with One Asymmetric Error: Below the
                 Sphere Packing Bound",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1858",
  pages =        "159--??",
  year =         "2000",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Fri Feb 1 09:16:48 MST 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t1858.htm;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/1858/18580159.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/1858/18580159.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Hales:2000:ARM,
  author =       "T. C. Hales and P. Sarnak and M. C. Pugh",
  title =        "Advances in Random Matrix Theory, Zeta Functions, and
                 Sphere Packing",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "97",
  number =       "24",
  pages =        "12963--12964",
  day =          "21",
  month =        nov,
  year =         "2000",
  CODEN =        "PNASA6",
  DOI =          "http://dx.doi.org/10.1073/pnas.220396097",
  ISSN =         "0027-8424 (print), 1091-6490 (electronic)",
  ISSN-L =       "0027-8424",
  MRclass =      "11H31 (11M26 52C17)",
  MRnumber =     "1795618 (2001k:11121)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.jstor.org/stable/123637",
  abstract =     "Over four hundred years ago, Sir Walter Raleigh asked
                 his mathematical assistant to find formulas for the
                 number of cannonballs in regularly stacked piles. These
                 investigations aroused the curiosity of the astronomer
                 Johannes Kepler and led to a problem that has gone
                 centuries without a solution: why is the familiar
                 cannonball stack the most efficient arrangement
                 possible? Here we discuss the solution that Hales found
                 in 1998. Almost every part of the 282-page proof relies
                 on long computer verifications. Random matrix theory
                 was developed by physicists to describe the spectra of
                 complex nuclei. In particular, the statistical
                 fluctuations of the eigenvalues (``the energy levels'')
                 follow certain universal laws based on symmetry types.
                 We describe these and then discuss the remarkable
                 appearance of these laws for zeros of the Riemann zeta
                 function (which is the generating function for prime
                 numbers and is the last special function from the last
                 century that is not understood today.) Explaining this
                 phenomenon is a central problem. These topics are
                 distinct, so we present them separately with their own
                 introductory remarks.",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  journal-URL =  "http://www.pnas.org/search",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:2000:CH,
  author =       "Thomas C. Hales",
  title =        "Cannonballs and Honeycombs",
  journal =      j-NAMS,
  volume =       "47",
  number =       "4",
  pages =        "440--449",
  month =        apr,
  year =         "2000",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  MRclass =      "52C17 (52C20 52C22)",
  MRnumber =     "1745624 (2000m:52027)",
  MRreviewer =   "R. Blind",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "In January 2003, the author was awarded the Chauvenet
                 Prize of the Mathematical Association of America for
                 this article.",
  URL =          "http://www.ams.org/notices/200004/fea-hales.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  keywords =     "Kepler sphere-packing conjecture",
}

@InCollection{Henk:2000:KIC,
  author =       "Martin Henk and G{\"u}nter M. Ziegler",
  booktitle =    "Alles {Mathematik}. ({German}) [{All} mathematics]",
  title =        "{Kugeln im Computer---die Kepler-Vermutung}.
                 ({German}) [{Spheres} in the computer --- the {Kepler}
                 conjecture]",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "121--143",
  year =         "2000",
  MRclass =      "52C17",
  MRnumber =     "1801830",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
  language =     "German",
}

@Article{Hilbert:2000:MP,
  author =       "David Hilbert",
  title =        "Mathematical problems",
  journal =      j-BULL-AMS,
  volume =       "37",
  number =       "4",
  pages =        "407--436",
  month =        "????",
  year =         "2000",
  CODEN =        "BAMOAD",
  DOI =          "http://dx.doi.org/10.1090/S0273-0979-00-00881-8",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  MRclass =      "01A75",
  MRnumber =     "1779412",
  bibdate =      "Wed Jan 09 17:19:41 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "Lecture delivered before the International Congress of
                 Mathematicians at Paris in 1900. Reprint of
                 \cite{Hilbert:1902:MP}. English translation of
                 \cite{Hilbert:1900:MPV, Hilbert:1901:MPV}.",
  URL =          "http://www.ams.org/journals/bull/2000-37-04/S0273-0979-00-00881-8/S0273-0979-00-00881-8.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  keywords =     "Hilbert's 23 Problems",
}

@Article{Klarreich:2000:FH,
  author =       "Erica G. Klarreich",
  title =        "Foams and honeycombs",
  journal =      j-AM-SCI,
  volume =       "88",
  number =       "2",
  pages =        "150--161",
  month =        mar # "\slash " # apr,
  year =         "2000",
  CODEN =        "AMSCAC",
  DOI =          "http://dx.doi.org/10.1511/2000.2.152",
  ISSN =         "0003-0996 (print), 1545-2786 (electronic)",
  ISSN-L =       "0003-0996",
  bibdate =      "Wed Jan 09 15:14:16 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.americanscientist.org/issues/feature/2000/2/foams-and-honeycombs",
  acknowledgement = ack-nhfb,
  fjournal =     "American Scientist",
  journal-URL =  "http://www.americanscientist.org/issues/past.aspx",
  remark =       "Morgan writes \cite{Morgan:2005:BRB}, ``So despite
                 similarities, Kepler s Conjecture on sphere packing in
                 $ \mathbb {R}^3 $ was orders of magnitude more
                 difficult than the Hexagonal Honeycomb Conjecture in $
                 \mathbb {R}^2 $, mainly because $ \mathbb {R}^3 $
                 provides so many more geometric possibilities than $
                 \mathbb {R}^2 $. But it was easier in one aspect: it is
                 a packing problem, whereas the Honeycomb Conjecture is
                 a partitioning problem. The optimal two-dimensional
                 packing, with six circles fitting perfectly around
                 every circle, is relatively easy and was proved in 1890
                 by Thue. (See Klarreich [this paper] for a beautiful
                 account.)",
}

@Article{Li:2000:BAF,
  author =       "X.-Y. Li and S.-H. Teng and A. {\"U}ng{\"o}r",
  title =        "Biting: advancing front meets sphere packing",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "49",
  number =       "1-2",
  pages =        "61--81",
  year =         "2000",
  CODEN =        "IJNMBH",
  ISSN =         "0029-5981",
  ISSN-L =       "0029-5981",
  bibdate =      "Thu Aug 13 17:45:47 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
}

@Article{Muses:2000:VKC,
  author =       "C. Mus{\`e}s",
  title =        "Validating {Kepler's Conjecture}: a new approach",
  journal =      j-APPL-MATH-COMP,
  volume =       "110",
  number =       "1",
  pages =        "99--104",
  year =         "2000",
  CODEN =        "AMHCBQ",
  DOI =          "http://dx.doi.org/10.1016/S0096-3003(99)00058-2",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  MRclass =      "52C17",
  MRnumber =     "1743359",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.elsevier.com/locate/issn/00963003;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.elsevier.nl/gej-ng/29/17/20/83/21/24/abstract.html;
                 http://www.elsevier.nl/gej-ng/29/17/20/83/21/24/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Oesterle:2000:DME,
  author =       "Joseph Oesterl{\'e}",
  title =        "Densit{\'e} maximale des empilements de sph{\`e}res en
                 dimension 3 (d'apr{\`e}s {Thomas C. Hales} et {Samuel
                 P. Ferguson}). ({French}) [Maximal 3-dimensional
                 sphere-packing density (according to {Thomas C. Hales}
                 et {Samuel P. Ferguson})]",
  journal =      "Ast{\'e}risque",
  volume =       "266",
  number =       "863(5)",
  pages =        "405--413",
  year =         "2000",
  ISSN =         "0303-1179",
  MRclass =      "52C17 (52A40)",
  MRnumber =     "1772681 (2001k:52030)",
  MRreviewer =   "A. Florian",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "S{\'e}minaire Bourbaki, Vol. 1998/99. Exp. no. 863,
                 5.",
  acknowledgement = ack-nhfb,
  fjournal =     "Ast\'erisque",
  keywords =     "Kepler sphere-packing conjecture",
  language =     "French",
}

@Article{Schnell:2000:FVH,
  author =       "Uwe Schnell",
  title =        "{FCC} versus {HCP} via parametric density",
  journal =      j-DISCRETE-MATH,
  volume =       "211",
  number =       "1-3",
  pages =        "269--274",
  year =         "2000",
  CODEN =        "DSMHA4",
  DOI =          "http://dx.doi.org/10.1016/S0012-365X(99)00158-2",
  ISSN =         "0012-365X",
  ISSN-L =       "0012-365X",
  MRclass =      "52C17 (52C23)",
  MRnumber =     "1735333 (2001f:52040)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete Mathematics",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Wang:2000:MAO,
  author =       "Jie Wang",
  title =        "Medial Axis and Optimal Locations for Min-Max Sphere
                 Packing",
  journal =      j-J-COMB-OPTIM,
  volume =       "4",
  number =       "4",
  pages =        "487--503",
  year =         "2000",
  CODEN =        "JCOPFV",
  ISSN =         "1382-6905",
  ISSN-L =       "1382-6905",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/jco/jco4.html#Wang00;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Combinatorial Optimization",
}

@InProceedings{Backofen:2001:OCF,
  author =       "Rolf Backofen and Sebastian Will",
  title =        "Optimally Compact Finite Sphere Packings ---
                 Hydrophobic Cores in the {FCC}",
  crossref =     "Amir:2001:CPM",
  volume =       "2089",
  pages =        "257--272",
  year =         "2001",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/cpm/cpm2001.html#BackofenW01;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/2089/20890257.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/2089/20890257.pdf;
                 http://link.springer-ny.com/link/service/series/0558/tocs/t2089.htm",
  acknowledgement = ack-nhfb,
}

@Book{Casti:2001:MMF,
  author =       "J. L. Casti",
  title =        "Mathematical mountaintops: the five most famous
                 problems of all time",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "177 + 3",
  year =         "2001",
  ISBN =         "0-19-514171-7",
  ISBN-13 =      "978-0-19-514171-9",
  LCCN =         "QA93 .C386 2001",
  bibdate =      "Wed Jan 9 08:09:14 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Popular works",
  tableofcontents = "The art of the problem \\
                 Hilbert's tenth problem \\
                 The four-color problem \\
                 The continuum hypothesis \\
                 The Kepler conjecture \\
                 Fermat's last theorem \\
                 The magnificent seven",
}

@InProceedings{Chen:2001:ACS,
  author =       "Danny Z. Chen and Xiaobo Hu and Yingping Huang and
                 Yifan Li and Jinhui Xu",
  title =        "Algorithms for congruent sphere packing and
                 applications",
  crossref =     "ACM:2001:PSA",
  pages =        "212--221",
  year =         "2001",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/compgeom/compgeom2001.html#ChenHHLX01;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://doi.acm.org/10.1145/378583.378672",
  acknowledgement = ack-nhfb,
}

@Book{Cornuejols:2001:COP,
  author =       "G{\'e}rard Cornu{\'e}jols",
  title =        "Combinatorial Optimization: Packing and Covering",
  volume =       "74",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xi + 132",
  year =         "2001",
  DOI =          "http://dx.doi.org/10.1137/1.9780898717105",
  ISBN =         "0-89871-481-8 (paperback)",
  ISBN-13 =      "978-0-89871-481-4 (paperback)",
  LCCN =         "QA166.7 .C67 2001",
  MRclass =      "90-02 (05-02 52C17 52C45 90C27 90C35)",
  MRnumber =     "1828452 (2002e:90004)",
  MRreviewer =   "Rainer Burkard",
  bibdate =      "Wed Jan 9 09:48:56 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "CBMS-NSF regional conference series in applied
                 mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0708/00066073-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0708/00066073-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Combinatorial packing and covering",
}

@InCollection{Gardner:2001:PS,
  author =       "Martin Gardner",
  title =        "Packing spheres",
  crossref =     "Gardner:2001:CBM",
  chapter =      "10",
  pages =        "128--136",
  year =         "2001",
  bibdate =      "Wed Jan 09 17:54:03 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "Page 135 mentions a conjecture by Stan Ulam in 1972
                 that ``the maximal density ($ \approx 0.74048$) for
                 packing congruent spheres is smaller than that for any
                 other convex body'' \cite[page
                 1547]{Lagarias:2012:MPR}.",
  acknowledgement = ack-nhfb,
}

@Article{Hales:2001:HC,
  author =       "Thomas C. Hales",
  title =        "The honeycomb conjecture",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "25",
  number =       "1",
  pages =        "1--22",
  month =        jan,
  year =         "2001",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s004540010071",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C20 (51M16)",
  MRnumber =     "1797293 (2002a:52020)",
  MRreviewer =   "W. Kuperberg",
  bibdate =      "Wed Jan 09 15:18:38 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@InProceedings{Hales:2001:SPG,
  author =       "Thomas C. Hales",
  title =        "Sphere packings and generative [{XXX}?]",
  crossref =     "ACM:2001:PSA",
  pages =        "69--69",
  year =         "2001",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/compgeom/compgeom2001.html#Hales01;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://doi.acm.org/10.1145/378583.378624",
  acknowledgement = ack-nhfb,
}

@Book{Hsiang:2001:LAP,
  author =       "Wu Yi Hsiang",
  title =        "Least action principle of crystal formation of dense
                 packing type and {Kepler}'s conjecture",
  volume =       "3",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xxii + 402",
  year =         "2001",
  DOI =          "http://dx.doi.org/10.1142/9789812384911",
  ISBN =         "981-02-4670-6",
  ISBN-13 =      "978-981-02-4670-9",
  LCCN =         "QA166.7 .H85 2001",
  MRclass =      "52C17",
  MRnumber =     "1962807 (2004g:52033)",
  MRreviewer =   "Udo Hertrich-Jeromin",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "With a foreword by S. S. Chern",
  series =       "Nankai Tracts in Mathematics",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
  subject =      "Kepler's conjecture; Sphere packings; Crystallography,
                 Mathematical",
  xxpages =      "xxi + 402",
}

@Article{Torquato:2001:MGS,
  author =       "S. Torquato and F. H. Stillinger",
  title =        "Multiplicity of generation, selection, and
                 classification procedures for jammed hard-particle
                 packings",
  journal =      j-J-PHYS-CHEM-B,
  volume =       "105",
  number =       "47",
  pages =        "11849--11853",
  day =          "13",
  month =        oct,
  year =         "2001",
  CODEN =        "JPCBFK",
  DOI =          "http://dx.doi.org/10.1021/jp011960q",
  ISSN =         "1089-5647 (print), 1520-6106 (electronic)",
  ISSN-L =       "1520-5207",
  bibdate =      "Fri Aug 14 21:41:30 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physical Chemistry. B. Condensed matter,
                 materials, surfaces, interfaces \& biophysical",
}

@InCollection{Verger-Gaugry:2001:RSP,
  author =       "Jean-Louis Verger-Gaugry",
  booktitle =    "{S{\'e}minaire de Th{\'e}orie Spectrale et
                 G{\'e}om{\'e}trie, Vol. 19, Ann{\'e}e 2000--2001}",
  title =        "Remarks on sphere packings, clusters and {Hales}
                 {Ferguson} theorem",
  volume =       "19",
  publisher =    "Universit{\'e} Grenoble I",
  address =      "Saint-Martin-d'H{\`e}res, France",
  pages =        "165--177",
  year =         "2001",
  MRclass =      "52C17 (52C23)",
  MRnumber =     "1909081 (2003d:52021)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "S{\'e}min. Th{\'e}or. Spectr. G{\'e}om.",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Barg:2002:BPS,
  author =       "Alexander Barg and Dmitry Yu. Nogin",
  title =        "Bounds on packings of spheres in the {Grassmann}
                 manifold",
  journal =      j-IEEE-TRANS-INF-THEORY,
  volume =       "48",
  number =       "9",
  pages =        "2450--2454",
  month =        sep,
  year =         "2002",
  CODEN =        "IETTAW",
  DOI =          "http://dx.doi.org/10.1109/TIT.2002.801469",
  ISSN =         "0018-9448 (print), 1557-9654 (electronic)",
  ISSN-L =       "0018-9448",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/tit/tit48.html#BargN02;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Information Theory",
}

@InProceedings{Cornforth:2002:EOB,
  author =       "David Cornforth",
  title =        "Evolution in the Orange Box --- {A} New Approach to
                 the Sphere-Packing Problem in {CMAC}-Based Neural
                 Networks",
  crossref =     "McKay:2002:AAA",
  pages =        "333--343",
  year =         "2002",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/ausai/ausai2002.html#Cornforth02;
                 http://link.springer-ny.com/link/service/series/0558/tocs/t2557.htm;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/series/0558/bibs/2557/25570333.htm;
                 http://link.springer.de/link/service/series/0558/papers/2557/25570333.pdf",
  acknowledgement = ack-nhfb,
}

@InProceedings{Gervois:2002:VRT,
  author =       "A. Gervois and Luc Oger and Patrick Richard and Jean
                 Paul Troadec",
  title =        "{Voronoi} and Radical Tessellations of Packings of
                 Spheres",
  crossref =     "Sloot:2002:CSIc",
  volume =       "2331",
  pages =        "95--104",
  year =         "2002",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/iccS/iccS2002-3.html#GervoisORT02;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/series/0558/bibs/2331/23310095.htm",
  acknowledgement = ack-nhfb,
}

@InProceedings{Hales:2002:CVK,
  author =       "Thomas C. Hales",
  booktitle =    "{Proceedings of the International Congress of
                 Mathematicians, Vol. III (Beijing, 2002)}",
  title =        "A computer verification of the {Kepler Conjecture}",
  publisher =    "Higher Education Press",
  address =      "Beijing, People's Republic of China",
  pages =        "795--804",
  year =         "2002",
  MRclass =      "52C17",
  MRnumber =     "1957580 (2004a:52036)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Lagarias:2002:BLD,
  author =       "J. C. Lagarias",
  title =        "Bounds for local density of sphere packings and the
                 {Kepler Conjecture}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "27",
  number =       "2",
  pages =        "165--193",
  month =        jan,
  year =         "2002",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/978-1-4614-1129-1_2",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "1880936 (2002k:52027)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/journals/00454/contents/01/0060/",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@InProceedings{March:2002:EVF,
  author =       "N. H. March and M. P. Tosi",
  title =        "Excluded Volume, Free Volume and Hard Sphere Packing",
  crossref =     "March:2002:ILS",
  pages =        "29--50",
  year =         "2002",
  DOI =          "http://dx.doi.org/10.1142/9789812778482_0002",
  bibdate =      "Fri May 31 08:35:00 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/march-norman-h.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.worldscientific.com/doi/abs/10.1142/9789812778482_0002",
  acknowledgement = ack-nhfb,
  book-URL =     "http://www.worldscientific.com/worldscibooks/10.1142/4717",
}

@Article{Molnar:2002:BTO,
  author =       "E. Moln{\'a}r and I. Prok and J. Szirmai",
  title =        "{Bestimmung der transitiven optimalen Kugelpackungen
                 f{\"u}r die 29 Raumgruppen, die Coxetersche
                 Spiegelungsuntergruppen enthalten}. ({German})
                 [{Characterization} of transitive optimal sphere
                 packings for the 29 space groups containing {Coxeter}
                 reflection subgroups]",
  journal =      "Studia Sci. Math. Hungar.",
  volume =       "39",
  number =       "3-4",
  pages =        "443--483",
  year =         "2002",
  CODEN =        "SSMHAX",
  DOI =          "http://dx.doi.org/10.1556/SScMath.39.2002.3-4.13",
  ISSN =         "0081-6906",
  MRclass =      "52C17 (20H15 52A40 52B10)",
  MRnumber =     "1956950 (2004a:52038)",
  bibdate =      "Thu Apr 12 18:15:18 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Studia Scientiarum Mathematicarum Hungarica. A
                 Quarterly of the Hungarian Academy of Sciences",
  language =     "German",
}

@Article{Bowen:2003:DPE,
  author =       "Lewis Bowen and Charles Radin",
  title =        "Densest Packing of Equal Spheres in Hyperbolic Space",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "29",
  number =       "1",
  pages =        "23--39",
  month =        dec,
  year =         "2003",
  CODEN =        "DCGEER",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg29.html#BowenR03;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.springer.de/link/service/journals/00454/contents/02/2791/index.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Cohn:2003:NUB,
  author =       "Henry Cohn and Noam Elkies",
  title =        "New Upper Bounds on Sphere Packings {I}",
  journal =      j-ANN-MATH-2,
  volume =       "157",
  number =       "2",
  pages =        "698--714",
  month =        mar,
  year =         "2003",
  CODEN =        "ANMAAH",
  ISSN =         "0003-486X (print), 1939-8980 (electronic)",
  ISSN-L =       "0003-486X",
  bibdate =      "Thu Aug 13 16:38:01 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.jstor.org/stable/3597215",
  abstract =     "We develop an analogue for sphere packing of the
                 linear programming bounds for error-correcting codes,
                 and use it to prove upper bounds for the density of
                 sphere packings, which are the best bounds known at
                 least for dimensions 4 through 36. We conjecture that
                 our approach can be used to solve the sphere packing
                 problem in dimensions 8 and 24.",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of Mathematics (2)",
  journal-URL =  "http://www.jstor.org/action/showPublication?journalCode=annamath",
}

@Article{Cox:2003:MPI,
  author =       "S. J. Cox and F. Graner and M. Fatima Vaz and C.
                 Monnereaupittet and N. Pittet",
  title =        "Minimal perimeter for {$N$} identical bubbles in two
                 dimensions: calculations and simulations",
  journal =      j-PHIL-MAGAZINE,
  volume =       "83",
  number =       "??",
  pages =        "1393--1406",
  month =        "????",
  year =         "2003",
  CODEN =        "PHMAA4",
  DOI =          "",
  ISSN =         "0031-8086",
  bibdate =      "Wed Jan 09 15:22:36 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  fjournal =     "Philosophical Magazine",
  journal-URL =  "http://www.tandfonline.com/loi/tphm19",
}

@InCollection{Hales:2003:SAA,
  author =       "Thomas C. Hales",
  booktitle =    "Discrete and computational geometry",
  title =        "Some algorithms arising in the proof of the {Kepler
                 Conjecture}",
  volume =       "25",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "489--507",
  year =         "2003",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-55566-4_22",
  MRclass =      "52C17 (90C27)",
  MRnumber =     "2038488 (2005b:52047)",
  MRreviewer =   "Achill Sch{\"u}rmann",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Algorithms Combin.",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hauser:2003:GPM,
  author =       "Kai Hauser and Reinhard Lang",
  title =        "On the geometrical and physical meaning of {Newton}'s
                 solution to {Kepler}'s problem",
  journal =      j-MATH-INTEL,
  volume =       "25",
  number =       "4",
  pages =        "35--44",
  year =         "2003",
  CODEN =        "MAINDC",
  DOI =          "http://dx.doi.org/10.1007/BF02984860",
  ISSN =         "0343-6993",
  ISSN-L =       "0343-6993",
  MRclass =      "70F05 (01A45 52C17 70-03)",
  MRnumber =     "2012561 (2005a:70009)",
  MRreviewer =   "Florin N. Diacu",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The Mathematical Intelligencer",
  keywords =     "Kepler sphere-packing conjecture",
}

@Book{Szpiro:2003:KC,
  author =       "George G. Szpiro",
  title =        "{Kepler}'s conjecture",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "viii + 296",
  year =         "2003",
  ISBN =         "0-471-08601-0",
  ISBN-13 =      "978-0-471-08601-7",
  MRclass =      "52C17 (01A05 05B40 52-03)",
  MRnumber =     "2133723 (2007c:52023)",
  MRreviewer =   "P. D. F. Ion",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "How some of the greatest minds in history helped solve
                 one of the oldest math problems in the world",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Book{Szpiro:2003:KCH,
  editor =       "George Szpiro",
  title =        "{Kepler's Conjecture}: how some of the greatest minds
                 in history helped solve one of the oldest math problems
                 in the world",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "viii + 296",
  year =         "2003",
  ISBN =         "0-471-08601-0",
  ISBN-13 =      "978-0-471-08601-7",
  LCCN =         "QA93 .S97 2003",
  MRclass =      "52C17 (01A05 05B40 52-03)",
  MRnumber =     "2133723 (2007c:52023)",
  MRreviewer =   "P. D. F. Ion",
  bibdate =      "Thu Aug 13 16:25:44 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/bios/wiley046/2002014422.html;
                 http://www.loc.gov/catdir/description/wiley039/2002014422.html;
                 http://www.loc.gov/catdir/toc/wiley031/2002014422.html",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Popular works",
  tableofcontents = "Cannonballs and tomatoes \\
                 The puzzle of the dozen spheres \\
                 Fire hydrants and soccer players \\
                 Thue's two attempts and Fejes-T\'oth's achievement \\
                 Twelve's company, thirteen's a crowd \\
                 Nets and knots \\
                 Twisted boxes \\
                 No dancing at this congress \\
                 The race for the upper bound \\
                 Right angles for round spaces \\
                 Wobbly balls and hybrid stars \\
                 Simplex, Cplex, and symbolic mathematics \\
                 But is it really a proof? \\
                 Beehives again \ldots{} This is not an epilogue",
}

@Article{Szpiro:2003:MDP,
  author =       "George Szpiro",
  title =        "Mathematics: Does the proof stack up?",
  journal =      j-NATURE,
  volume =       "424",
  number =       "6944",
  pages =        "12--13",
  day =          "3",
  month =        jul,
  year =         "2003",
  CODEN =        "NATUAS",
  DOI =          "http://dx.doi.org/10.1038/424012a",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Wed Jan 09 15:21:19 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.nature.com/nature/journal/v424/n6944/full/424012a.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  remark =       "From the introduction: ``Think peer review takes too
                 long? One mathematician has waited four years to have
                 his paper refereed, only to hear that the exhausted
                 reviewers can't be certain whether his proof is
                 correct. George Szpiro investigates.''",
}

@Book{Boroczky:2004:FPC,
  author =       "K{\'a}roly {B{\"o}r{\"o}czky, Jr.}",
  title =        "Finite Packing and Covering",
  volume =       "154",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xvii + 380",
  year =         "2004",
  DOI =          "http://dx.doi.org/10.1017/CBO9780511546587",
  ISBN =         "0-521-80157-5",
  ISBN-13 =      "978-0-521-80157-7",
  LCCN =         "QA166.7 .B67 2004",
  MRclass =      "52C15 (05B40 52C17 52C20 52C22)",
  MRnumber =     "2078625 (2005g:52045)",
  MRreviewer =   "J. M. Wills",
  bibdate =      "Wed Jan 9 08:44:32 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Cambridge tracts in mathematics",
  URL =          "http://www.loc.gov/catdir/description/cam041/2003065450.html;
                 http://www.loc.gov/catdir/samples/cam051/2003065450.html;
                 http://www.loc.gov/catdir/toc/cam041/2003065450.html",
  acknowledgement = ack-nhfb,
  subject =      "Combinatorial packing and covering",
}

@Article{Donev:2004:LPA,
  author =       "Aleksandar Donev and Salvatore Torquato and Frank H.
                 Stillinger and Robert Connelly",
  title =        "A linear programming algorithm to test for jamming in
                 hard-sphere packings",
  journal =      j-J-COMPUT-PHYS,
  volume =       "197",
  number =       "1",
  pages =        "139--166",
  day =          "10",
  month =        jun,
  year =         "2004",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/j.jcp.2003.11.022",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:12:40 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999103006235",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Donev:2004:UDC,
  author =       "A. Donev and F. H. Stillinger and P. M. Chaikin and S.
                 Torquato",
  title =        "Unusually dense crystal ellipsoid packings",
  journal =      j-PHYS-REV-LET,
  volume =       "92",
  number =       "25",
  pages =        "255506",
  day =          "25",
  month =        jun,
  year =         "2004",
  CODEN =        "PRLTAO",
  ISSN =         "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
  ISSN-L =       "0031-9007",
  bibdate =      "Fri Aug 14 21:29:02 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review Letters",
  journal-URL =  "http://prl.aps.org/browse",
  pagecount =    "4",
}

@Article{Gensane:2004:DPE,
  author =       "Thierry Gensane",
  title =        "Dense Packings of Equal Spheres in a Cube",
  journal =      j-ELECT-J-COMB,
  volume =       "11",
  number =       "1",
  year =         "2004",
  ISSN =         "1077-8926 (print), 1097-1440 (electronic)",
  ISSN-L =       "1077-8926",
  bibdate =      "Thu Aug 13 18:08:00 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/combinatorics/combinatorics11.html#Gensane04;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.combinatorics.org/Volume_11/Abstracts/v11i1r33.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Journal of Combinatorics",
}

@InProceedings{Hales:2004:FPK,
  author =       "Thomas C. Hales",
  title =        "Formalizing the Proof of the {Kepler Conjecture}",
  crossref =     "Slind:2004:TPH",
  pages =        "117--117",
  year =         "2004",
  bibdate =      "Thu Aug 13 17:33:59 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/tphol/tphol2004.html#Hales04;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://springerlink.metapress.com/openurl.asp?genre=article&issn=0302-9743&spage=117;volume=3223",
  acknowledgement = ack-nhfb,
}

@Article{Radin:2004:OOS,
  author =       "Charles Radin",
  title =        "Orbits of Orbs: Sphere Packing Meets {Penrose}
                 Tilings",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "111",
  number =       "2",
  pages =        "137--149",
  month =        feb,
  year =         "2004",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Thu Aug 13 16:41:03 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.jstor.org/stable/4145214",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@Article{Barg:2005:CBP,
  author =       "Alexander Barg and Dmitry Yu. Nogin",
  title =        "Correction to ``Bounds on Packings of Spheres in the
                 {Grassmann} Manifold''",
  journal =      j-IEEE-TRANS-INF-THEORY,
  volume =       "51",
  number =       "7",
  pages =        "2732--2732",
  month =        jul,
  year =         "2005",
  CODEN =        "IETTAW",
  DOI =          "http://dx.doi.org/10.1109/TIT.2005.850231",
  ISSN =         "0018-9448 (print), 1557-9654 (electronic)",
  ISSN-L =       "0018-9448",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/tit/tit51.html#BargN05;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Information Theory",
}

@Article{Busa:2005:AFP,
  author =       "J{\'a}n Busa and Jozef Dzurina and Edik Hayryan and
                 Shura Hayryan and Chin-Kun Hu and J{\'a}n Pl{\'a}vka
                 and Imrich Pokorn{\'y} and Jaroslav Skriv{\'a}nek and
                 Ming-Chya Wu",
  title =        "{ARVO}: {A} {Fortran} package for computing the
                 solvent accessible surface area and the excluded volume
                 of overlapping spheres via analytic equations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "165",
  number =       "1",
  pages =        "59--96",
  year =         "2005",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/j.cpc.2004.08.002",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/cphysics/cphysics165.html#BusaDHHHPPSW05;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Davies:2005:WM,
  author =       "Brian Davies",
  title =        "Whither Mathematics?",
  journal =      j-NAMS,
  volume =       "52",
  number =       "11",
  pages =        "1350--1356",
  month =        dec,
  year =         "2005",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920",
  bibdate =      "Tue Nov 29 05:30:24 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.ams.org/notices/200511/comm-davies.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  keywords =     "classification of finite simple groups;
                 computer-assisted proofs; consistency of Peano
                 arithmetic; four-color theorem; interval arithmetic;
                 Kepler sphere-packing conjecture; Monster group",
}

@Article{Donev:2005:NLCa,
  author =       "Aleksandar Donev and Salvatore Torquato and Frank H.
                 Stillinger",
  title =        "Neighbor list collision-driven molecular dynamics
                 simulation for nonspherical hard particles. {I}.
                 {Algorithmic} details",
  journal =      j-J-COMPUT-PHYS,
  volume =       "202",
  number =       "2",
  pages =        "737--764",
  day =          "20",
  month =        jan,
  year =         "2005",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/j.jcp.2004.08.014",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:12:47 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999104003146",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Donev:2005:NLCb,
  author =       "Aleksandar Donev and Salvatore Torquato and Frank H.
                 Stillinger",
  title =        "Neighbor list collision-driven molecular dynamics
                 simulation for nonspherical hard particles. {II}.
                 {Applications} to ellipses and ellipsoids",
  journal =      j-J-COMPUT-PHYS,
  volume =       "202",
  number =       "2",
  pages =        "765--793",
  day =          "20",
  month =        jan,
  year =         "2005",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/j.jcp.2004.08.025",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:12:47 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999104003948",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Hales:2005:PKC,
  author =       "Thomas C. Hales",
  title =        "A proof of the {Kepler Conjecture}",
  journal =      j-ANN-MATH-2,
  volume =       "162",
  number =       "3",
  pages =        "1065--1185",
  year =         "2005",
  CODEN =        "ANMAAH",
  DOI =          "http://dx.doi.org/10.4007/annals.2005.162.1065",
  ISSN =         "0003-486X (print), 1939-8980 (electronic)",
  ISSN-L =       "0003-486X",
  MRclass =      "52C17",
  MRnumber =     "2179728 (2006g:52029)",
  MRreviewer =   "G{\'e}za T{\'o}th",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "This proof is so complex that twelve journal referees
                 were unable to verify it between its submission in 1998
                 and publication seven years later, so the editors
                 decided to publish the article with a disclaimer about
                 the lack of proof verification; see
                 \cite{Morgan:2005:BRB} for more on this paper, and the
                 associated book \cite{Szpiro:2003:KCH}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of Mathematics. Second Series",
  journal-URL =  "http://www.jstor.org/action/showPublication?journalCode=annamath",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Henkel:2005:SPB,
  author =       "O. Henkel",
  title =        "Sphere-packing bounds in the {Grassmann} and {Stiefel}
                 manifolds",
  journal =      j-IEEE-TRANS-INF-THEORY,
  volume =       "51",
  number =       "10",
  pages =        "3445--3456",
  month =        oct,
  year =         "2005",
  CODEN =        "IETTAW",
  DOI =          "http://dx.doi.org/10.1109/TIT.2005.855594",
  ISSN =         "0018-9448 (print), 1557-9654 (electronic)",
  ISSN-L =       "0018-9448",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/tit/tit51.html#Henkel05;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Information Theory",
}

@Article{Morgan:2005:BRB,
  author =       "Frank Morgan",
  title =        "Book Review: {{\booktitle{Kepler's Conjecture}} and
                 Hales' Proof}",
  journal =      j-NAMS,
  volume =       "52",
  number =       "1",
  pages =        "44--47",
  month =        jan,
  year =         "2005",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  bibdate =      "Wed Jan 09 07:58:15 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "Review of \cite{Szpiro:2003:KCH}.",
  URL =          "http://www.ams.org/notices/200501/rev-morgan.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  remark =       "\booktitle{Kepler's Conjecture: How some of the
                 greatest minds in history helped solve one of the
                 oldest math problems in the world}, George G. Szpiro,
                 John Wiley \& Sons, Inc., 2003, \$24.95, ISBN
                 0-471-08601-0.",
}

@Article{Muraz:2005:LBD,
  author =       "G. Muraz and J.-L. Verger-Gaugry",
  title =        "On Lower Bounds of the Density of {Delone} Sets and
                 Holes in Sequences of Sphere Packings",
  journal =      j-EXP-MATH,
  volume =       "14",
  number =       "1",
  pages =        "47--57",
  month =        "????",
  year =         "2005",
  CODEN =        "????",
  DOI =          "http://dx.doi.org/10.1080/10586458.2005.10128908",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  bibdate =      "Mon Mar 5 15:33:58 MST 2012",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 http://www.math.utah.edu/pub/tex/bib/expmath.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.tandfonline.com/toc/uexm20/14/1",
  URL =          "http://projecteuclid.org/euclid.em/1120145569",
  acknowledgement = ack-nhfb,
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  onlinedate =   "30 Jan 2011",
}

@InProceedings{Obua:2005:PBR,
  author =       "Steven {Obua}",
  title =        "Proving bounds for real linear programs in
                 {Isabelle\slash HOL}",
  crossref =     "Hurd:2005:TPH",
  pages =        "227--244",
  year =         "2005",
  DOI =          "http://dx.doi.org/10.1007/11541868",
  MRclass =      "68T15 90C05",
  bibdate =      "Thu May 22 16:22:40 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  ZMnumber =     "1152.68531",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
}

@Article{Ambrus:2006:NLB,
  author =       "G. Ambrus and F. Fodor",
  title =        "A new lower bound on the surface area of a {Voronoi}
                 polyhedron",
  journal =      j-PERIOD-MATH-HUNGAR,
  volume =       "53",
  number =       "1-2",
  pages =        "45--58",
  year =         "2006",
  CODEN =        "PMHGAW",
  DOI =          "http://dx.doi.org/10.1007/s10998-006-0020-5",
  ISSN =         "0031-5303",
  ISSN-L =       "0031-5303",
  MRclass =      "52C17 (52A40)",
  MRnumber =     "2286459 (2007m:52023)",
  MRreviewer =   "Konrad J. Swanepoel",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Periodica Mathematica Hungarica. Journal of the
                 J\'anos Bolyai Mathematical Society",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Bezdek:2006:SPR,
  author =       "K{\'a}roly Bezdek",
  title =        "Sphere packings revisited",
  journal =      j-EUR-J-COMB,
  volume =       "27",
  number =       "6",
  pages =        "864--883",
  year =         "2006",
  CODEN =        "EJOCDI",
  DOI =          "http://dx.doi.org/10.1016/j.ejc.2005.05.001",
  ISSN =         "0195-6698",
  ISSN-L =       "0195-6698",
  MRclass =      "52C17 (05B40)",
  MRnumber =     "2226423 (2007a:52021)",
  MRreviewer =   "Gy{\"o}rgy D{\'o}sa",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/ejc/ejc27.html#Bezdek06;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "European Journal of Combinatorics",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Bundy:2006:VMD,
  author =       "Alan Bundy",
  title =        "A Very Mathematical Dilemma",
  journal =      j-COMP-J,
  volume =       "49",
  number =       "4",
  pages =        "480--486",
  month =        jul,
  year =         "2006",
  CODEN =        "CMPJA6",
  DOI =          "http://dx.doi.org/10.1093/comjnl/bxl021",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Jun 23 11:56:45 MDT 2006",
  bibsource =    "http://comjnl.oxfordjournals.org/content/vol49/issue4/index.dtl;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://comjnl.oxfordjournals.org/cgi/content/abstract/49/4/480;
                 http://comjnl.oxfordjournals.org/cgi/content/full/49/4/480;
                 http://comjnl.oxfordjournals.org/cgi/reprint/49/4/480",
  abstract =     "Mathematics is facing a dilemma at its heart: the
                 nature of mathematical proof. We have known since
                 Church and Turing independently showed that
                 mathematical provability was undecidable that there are
                 theorems whose shortest proofs are enormous. Within the
                 last half-century we have discovered practical examples
                 of such theorems: the classification of all finite
                 simple groups, the Four Colour Theorem and Kepler's
                 Conjecture. These theorems were only proved with the
                 aid of a computer. But computer proof is very
                 controversial, with many mathematicians refusing to
                 accept a proof that has not been thoroughly checked and
                 understood by a human. The choice seems to be between
                 either abandoning the investigation of theorems whose
                 only proofs are enormous or changing traditional
                 mathematical practice to include computer-aided proofs.
                 Or is there a way to make large computer proofs more
                 accessible to human mathematicians?",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Conway:2006:PTC,
  author =       "J. H. Conway and S. Torquato",
  title =        "Packing, Tiling, and Covering with Tetrahedra",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "103",
  number =       "28",
  pages =        "10612--10617",
  day =          "11",
  month =        jul,
  year =         "2006",
  CODEN =        "PNASA6",
  ISSN =         "0027-8424 (print), 1091-6490 (electronic)",
  ISSN-L =       "0027-8424",
  bibdate =      "Thu Aug 13 16:39:01 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.jstor.org/stable/30049550",
  abstract =     "It is well known that three-dimensional Euclidean
                 space cannot be tiled by regular tetrahedra. But how
                 well can we do? In this work, we give several
                 constructions that may answer the various senses of
                 this question. In so doing, we provide some solutions
                 to packing, tiling, and covering problems of
                 tetrahedra. Our results suggest that the regular
                 tetrahedron may not be able to pack as densely as the
                 sphere, which would contradict a conjecture of Ulam.
                 The regular tetrahedron might even be the convex body
                 having the smallest possible packing density.",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  journal-URL =  "http://www.pnas.org/search",
}

@Article{Ferguson:2006:SPV,
  author =       "Samuel P. Ferguson",
  title =        "Sphere packings. {V}. {Pentahedral} prisms",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "36",
  number =       "1",
  pages =        "167--204",
  month =        jul,
  year =         "2006",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-005-1214-y",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (05B40)",
  MRnumber =     "2229661 (2007d:52025)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg36.html#Ferguson06;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:2006:FKC,
  author =       "Thomas C. Hales and Samuel P. Ferguson",
  title =        "A formulation of the {Kepler Conjecture}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "36",
  number =       "1",
  pages =        "21--69",
  month =        jul,
  year =         "2006",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-005-1211-1",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (05B40)",
  MRnumber =     "2229658 (2007d:52022)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:2006:HOK,
  author =       "Thomas C. Hales",
  title =        "Historical overview of the {Kepler Conjecture}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "36",
  number =       "1",
  pages =        "5--20",
  month =        jul,
  year =         "2006",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-005-1210-2",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (05B40)",
  MRnumber =     "2229657 (2007d:52021)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:2006:SPIa,
  author =       "Thomas C. Hales",
  title =        "Sphere packings. {III}. {Extremal} cases",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "36",
  number =       "1",
  pages =        "71--110",
  month =        jul,
  year =         "2006",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-005-1212-0",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (05B40)",
  MRnumber =     "2229659 (2007d:52023)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg36.html#Hales06a;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:2006:SPIb,
  author =       "Thomas C. Hales",
  title =        "Sphere Packings. {IV}. {Detailed} Bounds",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "36",
  number =       "1",
  pages =        "111--166",
  month =        jul,
  year =         "2006",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-005-1213-z",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (05B40)",
  MRnumber =     "2229660 (2007d:52024)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg36.html#Hales06b;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:2006:SPV,
  author =       "Thomas C. Hales",
  title =        "Sphere packings. {VI}. {Tame} graphs and linear
                 programs",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "36",
  number =       "1",
  pages =        "205--265",
  month =        jul,
  year =         "2006",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-005-1215-x",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (05B40 90C08)",
  MRnumber =     "2229662 (2007d:52026)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg36.html#Hales06c;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@InCollection{Nipkow:2006:FTG,
  author =       "Tobias Nipkow and Gertrud Bauer and Paula Schultz",
  booktitle =    "Automated reasoning",
  title =        "Flyspeck. {I}. {Tame} graphs",
  volume =       "4130",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "21--35",
  year =         "2006",
  DOI =          "http://dx.doi.org/10.1007/11814771_4",
  MRclass =      "Database Expansion Item",
  MRnumber =     "2354670",
  bibdate =      "Thu May 22 17:30:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Lecture Notes in Comput. Sci.",
  acknowledgement = ack-nhfb,
}

@Article{Parisi:2006:APH,
  author =       "G. Parisi and F. Zamponi",
  title =        "Amorphous packings of hard spheres in large space
                 dimension",
  journal =      "Computing Research Repository (CoRR)",
  volume =       "abs/cond-mat/0601573",
  year =         "2006",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/corr/corr0601.html#abs-cond-mat-0601573;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "informal publication",
  URL =          "http://arxiv.org/abs/cond-mat/0601573",
  acknowledgement = ack-nhfb,
}

@Article{Sahai:2006:HBS,
  author =       "Anant Sahai",
  title =        "How to beat the sphere-packing bound with feedback",
  journal =      "Computing Research Repository (CoRR)",
  volume =       "abs/cs/0610139",
  year =         "2006",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/corr/corr0610.html#abs-cs-0610139;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "informal publication",
  URL =          "http://arxiv.org/abs/cs/0610139",
  acknowledgement = ack-nhfb,
}

@Article{Schurmann:2006:PSC,
  author =       "Achill Sch{\"u}rmann",
  title =        "On packing spheres into containers",
  journal =      j-DOC-MATH,
  volume =       "11",
  pages =        "393--406 (electronic)",
  year =         "2006",
  ISSN =         "1431-0635",
  ISSN-L =       "1431-0635",
  MRclass =      "52C17 (01A45 05B40)",
  MRnumber =     "2288074 (2007j:52020)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Documenta Mathematica",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Skoge:2006:PHH,
  author =       "Monica Skoge and Aleksandar Donev and Frank H.
                 Stillinger and Salvatore Torquato",
  title =        "Packing hyperspheres in high-dimensional {Euclidean}
                 spaces",
  journal =      j-PHYS-REV-E,
  volume =       "74",
  number =       "4",
  pages =        "041127",
  month =        oct,
  year =         "2006",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.74.041127",
  ISSN =         "1539-3755 (print), 1550-2376 (electronic)",
  ISSN-L =       "1539-3755",
  bibdate =      "Wed Feb 29 20:59:25 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRevE.74.041127",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
  pagecount =    "11",
}

@Article{Torquato:2006:NCL,
  author =       "S. Torquato and F. H. Stillinger",
  title =        "New Conjectural Lower Bounds on the Optimal Density of
                 Sphere Packings",
  journal =      j-EXP-MATH,
  volume =       "15",
  number =       "3",
  pages =        "307--331",
  month =        "????",
  year =         "2006",
  CODEN =        "????",
  DOI =          "http://dx.doi.org/10.1080/10586458.2006.10128964",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  bibdate =      "Mon Mar 5 15:43:50 MST 2012",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 http://www.math.utah.edu/pub/tex/bib/expmath.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.tandfonline.com/toc/uexm20/15/3",
  URL =          "http://projecteuclid.org/euclid.em/1175789761",
  acknowledgement = ack-nhfb,
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  onlinedate =   "30 Jan 2011",
  xxauthor =     "F. H. Stillinger and S. Torquato",
  xxpages =      "307--332",
}

@Article{Torquato:2006:RSA,
  author =       "S. Torquato and O. U. Uche and F. H. Stillinger",
  title =        "Random sequential addition of hard spheres in high
                 {Euclidean} dimensions",
  journal =      j-PHYS-REV-E,
  volume =       "74",
  number =       "6 (part 1)",
  pages =        "061308",
  month =        dec,
  year =         "2006",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.74.061308",
  ISSN =         "1539-3755",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Jun 7 07:03:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@Article{Toth:2006:GEF,
  author =       "G{\'a}bor Fejes Toth and Jeffrey C. Lagarias",
  title =        "Guest editors' foreword {[The Kepler Conjecture by
                 Thomas C. Hales, with Samuel P.\ Ferguson]}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "36",
  number =       "1",
  pages =        "1--3",
  month =        jul,
  year =         "2006",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-005-1209-8",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52-06 (52C17)",
  MRnumber =     "2229656",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture",
}

@Book{Zong:2006:CWC,
  author =       "Chuanming Zong",
  title =        "The Cube: a Window to Convex and Discrete Geometry",
  volume =       "168",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "x + 174",
  year =         "2006",
  DOI =          "http://dx.doi.org/10.1017/CBO9780511543173",
  ISBN =         "0-521-85535-7 (hardcover)",
  ISBN-13 =      "978-0-521-85535-8 (hardcover)",
  LCCN =         "QA639.5 .Z64 2006",
  MRclass =      "52B12 (05C99 52B05 52B70 94A08)",
  MRnumber =     "2221660 (2007a:52016)",
  bibdate =      "Wed Jan 9 09:28:14 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Cambridge tracts in mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0642/2006296040-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0642/2006296040-t.html;
                 http://www.loc.gov/catdir/enhancements/fy0733/2006296040-b.html",
  acknowledgement = ack-nhfb,
  subject =      "Convex geometry; Discrete geometry",
}

@InProceedings{Anikeenko:2007:RQR,
  author =       "Alexey V. Anikeenko and Nikolai N. Medvedev",
  title =        "The Role of Quasi-Regular Tetrahedra in Dense
                 Disordered Packings of Hard Spheres",
  crossref =     "IEEE:2007:ISV",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "130--134",
  year =         "2007",
  DOI =          "http://dx.doi.org/10.1109/ISVD.2007.36",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/isvd/isvd2007.html#AnikeenkoM07;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
}

@Article{Donev:2007:UJP,
  author =       "A. Donev and R. Connelly and F. H. Stillinger and S.
                 Torquato",
  title =        "Underconstrained jammed packings of nonspherical hard
                 particles: ellipses and ellipsoids",
  journal =      j-PHYS-REV-E,
  volume =       "75",
  number =       "5",
  pages =        "051304",
  month =        "????",
  year =         "2007",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.75.051304",
  ISSN =         "1539-3755 (print), 1550-2376 (electronic)",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Aug 14 21:43:34 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRevE.75.051304",
  abstract =     "Continuing on recent computational and experimental
                 work on jammed packings of hard ellipsoids [Donev et
                 al., Science 303, 990 (2004)] we consider jamming in
                 packings of smooth strictly convex nonspherical hard
                 particles. We explain why an isocounting conjecture,
                 which states that for large disordered jammed packings
                 the average contact number per particle is twice the
                 number of degrees of freedom per particle ($ \bar {Z} =
                 2 d_f$), does not apply to nonspherical particles. We
                 develop first- and second-order conditions for jamming
                 and demonstrate that packings of nonspherical particles
                 can be jammed even though they are underconstrained
                 (hypoconstrained, $ \bar {Z} < 2 d_f$). We apply an
                 algorithm using these conditions to computer-generated
                 hypoconstrained ellipsoid and ellipse packings and
                 demonstrate that our algorithm does produce jammed
                 packings, even close to the sphere point. We also
                 consider packings that are nearly jammed and draw
                 connections to packings of deformable (but stiff)
                 particles. Finally, we consider the jamming conditions
                 for nearly spherical particles and explain
                 quantitatively the behavior we observe in the vicinity
                 of the sphere point.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
  pagecount =    "32",
}

@Book{Gruber:2007:CDG,
  author =       "Peter M. Gruber",
  title =        "Convex and discrete geometry",
  volume =       "336",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiii + 578",
  year =         "2007",
  ISBN =         "3-540-71132-5 (hardcover)",
  ISBN-13 =      "978-3-540-71132-2 (hardcover)",
  LCCN =         "QA639.5 .G78 2007",
  MRclass =      "52-02 (11-02 46B20 49-02 49J53 90C25)",
  MRnumber =     "2335496 (2008f:52001)",
  MRreviewer =   "Aleksandr Koldobsky",
  bibdate =      "Wed Jan 9 09:28:14 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Grundlehren der mathematischen Wissenschaften",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0825/2007922936-b.html;
                 http://www.loc.gov/catdir/enhancements/fy0825/2007922936-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0825/2007922936-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Convex geometry; Discrete geometry",
}

@InCollection{Hales:2007:EQR,
  author =       "Thomas C. {Hales}",
  title =        "Equidecomposable quadratic regions",
  crossref =     "Botana:2007:ADG",
  pages =        "24--38",
  year =         "2007",
  DOI =          "http://dx.doi.org/10.1007/978-3-540-77356-6_2",
  MRclass =      "68U05 51M20 51M25 68T15",
  bibdate =      "Thu May 22 16:19:28 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  ZMnumber =     "1195.68104",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
}

@InProceedings{Imamichi:2007:MSS,
  author =       "Takashi Imamichi and Hiroshi Nagamochi",
  title =        "A Multi-sphere Scheme for {$2$D} and {$3$D} Packing
                 Problems",
  crossref =     "Stutzle:2007:ESL",
  pages =        "207--211",
  year =         "2007",
  DOI =          "http://dx.doi.org/10.1007/978-3-540-74446-7_19",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/sls/sls2007.html#ImamichiN07;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
}

@Article{Kuperberg:2007:OAP,
  author =       "Wlodzimierz Kuperberg",
  title =        "Optimal Arrangements in Packing Congruent Balls in a
                 Spherical Container",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "37",
  number =       "2",
  pages =        "205--212",
  month =        feb,
  year =         "2007",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-006-1303-6",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/dcg/dcg37.html#Kuperberg07;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@InProceedings{Nipkow:2007:FTG,
  author =       "Tobias Nipkow and Gertrud Bauer and Paula Schultz",
  title =        "{Flyspeck I}. {Tame} graphs",
  crossref =     "Furbach:2007:ART",
  pages =        "21--35",
  year =         "2007",
  DOI =          "http://dx.doi.org/10.1007/11814771_4",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  MRclass =      "52C17 (Packing and covering in n dimensions (discrete
                 geometry)); 68T15 (Theorem proving (deduction,
                 resolution, etc.))",
  MRnumber =     "2354670",
  bibdate =      "Thu May 22 15:38:33 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Lecture Notes in Computer Science",
  ZMnumber =     "1222.52018",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
}

@Article{Trovato:2007:SSO,
  author =       "Antonio Trovato and Trinh Xuan Hoang and Jayanth R.
                 Banavar and Amos Maritan",
  title =        "Symmetry, Shape, and Order",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "104",
  number =       "49",
  pages =        "19187--19192",
  month =        dec,
  year =         "2007",
  CODEN =        "PNASA6",
  DOI =          "http://dx.doi.org/10.1073/pnas.0707523104",
  ISSN =         "0027-8424",
  ISSN-L =       "0027-8424",
  bibdate =      "Fri Jun 7 05:51:55 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  journal-URL =  "http://www.pnas.org/search",
}

@Article{Zammataro:2007:ECM,
  author =       "Luca Zammataro and Guido Serini and Todd Rowland and
                 Federico Bussolino",
  title =        "Embryonic cleavage modeling as a computational
                 approach to sphere packing problem",
  journal =      j-J-THEOR-BIOL,
  volume =       "245",
  number =       "1",
  pages =        "77--82",
  year =         "2007",
  CODEN =        "JTBIAP",
  DOI =          "http://dx.doi.org/10.1016/j.jtbi.2006.09.032",
  ISSN =         "0022-5193",
  ISSN-L =       "0022-5193",
  MRclass =      "92C37 (52C17)",
  MRnumber =     "2306459 (2007m:92023)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Theoretical Biology",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00225193",
  keywords =     "Kepler sphere-packing conjecture",
}

@InCollection{Anikeenko:2008:SDS,
  author =       "Alexey V. Anikeenko and Marina L. Gavrilova and
                 Nikolai N. Medvedev",
  title =        "Shapes of {Delaunay} Simplexes and Structural Analysis
                 of Hard Sphere Packings",
  crossref =     "Gavrilova:2008:GVD",
  volume =       "158",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "13--45",
  year =         "2008",
  DOI =          "http://dx.doi.org/10.1007/978-3-540-85126-4_2",
  ISBN =         "3-540-85125-9",
  ISBN-13 =      "978-3-540-85125-7",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/series/sci/sci158.html#AnikeenkoGM08;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Studies in Computational Intelligence",
  acknowledgement = ack-nhfb,
}

@Article{Birgin:2008:MOD,
  author =       "Ernesto G. Birgin and F. N. C. Sobral",
  title =        "Minimizing the object dimensions in circle and sphere
                 packing problems",
  journal =      j-COMP-OP-RES,
  volume =       "35",
  number =       "7",
  pages =        "2357--2375",
  year =         "2008",
  CODEN =        "CMORAP",
  DOI =          "http://dx.doi.org/10.1016/j.cor.2006.11.002",
  ISSN =         "0305-0548 (print), 1873-765X (electronic)",
  ISSN-L =       "0305-0548",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/cor/cor35.html#BirginS08;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Operations Research",
}

@Article{Chen:2008:DPR,
  author =       "Elizabeth R. Chen",
  title =        "A Dense Packing of Regular Tetrahedra",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "40",
  number =       "2",
  pages =        "214--240",
  month =        sep,
  year =         "2008",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-008-9101-y",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (52B10 52B55)",
  MRnumber =     "2438925 (2009g:52035)",
  MRreviewer =   "Marek Lassak",
  bibdate =      "Fri Aug 14 13:59:06 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.springerlink.com/content/f06j66h83424q440/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@InCollection{Chen:2008:SPP,
  author =       "Danny Z. Chen",
  title =        "Sphere Packing Problem",
  crossref =     "Kao:2008:EA",
  year =         "2008",
  DOI =          "http://dx.doi.org/10.1007/978-0-387-30162-4_391",
  bibdate =      "Thu Aug 13 18:08:01 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/reference/algo/algo2008.html#Chen08;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
}

@Article{Hales:2008:FP,
  author =       "Thomas C. Hales",
  title =        "Formal Proof",
  journal =      j-NAMS,
  volume =       "55",
  number =       "11",
  pages =        "1370--1380",
  month =        dec,
  year =         "2008",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  MRclass =      "03B35 (68T15)",
  MRnumber =     "2463990 (2010h:03012)",
  MRreviewer =   "Jean-Fran{\c{c}}ois Dufourd",
  bibdate =      "Wed Jan 09 07:49:58 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.ams.org/notices/200811/index.html;
                 http://www.ams.org/notices/200811/tx081101370p.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  keywords =     "FPK (Formal Proof of the Kepler Conjecture); Project
                 Flyspeck",
  remark =       "There are three other related papers in this issue on
                 Formal Proof.",
}

@Article{Harrison:2008:FPT,
  author =       "John Harrison",
  title =        "Formal proof---theory and practice",
  journal =      j-NAMS,
  volume =       "55",
  number =       "11",
  pages =        "1395--1406",
  year =         "2008",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  MRclass =      "03B35 (68T15)",
  MRnumber =     "2463992 (2010h:03013)",
  MRreviewer =   "Jean-Fran{\c{c}}ois Dufourd",
  bibdate =      "Thu May 22 15:23:56 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  keywords =     "Project Flyspeck",
}

@Article{Scardicchio:2008:EOD,
  author =       "A. Scardicchio and F. H. Stillinger and S. Torquato",
  title =        "Estimates of the optimal density of sphere packings in
                 high dimensions",
  journal =      j-J-MATH-PHYS,
  volume =       "49",
  number =       "4",
  pages =        "043301",
  month =        apr,
  year =         "2008",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.2897027",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Wed Oct 26 09:05:55 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v49/i4/p043301_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  onlinedate =   "3 April 2008",
  pagecount =    "15",
}

@InCollection{Toth:2008:CCB,
  author =       "G{\'a}bor Fejes T{\'o}th",
  booktitle =    "Number theory \& discrete geometry",
  title =        "Covering with convex bodies",
  volume =       "6",
  publisher =    "Ramanujan Mathematical Society",
  address =      "Mysore, India",
  pages =        "181--189",
  year =         "2008",
  MRclass =      "52C17",
  MRnumber =     "2454307 (2010e:52046)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Ramanujan Math. Soc. Lect. Notes Ser.",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Cohn:2009:MPT,
  author =       "Henry Cohn",
  title =        "Mathematical physics: {A} tight squeeze",
  journal =      j-NATURE,
  volume =       "460",
  number =       "7257",
  pages =        "801--802",
  day =          "13",
  month =        aug,
  year =         "2009",
  CODEN =        "NATUAS",
  DOI =          "http://dx.doi.org/10.1038/460801a",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Thu Aug 13 16:53:32 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.nature.com/nature/journal/v460/n7257/;
                 http://www.princeton.edu/main/news/archive/S25/00/22A50/;
                 http://www.nature.com/nature/journal/v460/n7257/pdf/460801a.pdf",
  abstract =     "How can identical particles be crammed together as
                 densely as possible? A combination of theory and
                 computer simulations shows how the answer to this
                 intricate problem depends on the shape of the
                 particles.",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  remark =       "Advances in packing of tetrahedra and more complex
                 solids.",
}

@InCollection{Entezari:2009:SPT,
  author =       "Alireza Entezari and Ramsay Dyer and Torsten
                 M{\"o}ller",
  booktitle =    "Mathematical foundations of scientific visualization,
                 computer graphics, and massive data exploration",
  title =        "From sphere packing to the theory of optimal lattice
                 sampling",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "227--255",
  year =         "2009",
  DOI =          "http://dx.doi.org/10.1007/b106657_12",
  MRclass =      "94A20 (52C17 65D18)",
  MRnumber =     "2560516 (2012i:94103)",
  MRreviewer =   "Jordi Marzo",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Math. Vis.",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Haji-Akbari:2009:DQC,
  author =       "Amir Haji-Akbari and Michael Engel and Aaron S. Keys
                 and Xiaoyu Zheng and Rolfe G. Petschek and Peter
                 Palffy-Muhoray and Sharon C. Glotzer",
  title =        "Disordered, quasicrystalline and crystalline phases of
                 densely packed tetrahedra",
  journal =      j-NATURE,
  volume =       "462",
  number =       "7274",
  pages =        "773--777",
  day =          "10",
  month =        dec,
  year =         "2009",
  CODEN =        "NATUAS",
  DOI =          "http://dx.doi.org/10.1038/nature08641",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Wed Jan 09 09:34:06 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.nature.com/nature/journal/v462/n7274/full/nature08641.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
}

@Article{Jiao:2009:OPS,
  author =       "Y. Jiao and F. H. Stillinger and S. Torquato",
  title =        "Optimal packings of superballs",
  journal =      j-PHYS-REV-E,
  volume =       "79",
  number =       "4",
  pages =        "041309",
  month =        "????",
  year =         "2009",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.79.041309",
  ISSN =         "1539-3755 (print), 1550-2376 (electronic)",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Aug 14 17:20:44 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRevE.79.041309",
  abstract =     "Dense hard-particle packings are intimately related to
                 the structure of low-temperature phases of matter and
                 are useful models of heterogeneous materials and
                 granular media. Most studies of the densest packings in
                 three dimensions have considered spherical shapes, and
                 it is only more recently that nonspherical shapes
                 (e.g., ellipsoids) have been investigated. Superballs
                 (whose shapes are defined by $ |x1 |^{2p} + |x2 |^{2p}
                 + |x3 |^{2p} <= 1$) provide a versatile family of
                 convex particles ($ p \geq 0.5$) with both cubic-like
                 and octahedral-like shapes as well as concave particles
                 ($ 0 < p < 0.5$) with octahedral-like shapes. In this
                 paper, we provide analytical constructions for the
                 densest known superball packings for all convex and
                 concave cases. The candidate maximally dense packings
                 are certain families of Bravais lattice packings (in
                 which each particle has 12 contacting neighbors)
                 possessing the global symmetries that are consistent
                 with certain symmetries of a superball. We also provide
                 strong evidence that our packings for convex superballs
                 ($ p >= 0.5$) are most likely the optimal ones. The
                 maximal packing density as a function of $p$ is
                 nonanalytic at the sphere point ($ p = 1$) and
                 increases dramatically as p moves away from unity. Two
                 more nontrivial nonanalytic behaviors occur at $ p_c^*
                 >= 1.150 9...$ and $ p_o^* = \ln 3 / \ln 4 = 0.792
                 4...$ for cubic and octahedral superballs,
                 respectively, where different Bravais lattice packings
                 possess the same densities. The packing characteristics
                 determined by the broken rotational symmetry of
                 superballs are similar to but richer than their
                 two-dimensional superdisk counterparts [Y. Jiao et al.,
                 Phys. Rev. Lett. 100, 245504 (2008)] and are distinctly
                 different from that of ellipsoid packings. Our
                 candidate optimal superball packings provide a starting
                 point to quantify the equilibrium phase behavior of
                 superball systems, which should deepen our
                 understanding of the statistical thermodynamics of
                 nonspherical-particle systems.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
  pagecount =    "12",
}

@Article{Kallus:2009:DPP,
  author =       "Y. Kallus and V. Elser and S. Gravel",
  title =        "Dense periodic packings of tetrahedra with small
                 repeating units",
  journal =      "{arXiv.org}",
  pages =        "??",
  day =          "27",
  month =        oct,
  year =         "2009",
  bibdate =      "Wed Jan 09 10:04:27 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "Published in \cite{Kallus:2010:DPP}.",
  URL =          "http://arxiv.org/abs/0910.5226",
  acknowledgement = ack-nhfb,
}

@Article{Obua:2009:FIB,
  author =       "Steven Obua and Tobias Nipkow",
  title =        "{Flyspeck II}: the basic linear programs",
  journal =      j-ANN-MATH-ARTIF-INTELL,
  volume =       "56",
  number =       "3-4",
  pages =        "245--272",
  year =         "2009",
  CODEN =        "AMAIEC",
  DOI =          "http://dx.doi.org/10.1007/s10472-009-9168-z",
  ISSN =         "1012-2443 (print), 1573-7470 (electronic)",
  ISSN-L =       "1012-2443",
  MRclass =      "68T15 (03B35)",
  MRnumber =     "2595204 (2011j:68135)",
  bibdate =      "Thu May 22 15:53:21 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of Mathematics and Artificial Intelligence",
  journal-URL =  "http://link.springer.com/journal/10472",
  keywords =     "Project Flyspeck",
}

@Article{Schiftner:2009:PCS,
  author =       "Alexander Schiftner and Mathias H{\"o}binger and
                 Johannes Wallner and Helmut Pottmann",
  title =        "Packing circles and spheres on surfaces",
  journal =      j-TOG,
  volume =       "28",
  number =       "5",
  pages =        "139:1--139:8",
  month =        dec,
  year =         "2009",
  CODEN =        "ATGRDF",
  DOI =          "http://doi.acm.org/10.1145/1661412.1618485",
  ISSN =         "0730-0301 (print), 1557-7368 (electronic)",
  ISSN-L =       "0730-0301",
  bibdate =      "Mon Mar 15 09:01:55 MDT 2010",
  bibsource =    "http://www.acm.org/pubs/contents/journals/tog/;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  abstract =     "Inspired by freeform designs in architecture which
                 involve circles and spheres, we introduce a new kind of
                 triangle mesh whose faces' incircles form a packing. As
                 it turns out, such meshes have a rich geometry and
                 allow us to cover surfaces with circle patterns, sphere
                 packings, approximate circle packings, hexagonal meshes
                 which carry a torsion-free support structure, hybrid
                 tri-hex meshes, and others. We show how triangle meshes
                 can be optimized so as to have the incircle packing
                 property. We explain their relation to conformal
                 geometry and implications on solvability of
                 optimization. The examples we give confirm that this
                 kind of meshes is a rich source of geometric structures
                 relevant to architectural geometry.",
  acknowledgement = ack-nhfb,
  articleno =    "139",
  fjournal =     "ACM Transactions on Graphics",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J778",
  keywords =     "architectural geometry; circle packing; computational
                 conformal geometry; computational differential
                 geometry; freeform surface; sphere packing; supporting
                 structures",
}

@Article{Torquato:2009:ACF,
  author =       "S. Torquato and Y. Jiao",
  title =        "Analytical Constructions of a Family of Dense
                 Tetrahedron Packings and the Role of Symmetry",
  journal =      "{arXiv.org}",
  pages =        "16",
  day =          "21",
  month =        dec,
  year =         "2009",
  bibdate =      "Wed Jan 09 10:02:53 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://arxiv.org/abs/0912.4210",
  acknowledgement = ack-nhfb,
}

@Article{Torquato:2009:DPPa,
  author =       "S. Torquato and Y. Jiao",
  title =        "Dense packings of the {Platonic} and {Archimedean}
                 solids",
  journal =      j-NATURE,
  volume =       "460",
  number =       "7257",
  pages =        "876--880",
  day =          "13",
  month =        aug,
  year =         "2009",
  CODEN =        "NATUAS",
  DOI =          "http://dx.doi.org/10.1038/nature08239",
  ISSN =         "0028-0836 (print), 1476-4687 (electronic)",
  ISSN-L =       "0028-0836",
  bibdate =      "Fri Aug 14 13:52:02 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.nature.com/nature/journal/v460/n7257/pdf/nature08239.pdf",
  abstract =     "Kepler's conjecture gives the densest possible packing
                 for spherical particles but, until now, there has not
                 been an analogous system for determining dense
                 polyhedral packings. Using a variety of multiparticle
                 initial configurations it has now been possible to
                 determine the densest known packings for the Platonic
                 solids and to conjecture that those of Platonic and
                 Archimedean solids with central symmetry are given by
                 their corresponding densest lattice packings.",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  xxpages =      "876--879",
}

@Article{Torquato:2009:DPPb,
  author =       "S. Torquato and Y. Jiao",
  title =        "Dense packings of polyhedra: {Platonic} and
                 {Archimedean} solids",
  journal =      j-PHYS-REV-E,
  volume =       "80",
  number =       "4",
  pages =        "041104:1--041104:21",
  year =         "2009",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.80.041104",
  ISSN =         "1539-3755 (print), 1550-2376 (electronic)",
  ISSN-L =       "1539-3755",
  MRclass =      "52C17 (82D25)",
  MRnumber =     "2607418 (2010i:52027)",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  abstract =     "Understanding the nature of dense particle packings is
                 a subject of intense research in the physical,
                 mathematical, and biological sciences. The
                 preponderance of previous work has focused on spherical
                 particles and very little is known about dense
                 polyhedral packings. We formulate the problem of
                 generating dense packings of nonoverlapping, nontiling
                 polyhedra within an adaptive fundamental cell subject
                 to periodic boundary conditions as an optimization
                 problem, which we call the adaptive shrinking cell
                 (ASC) scheme. This optimization problem is solved here
                 (using a variety of multiparticle initial
                 configurations) to find the dense packings of each of
                 the Platonic solids in three-dimensional Euclidean
                 space $ \mathbb {R}^3 $, except for the cube, which is
                 the only Platonic solid that tiles space. We find the
                 densest known packings of tetrahedra, icosahedra,
                 dodecahedra, and octahedra with densities 0.823\ldots,
                 0.836\ldots, 0.904\ldots, and 0.947\ldots,
                 respectively. It is noteworthy that the densest
                 tetrahedral packing possesses no long-range order.
                 Unlike the densest tetrahedral packing, which must not
                 be a Bravais lattice packing, the densest packings of
                 the other nontiling Platonic solids that we obtain are
                 their previously known optimal (Bravais) lattice
                 packings. We also derive a simple upper bound on the
                 maximal density of packings of congruent nonspherical
                 particles and apply it to Platonic solids, Archimedean
                 solids, superballs, and ellipsoids. Provided that what
                 we term the ``asphericity'' (ratio of the circumradius
                 to inradius) is sufficiently small, the upper bounds
                 are relatively tight and thus close to the
                 corresponding densities of the optimal lattice packings
                 of the centrally symmetric Platonic and Archimedean
                 solids. Our simulation results, rigorous upper bounds,
                 and other theoretical arguments lead us to the
                 conjecture that the densest packings of Platonic and
                 Archimedean solids with central symmetry are given by
                 their corresponding densest lattice packings. This can
                 be regarded to be the analog of Kepler's sphere
                 conjecture for these solids. The truncated tetrahedron
                 is the only non-centrally symmetric Archimedean solid,
                 the densest known packing of which is a non-lattice
                 packing with density at least as high as $ 23 / 24 =
                 0.958 ~333 ~ \ldots {} $. We discuss the validity of
                 our conjecture to packings of superballs, prisms, and
                 antiprisms as well as to high-dimensional analogs of
                 the Platonic solids. In addition, we conjecture that
                 the optimal packing of any convex, congruent polyhedron
                 without central symmetry generally is not a lattice
                 packing. Finally, we discuss the possible applications
                 and generalizations of the ASC scheme in predicting the
                 crystal structures of polyhedral nanoparticles and the
                 study of random packings of hard polyhedra.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
  keywords =     "Kepler sphere-packing conjecture",
  PACS =         "05.20.Jj; 45.70.An; 61.50.Ah",
}

@Article{vanMeel:2009:GFS,
  author =       "J. A. van Meel and D. Frenkel and P. Charbonneau",
  title =        "Geometrical frustration: a study of four-dimensional
                 hard spheres",
  journal =      j-PHYS-REV-E,
  volume =       "79",
  number =       "3",
  pages =        "030201",
  month =        mar,
  year =         "2009",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.79.030201",
  ISSN =         "1539-3755 (print), 1550-2376 (electronic)",
  ISSN-L =       "1539-3755",
  bibdate =      "Wed Feb 29 21:06:47 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRevE.79.030201",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
  numpages =     "4",
}

@Article{Agapie:2010:RPH,
  author =       "Stefan C. Agapie and Paula A. Whitlock",
  title =        "Random packing of hyperspheres and {Marsaglia}'s
                 parking lot test",
  journal =      j-MONTE-CARLO-METHODS-APPL,
  volume =       "16",
  number =       "3--4",
  pages =        "197--209",
  month =        dec,
  year =         "2010",
  CODEN =        "MCMAC6",
  DOI =          "http://dx.doi.org/10.1515/mcma.2010.019",
  ISSN =         "0929-9629 (print), 1569-3961 (electronic)",
  ISSN-L =       "0929-9629",
  MRclass =      "65C05 (65C10)",
  MRnumber =     "2747812",
  bibdate =      "Wed Feb 29 09:27:54 MST 2012",
  bibsource =    "http://www.degruyter.com/view/j/mcma.2010.16.issue-3/issue-files/mcma.2010.16.issue-3.xml;
                 http://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/mcma.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://www.degruyter.com/view/j/mcma.2010.16.issue-3-4/mcma.2010.019/mcma.2010.019.xml",
  acknowledgement = ack-nhfb,
  fjournal =     "Monte Carlo Methods and Applications",
  journal-URL =  "http://www.degruyter.com/view/j/mcma",
  keywords =     "CDC 48-bit multiplicative congruential generator {\tt
                 rannyu()}",
  remark =       "The authors investigate the connection between the
                 hypersphere packing problem and Marsaglia's parking lot
                 test \cite{Marsaglia:1985:CVR} for correlations in
                 random number generator output.",
}

@Article{Baker:2010:MMS,
  author =       "Jessica Baker and Arshad Kudrolli",
  title =        "Maximum and minimum stable random packings of
                 {Platonic} solids",
  journal =      j-PHYS-REV-E,
  volume =       "82",
  number =       "6 (part 1)",
  pages =        "061304",
  month =        dec,
  year =         "2010",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.82.061304",
  ISSN =         "1550-2376",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Jun 7 06:46:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@Article{Chen:2010:DCD,
  author =       "Elizabeth R. Chen and Michael Engel and Sharon C.
                 Glotzer",
  title =        "Dense crystalline dimer packings of regular
                 tetrahedra",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "44",
  number =       "2",
  pages =        "253--280",
  month =        sep,
  year =         "2010",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-010-9273-0",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "2671012 (2011k:52028)",
  MRreviewer =   "Peter M. Gruber",
  bibdate =      "Wed Jan 09 08:52:40 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@PhdThesis{Chen:2010:PTP,
  author =       "Elizabeth R. Chen",
  title =        "A picturebook of tetrahedral packings",
  type =         "{Ph.D.} Thesis",
  school =       "University of Michigan",
  address =      "Ann Arbor, MI. USA",
  pages =        "????",
  year =         "2010",
  bibdate =      "Wed Jan 09 08:47:42 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://hdl.handle.net/2027.42/75860;
                 http://mirlyn.lib.umich.edu/Record/008012603",
  abstract =     "We explore many different packings of regular
                 tetrahedra, with various clusters & lattices & symmetry
                 groups. We construct a dense packing of regular
                 tetrahedra, with packing density $ D > 0.7786157 $.",
  acknowledgement = ack-nhfb,
}

@Article{Cox:2010:MPC,
  author =       "S. J. Cox and E. Flikkema",
  title =        "The minimal perimeter for {$N$} confined deformable
                 bubbles of equal area",
  journal =      j-ELECT-J-COMB,
  volume =       "17",
  number =       "1",
  pages =        "23",
  year =         "2010",
  ISSN =         "1077-8926 (print), 1097-1440 (electronic)",
  ISSN-L =       "1077-8926",
  MRclass =      "05B40 (52B05 52C17 74G65)",
  MRnumber =     "2607331 (2011e:05054)",
  MRreviewer =   "Ren Ding",
  bibdate =      "Wed Jan 9 16:40:33 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "Research Paper 45.",
  URL =          "http://www.combinatorics.org/Volume_17/Abstracts/v17i1r45.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Journal of Combinatorics",
}

@Article{Hales:2010:DC,
  author =       "Thomas C. Hales and Sean McLaughlin",
  title =        "The dodecahedral conjecture",
  journal =      j-J-AM-MATH-SOC,
  volume =       "23",
  number =       "2",
  pages =        "299--344",
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1090/S0894-0347-09-00647-X",
  ISSN =         "0894-0347",
  ISSN-L =       "0894-0347",
  MRclass =      "52C17",
  MRnumber =     "2601036 (2011d:52037)",
  MRreviewer =   "Peter M. Gruber",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the American Mathematical Society",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Hales:2010:LPK,
  author =       "Thomas C. Hales",
  title =        "Linear Programs for the {Kepler} Conjecture",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "6327",
  pages =        "149--151",
  year =         "2010",
  CODEN =        "LNCSD9",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-15582-6_28",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  MRclass =      "68-99 65-99",
  bibdate =      "Sat Aug 9 15:34:18 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/lncs2010a.bib",
  URL =          "http://link.springer.com/content/pdf/10.1007/978-3-642-15582-6_28.pdf",
  ZMnumber =     "05785562",
  acknowledgement = ack-nhfb,
  book-DOI =     "http://dx.doi.org/10.1007/978-3-642-15582-6",
  book-URL =     "http://www.springerlink.com/content/978-3-642-15582-6",
  fjournal =     "Lecture Notes in Computer Science",
  keywords =     "Project Flyspeck",
}

@Article{Hales:2010:RPK,
  author =       "Thomas C. Hales and John Harrison and Sean McLaughlin
                 and Tobias Nipkow and Steven Obua and Roland
                 Zumkeller",
  title =        "A revision of the proof of the {Kepler Conjecture}",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "44",
  number =       "1",
  pages =        "1--34",
  year =         "2010",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-009-9148-4",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17 (03B35 05B40 90C05)",
  MRnumber =     "2639816 (2012h:52044)",
  MRreviewer =   "Uwe Schnell",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
  keywords =     "Kepler sphere-packing conjecture; Project Flyspeck",
}

@Article{Hopkins:2010:SCM,
  author =       "Adam B. Hopkins and Frank H. Stillinger and Salvatore
                 Torquato",
  title =        "Spherical codes, maximal local packing density, and
                 the golden ratio",
  journal =      j-J-MATH-PHYS,
  volume =       "51",
  number =       "4",
  pages =        "043302",
  month =        apr,
  year =         "2010",
  CODEN =        "JMAPAQ",
  DOI =          "http://dx.doi.org/10.1063/1.3372627",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Wed Oct 26 16:59:49 MDT 2011",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 http://www.math.utah.edu/pub/tex/bib/jmathphys2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v51/i4/p043302_s1",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://jmp.aip.org/",
  onlinedate =   "12 April 2010",
  pagecount =    "6",
}

@Article{Kallus:2010:DPP,
  author =       "Yoav Kallus and Veit Elser and Simon Gravel",
  title =        "Dense periodic packings of tetrahedra with small
                 repeating units",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "44",
  number =       "2",
  pages =        "245--252",
  month =        sep,
  year =         "2010",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-010-9254-3",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  bibdate =      "Wed Jan 09 09:41:04 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Li:2010:MPD,
  author =       "ShuiXiang Li and Jian Zhao and Peng Lu and Yu Xie",
  title =        "Maximum packing densities of basic {$3$D} objects",
  journal =      "Chinese Science Bulletin",
  volume =       "55",
  number =       "2",
  pages =        "114--119",
  month =        jan,
  year =         "2010",
  DOI =          "http://dx.doi.org/10.1007/s11434-009-0650-0",
  bibdate =      "Fri Jun 7 05:51:55 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Chinese Science Bulletin",
}

@Article{Smith:2010:AJS,
  author =       "Kyle C. Smith and Meheboob Alam and Timothy S.
                 Fisher",
  title =        "Athermal jamming of soft frictionless {Platonic}
                 solids",
  journal =      j-PHYS-REV-E,
  volume =       "82",
  number =       "5 (part 1)",
  pages =        "051304",
  month =        nov,
  year =         "2010",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.82.051304",
  ISSN =         "1550-2376",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Jun 7 06:46:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@Article{Torquato:2010:DPP,
  author =       "S. Torquato and Y. Jiao",
  title =        "Dense packings of the {Platonic} and {Archimedean}
                 solids (vol 460, pg 876, 2009)",
  journal =      j-NATURE,
  volume =       "463",
  number =       "7284",
  pages =        "??--??",
  month =        "????",
  year =         "2010",
  CODEN =        "NATUAS",
  DOI =          "http://dx.doi.org/10.1038/nature08847",
  ISSN =         "0028-0836",
  ISSN-L =       "0028-0836",
  bibdate =      "Fri Jun 7 06:46:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Nature",
  journal-URL =  "http://www.nature.com/nature/archive/",
  onlinedate =   "2010-FEB-25",
}

@Article{Torquato:2010:ECF,
  author =       "S. Torquato and Y. Jiao",
  title =        "Exact constructions of a family of dense periodic
                 packings of tetrahedra",
  journal =      j-PHYS-REV-E,
  volume =       "81",
  number =       "4 (part 1)",
  pages =        "041310",
  month =        apr,
  year =         "2010",
  CODEN =        "PLEEE8",
  DOI =          "http://dx.doi.org/10.1103/PhysRevE.81.041310",
  ISSN =         "1539-3755 (print), 1550-2376 (electronic)",
  ISSN-L =       "1539-3755",
  MRclass =      "82D25 (52C22)",
  MRnumber =     "2736208 (2012j:82052)",
  bibdate =      "Wed Jan 09 10:06:16 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@Article{Torquato:2010:JHP,
  author =       "S. Torquato and F. H. Stillinger",
  title =        "Jammed hard-particle packings: From {Kepler} to
                 {Bernal} and beyond",
  journal =      j-REV-MOD-PHYS,
  volume =       "82",
  number =       "3",
  pages =        "2633--2672",
  month =        jul,
  year =         "2010",
  CODEN =        "RMPHAT",
  DOI =          "http://dx.doi.org/10.1103/RevModPhys.82.2633",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  bibdate =      "Tue May 22 16:37:33 MDT 2012",
  bibsource =    "http://rmp.aps.org/toc/RMP/v82/i3;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/revmodphys2010.bib",
  note =         "See note \cite{Torquato:2010:PNJ}.",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.82.2633;
                 http://rmp.aps.org/abstract/RMP/v82/i3/p2633_1",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
  onlinedate =   "15 September 2010",
}

@Article{Torquato:2010:PNJ,
  author =       "S. Torquato and F. H. Stillinger",
  title =        "{Publisher}'s Note: {Jammed hard-particle packings:
                 From Kepler to Bernal and beyond [Rev. Mod. Phys. {\bf
                 82}, 2633 (2010)]}",
  journal =      j-REV-MOD-PHYS,
  volume =       "82",
  number =       "4",
  pages =        "3197--3197",
  month =        oct,
  year =         "2010",
  CODEN =        "RMPHAT",
  DOI =          "http://dx.doi.org/10.1103/RevModPhys.82.3197",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  bibdate =      "Tue May 22 16:37:34 MDT 2012",
  bibsource =    "http://rmp.aps.org/toc/RMP/v82/i4;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/revmodphys2010.bib",
  note =         "See \cite{Torquato:2010:JHP}.",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.82.3197;
                 http://rmp.aps.org/abstract/RMP/v82/i4/p3197_1",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
  onlinedate =   "20 December 2010",
}

@Article{Arkus:2011:DFS,
  author =       "Natalie Arkus and Vinothan N. Manoharan and Michael P.
                 Brenner",
  title =        "Deriving Finite Sphere Packings",
  journal =      j-SIAM-J-DISCR-MATH,
  volume =       "25",
  number =       "4",
  pages =        "1860--1901",
  month =        "????",
  year =         "2011",
  CODEN =        "SJDMEC",
  DOI =          "http://dx.doi.org/10.1137/100784424",
  ISSN =         "0895-4801 (print), 1095-7146 (electronic)",
  ISSN-L =       "0895-4801",
  bibdate =      "Thu Feb 9 07:01:44 MST 2012",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIDMA/25/4;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjdiscrmath.bib",
  URL =          "http://epubs.siam.org/sidma/resource/1/sjdmec/v25/i4/p1860_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Discrete Mathematics",
  journal-URL =  "http://epubs.siam.org/sidma",
  onlinedate =   "December 20, 2011",
}

@PhdThesis{Balou:2011:THT,
  author =       "A. Haji Akbari Balou",
  title =        "Thermodynamics of the hard tetrahedron system",
  type =         "{Ph.D.} thesis",
  school =       "University of Michigan",
  address =      "Ann Arbor, MI, USA",
  pages =        "????",
  year =         "2011",
  bibdate =      "Wed Jan 09 09:31:25 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://hdl.handle.net/2027.42/91590",
  acknowledgement = ack-nhfb,
}

@Article{Fuchs:2011:SEI,
  author =       "Elena Fuchs and Katherine Sanden",
  title =        "Some Experiments with Integral {Apollonian} Circle
                 Packings",
  journal =      j-EXP-MATH,
  volume =       "20",
  number =       "4",
  pages =        "380--399",
  month =        "????",
  year =         "2011",
  CODEN =        "????",
  DOI =          "http://dx.doi.org/10.1080/10586458.2011.565255",
  ISSN =         "1058-6458 (print), 1944-950X (electronic)",
  ISSN-L =       "1058-6458",
  bibdate =      "Mon Mar 5 15:46:22 MST 2012",
  bibsource =    "http://projecteuclid.org/euclid.em;
                 http://www.math.utah.edu/pub/tex/bib/expmath.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.tandfonline.com/toc/uexm20/20/4",
  URL =          "http://projecteuclid.org/euclid.em/1323367153",
  acknowledgement = ack-nhfb,
  fjournal =     "Experimental Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/uexm20",
  onlinedate =   "28 Nov 2011",
}

@Article{Gravel:2011:UBP,
  author =       "Simon Gravel and Veit Elser and Yoav Kallus",
  title =        "Upper bound on the packing density of regular
                 tetrahedra and octahedra",
  journal =      j-DISCRETE-COMPUT-GEOM,
  volume =       "46",
  number =       "4",
  pages =        "799--818",
  month =        dec,
  year =         "2011",
  CODEN =        "DCGEER",
  DOI =          "http://dx.doi.org/10.1007/s00454-010-9304-x",
  ISSN =         "0179-5376 (print), 1432-0444 (electronic)",
  ISSN-L =       "0179-5376",
  MRclass =      "52C17",
  MRnumber =     "2846180 (2012g:52035)",
  MRreviewer =   "W. Kuperberg",
  bibdate =      "Wed Jan 09 09:23:37 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Discrete and Computational Geometry",
  journal-URL =  "http://link.springer.com/journal/454",
}

@Article{Haji-Akbari:2011:PDH,
  author =       "Amir Haji-Akbari and Michael Engel and Sharon C.
                 Glotzer",
  title =        "Phase diagram of hard tetrahedra",
  journal =      j-J-CHEM-PHYS,
  volume =       "135",
  number =       "19",
  pages =        "194101:1--194101:10",
  day =          "15",
  month =        nov,
  year =         "2011",
  CODEN =        "JCPSA6",
  DOI =          "http://link.aip.org/link/doi/10.1063/1.3651370",
  ISSN =         "0021-9606 (print), 1089-7690 (electronic)",
  ISSN-L =       "0021-9606",
  bibdate =      "Wed Jan 09 09:32:31 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://jcp.aip.org/resource/1/jcpsa6/v135/i19/p194101_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemical Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jcp/browse",
}

@Book{Hales:2011:KC,
  author =       "Thomas Hales and Samuel Ferguson",
  title =        "The {Kepler Conjecture}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiv + 456",
  year =         "2011",
  ISBN =         "1-4614-1128-9, 1-4614-1129-7",
  ISBN-13 =      "978-1-4614-1128-4; 978-1-4614-1129-1",
  MRclass =      "52-02 (11H31 52C17)",
  MRnumber =     "3075372",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "The Hales-Ferguson proof, Including papers reprinted
                 from Discrete Comput. Geom. {{\bf{3}}6} (2006), no. 1,
                 Edited by Jeffrey C. Lagarias",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Jiao:2011:MRJ,
  author =       "Yang Jiao and Salvatore Torquato",
  title =        "Maximally random jammed packings of {Platonic} solids:
                 hyperuniform long-range correlations and isostaticity",
  journal =      j-PHYS-REV-E,
  volume =       "84",
  number =       "4 (part 1)",
  pages =        "041309",
  month =        oct,
  year =         "2011",
  CODEN =        "PLEEE8",
  ISSN =         "1550-2376",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Jun 7 06:46:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@InCollection{Lagarias:2011:KCP,
  author =       "Jeffrey C. Lagarias",
  title =        "The {Kepler Conjecture} and its proof",
  crossref =     "Lagarias:2011:KCH",
  chapter =      "1",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "3--26",
  year =         "2011",
  DOI =          "http://dx.doi.org/10.1007/978-1-4614-1129-1_1",
  MRclass =      "52C17 (11H31)",
  MRnumber =     "3050907",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Marchal:2011:SKC,
  author =       "Christian Marchal",
  title =        "Study of the {Kepler}'s conjecture: the problem of the
                 closest packing",
  journal =      j-MATH-Z,
  volume =       "267",
  number =       "3-4",
  pages =        "737--765",
  year =         "2011",
  CODEN =        "MAZEAX",
  DOI =          "http://dx.doi.org/10.1007/s00209-009-0644-2",
  ISSN =         "0025-5874",
  ISSN-L =       "0025-5874",
  MRclass =      "52C17 (05B40)",
  MRnumber =     "2776056 (2012b:52032)",
  MRreviewer =   "M{\'a}rton Nasz{\'o}di",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematische Zeitschrift",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Andreanov:2012:RPL,
  author =       "A. Andreanov and A. Scardicchio",
  title =        "Random perfect lattices and the sphere packing
                 problem",
  journal =      j-PHYS-REV-E,
  volume =       "86",
  number =       "4 (part 1)",
  pages =        "041117",
  month =        oct,
  year =         "2012",
  CODEN =        "PLEEE8",
  ISSN =         "1550-2376",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Jun 7 07:03:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@Article{Gabbrielli:2012:FTS,
  author =       "Ruggero Gabbrielli and Yang Jiao and Salvatore
                 Torquato",
  title =        "Families of tessellations of space by elementary
                 polyhedra via retessellations of face-centered-cubic
                 and related tilings",
  journal =      j-PHYS-REV-E,
  volume =       "86",
  number =       "4 (part 1)",
  pages =        "041141",
  month =        oct,
  year =         "2012",
  CODEN =        "PLEEE8",
  ISSN =         "1550-2376",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Jun 7 06:46:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@Article{Garcke:2012:KKC,
  author =       "Harald Garcke",
  title =        "{Kepler, Kristalle und Computer. Mathematik und
                 numerische Simulationen helfen Kristallwachstum zu
                 verstehen}. ({German}) [{Kepler}, crystals and
                 computer. {Mathematics} and numerical simulations help
                 crystal-growth understanding]",
  journal =      j-MDMV,
  volume =       "20",
  number =       "4",
  pages =        "219--228",
  year =         "2012",
  ISSN =         "0947-4471",
  MRclass =      "52C17 (92E10)",
  MRnumber =     "3060788",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mitteilungen der Deutschen Mathematiker-Vereinigung",
  keywords =     "Kepler sphere-packing conjecture",
  language =     "German",
}

@Book{Hales:2012:DSP,
  author =       "Thomas Callister Hales",
  title =        "Dense sphere packings: a blueprint for formal proofs",
  volume =       "400",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xiv + 271",
  year =         "2012",
  ISBN =         "0-521-61770-7 (paperback)",
  ISBN-13 =      "978-0-521-61770-3 (paperback)",
  LCCN =         "QA166.7 .H35 2012",
  bibdate =      "Mon Aug 18 08:26:33 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "London Mathematical Society lecture note series",
  abstract =     "The 400-year-old Kepler Conjecture asserts that no
                 packing of congruent balls in three dimensions can have
                 a density exceeding the familiar pyramid-shaped
                 cannonball arrangement. In this book, a new proof of
                 the conjecture is presented that makes it accessible
                 for the first time to a broad mathematical audience.
                 The book also presents solutions to other previously
                 unresolved conjectures in discrete geometry, including
                 the strong dodecahedral conjecture on the smallest
                 surface area of a Voronoi cell in a sphere packing.
                 This book is also currently being used as a blueprint
                 for a large-scale formal proof project, which aims to
                 check every logical inference of the proof of the
                 Kepler conjecture by computer. This is an indispensable
                 resource for those who want to be brought up to date
                 with research on the Kepler Conjecture",
  acknowledgement = ack-nhfb,
  subject =      "Sphere packings; Kepler's conjecture",
  tableofcontents = "1. Close packing \\
                 2. Trigonometry \\
                 3. Volume \\
                 4. Hypermap \\
                 5. Fan \\
                 6. Packing \\
                 7. Local fan \\
                 8. Tame hypermap",
}

@Article{Joswig:2012:KHB,
  author =       "Michael Joswig",
  title =        "From {Kepler} to {Hales}, and back to {Hilbert}",
  journal =      j-DOC-MATH,
  volume =       "??",
  note =         "Extra volume: Optimization stories.",
  pages =        "439--446",
  year =         "2012",
  ISSN =         "1431-0635",
  ISSN-L =       "1431-0635",
  MRclass =      "01A65 (03B35 05B40 52-03 52C17)",
  MRnumber =     "2991505",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Documenta Mathematica",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Lagarias:2012:MPR,
  author =       "Jeffrey C. Lagarias and Chuanming Zong",
  title =        "Mysteries in Packing Regular Tetrahedra",
  journal =      j-NAMS,
  volume =       "59",
  number =       "11",
  pages =        "1540--1549",
  month =        dec,
  year =         "2012",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  bibdate =      "Wed Jan 09 07:36:55 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.ams.org/notices/201211/rtx121101540p.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
  remark =       "This article gives a nice historical survey of the
                 Kepler sphere-packing problem, and its extensions to
                 packing of Platonic solids, such as tetrahedra,
                 octahedra, cubeoctahedra, and icosahedra. It also shows
                 that several early `proofs' of their packing fractions
                 were wrong, and gives pointers to recent work that is
                 more reliable.",
}

@Article{Phillips:2012:OFS,
  author =       "Carolyn L. Phillips and Joshua A. Anderson and Greg
                 Huber and Sharon C. Glotzer",
  title =        "Optimal Filling of Shapes",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "11",
  month =        feb,
  year =         "2012",
  bibdate =      "Wed May 16 15:23:31 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "arXiv:1202.2450v1",
  URL =          "http://arxiv.org/abs/1202.2450;
                 http://www.rdmag.com/News/2012/05/Life-Science-Mathematics-Nanotechnology-Twist-on-ancient-math-problem-could-improve-medicine-microelectronics/",
  abstract =     "We present filling as a type of spatial subdivision
                 problem similar to covering and packing. Filling
                 addresses the optimal placement of overlapping objects
                 lying entirely inside an arbitrary shape so as to cover
                 the most interior volume. In $n$-dimensional space, if
                 the objects are polydisperse $n$-balls, we show that
                 solutions correspond to sets of maximal n-balls. For
                 polygons, we provide a heuristic for finding solutions
                 of maximal discs. We consider the properties of ideal
                 distributions of $N$ discs as $N$ approaches infinity.
                 We note an analogy with energy landscapes.",
  acknowledgement = ack-nhfb,
  pagecount =    "5",
}

@Article{Torquato:2012:OPD,
  author =       "Salvatore Torquato and Yang Jiao",
  title =        "Organizing principles for dense packings of
                 nonspherical hard particles: not all shapes are created
                 equal",
  journal =      j-PHYS-REV-E,
  volume =       "86",
  number =       "1 (part 1)",
  pages =        "011102",
  month =        jul,
  year =         "2012",
  CODEN =        "PLEEE8",
  ISSN =         "1550-2376",
  ISSN-L =       "1539-3755",
  bibdate =      "Fri Jun 7 06:46:20 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review E (Statistical physics, plasmas,
                 fluids, and related interdisciplinary topics)",
  journal-URL =  "http://pre.aps.org/browse",
}

@InProceedings{Allamigeon:2013:CBN,
  author =       "Xavier Allamigeon and St{\'e}phane Gaubert and Victor
                 Magron and Benjamin Werner",
  title =        "Certification of bounds of non-linear functions: the
                 templates method",
  crossref =     "Carette:2013:ICM",
  pages =        "51--65",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-39320-4_4",
  MRclass =      "68Txx",
  bibdate =      "Thu May 22 16:08:58 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  ZMnumber =     "06197174",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
}

@Article{Bezdek:2013:SVK,
  author =       "K{\'a}roly Bezdek",
  title =        "On a strong version of the {Kepler Conjecture}",
  journal =      j-MATHEMATIKA,
  volume =       "59",
  number =       "1",
  pages =        "23--30",
  year =         "2013",
  CODEN =        "MTKAAB",
  DOI =          "http://dx.doi.org/10.1112/S0025579312001039",
  ISSN =         "0025-5793",
  MRclass =      "52C22 (05B40 05B45 52B60 52C17)",
  MRnumber =     "3028169",
  MRreviewer =   "Brigitte Servatius",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematika. A Journal of Pure and Applied
                 Mathematics",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Chen:2013:GCL,
  author =       "Hao Chen",
  title =        "On a generalization of {Craig} lattices",
  journal =      "J. Th\'eor. Nombres Bordeaux",
  volume =       "25",
  number =       "1",
  pages =        "59--70",
  year =         "2013",
  ISSN =         "1246-7405",
  MRclass =      "11H31 (11H71 52C07 52C17)",
  MRnumber =     "3063830",
  MRreviewer =   "Ranjeet Kaur Sehmi",
  bibdate =      "Thu May 22 16:37:35 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://jtnb.cedram.org/item?id=JTNB_2013__25_1_59_0",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal de Th\'eorie des Nombres de Bordeaux",
  keywords =     "Kepler sphere-packing conjecture",
}

@Article{Harrison:2013:HLT,
  author =       "John Harrison",
  title =        "The {HOL Light} theory of {Euclidean} space",
  journal =      j-J-AUTO-REASON,
  volume =       "50",
  number =       "2",
  pages =        "173--190",
  year =         "2013",
  CODEN =        "JAREEW",
  DOI =          "http://dx.doi.org/10.1007/s10817-012-9250-9",
  ISSN =         "0168-7433 (print), 1573-0670 (electronic)",
  ISSN-L =       "0168-7433",
  MRclass =      "03B35 (68T15)",
  MRnumber =     "3016800",
  bibdate =      "Thu May 22 15:46:54 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Automated Reasoning",
  journal-URL =  "http://link.springer.com/journal/10817",
  keywords =     "Project Flyspeck",
}

@InProceedings{Kaliszyk:2013:ARS,
  author =       "Cezary {Kaliszyk} and Josef {Urban}",
  title =        "Automated reasoning service for {HOL Light}",
  crossref =     "Carette:2013:ICM",
  pages =        "120--135",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-39320-4_8",
  MRclass =      "68Txx",
  bibdate =      "Thu May 22 16:06:05 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  ZMnumber =     "06197178",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
}

@Article{Li:2013:SCA,
  author =       "Yanheng Li and Wei Ji",
  title =        "Stability and convergence analysis of a dynamics-based
                 collective method for random sphere packing",
  journal =      j-J-COMPUT-PHYS,
  volume =       "250",
  number =       "??",
  pages =        "373--387",
  day =          "1",
  month =        oct,
  year =         "2013",
  CODEN =        "JCTPAH",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jul 8 16:59:11 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S002199911300363X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@InProceedings{Tankink:2013:FMD,
  author =       "Carst Tankink and Cezary Kaliszyk and Josef Urban and
                 Herman Geuvers",
  title =        "Formal mathematics on display: a {Wiki} for
                 {Flyspeck}",
  crossref =     "Carette:2013:ICM",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "152--167",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-39320-4_10",
  ISBN =         "3-642-39319-5 (paperback)",
  ISBN-13 =      "978-3-642-39319-8 (paperback)",
  MRclass =      "68Txx",
  bibdate =      "Thu May 22 15:56:15 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  ZMnumber =     "06197180",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
}

@Article{Zong:2013:TPD,
  author =       "Chuanming Zong",
  title =        "On the translative packing densities of tetrahedra and
                 cubooctahedra",
  journal =      "{arXiv.org}",
  pages =        "37",
  day =          "2",
  month =        aug,
  year =         "2013",
  DOI =          "",
  bibdate =      "Wed Jan 09 10:10:16 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  URL =          "http://arxiv.org/abs/1208.0420",
  abstract =     "In this paper, upper bounds for the densities of the
                 densest translative tetrahedron packings and the
                 densest translative cubooctahedron packings are
                 obtained.",
  acknowledgement = ack-nhfb,
}

@Article{Avigad:2014:FVM,
  author =       "Jeremy Avigad and John Harrison",
  title =        "Formally verified mathematics",
  journal =      j-CACM,
  volume =       "57",
  number =       "4",
  pages =        "66--75",
  month =        apr,
  year =         "2014",
  CODEN =        "CACMA2",
  DOI =          "http://dx.doi.org/10.1145/2591012",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Wed May 21 10:20:09 MDT 2014",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  abstract =     "With the help of computational proof assistants,
                 formal verification could become the new standard for
                 rigor in mathematics.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "ACL2 proof system; Boyer--Moore NQTHM theorem prover;
                 Brouwer Fixed-Point Theorem; Coq proof system; de
                 Bruijn factor; EQP theorem prover; Four Color Theorem;
                 G{\"o}del Incompleteness Theorem; HOL proof system; HOL
                 Light proof system; Isabelle proof checker; LCF proof
                 checker; Milawa proof system; Mizar proof checker;
                 Nuprl proof system; Prime Number Theorem; Project
                 Flyspeck (Formal Proof of the Kepler Conjecture);
                 Prototype Verification System (PVS) proof system;
                 SSReflect proof language; Univalent Foundations
                 Project",
}

@Article{deGoes:2014:WTG,
  author =       "Fernando de Goes and Pooran Memari and Patrick Mullen
                 and Mathieu Desbrun",
  title =        "Weighted Triangulations for Geometry Processing",
  journal =      j-TOG,
  volume =       "33",
  number =       "3",
  pages =        "28:1--28:??",
  month =        may,
  year =         "2014",
  CODEN =        "ATGRDF",
  DOI =          "http://dx.doi.org/10.1145/2602143",
  ISSN =         "0730-0301 (print), 1557-7368 (electronic)",
  ISSN-L =       "0730-0301",
  bibdate =      "Mon Jun 9 12:26:19 MDT 2014",
  bibsource =    "http://www.acm.org/pubs/contents/journals/tog/;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/tog.bib",
  abstract =     "In this article we investigate the use of weighted
                 triangulations as discrete, augmented approximations of
                 surfaces for digital geometry processing. By
                 incorporating a scalar weight per mesh vertex, we
                 introduce a new notion of discrete metric that defines
                 an orthogonal dual structure for arbitrary triangle
                 meshes and thus extends weighted Delaunay
                 triangulations to surface meshes. We also present
                 alternative characterizations of this primal-dual
                 structure (through combinations of angles, areas, and
                 lengths) and, in the process, uncover closed-form
                 expressions of mesh energies that were previously known
                 in implicit form only. Finally, we demonstrate how
                 weighted triangulations provide a faster and more
                 robust approach to a series of geometry processing
                 applications, including the generation of well-centered
                 meshes, self-supporting surfaces, and sphere packing.",
  acknowledgement = ack-nhfb,
  articleno =    "28",
  fjournal =     "ACM Transactions on Graphics",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J778",
}

@Article{Hu:2014:RKP,
  author =       "Shengda Hu and Manuele Santoprete",
  title =        "Regularization of the {Kepler} Problem on the
                 Three-sphere",
  journal =      j-CAN-J-MATH,
  volume =       "66",
  number =       "4",
  pages =        "760--??",
  month =        aug,
  year =         "2014",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2012-039-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 13 12:48:06 MDT 2014",
  bibsource =    "http://cms.math.ca/cjm/v66/n4;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  abstract =     "In this paper we regularize the Kepler problem on $
                 S^3 $ in several different ways. First, we perform a
                 Moser-type regularization. Then, we adapt the
                 Ligon-Schaaf regularization to our problem. Finally, we
                 show that the Moser regularization and the Ligon-Schaaf
                 map we obtained can be understood as the composition of
                 the corresponding maps for the Kepler problem in
                 Euclidean space and the gnomonic transformation.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{NIST:2014:CDM,
  author =       "{NIST}",
  title =        "The clumping density of many things seems to be a
                 standard",
  journal =      j-RES-DEV,
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "11",
  month =        jun,
  year =         "2014",
  CODEN =        "REDEEA",
  ISSN =         "0746-9179",
  ISSN-L =       "0746-9179",
  bibdate =      "Wed Jun 11 18:42:06 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  note =         "See research in \cite{Zangmeister:2014:PDR}",
  URL =          "http://www.rdmag.com/news/2014/06/nist-clumping-density-many-things-seems-be-standard",
  abstract =     "Particles of soot floating through the air and comets
                 hurtling through space have at least one thing in
                 common: 0.36. That, reports a research group at the
                 National Institute of Standards and Technology (NIST),
                 is the measure of how dense they will get under normal
                 conditions, and it s a value that seems to be constant
                 for similar aggregates across an impressively wide size
                 range from nanometers to tens of meters.",
  acknowledgement = ack-nhfb,
  fjournal =     "Research \& Development",
}

@Article{Zangmeister:2014:PDR,
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  author =       "Christopher D. Zangmeister and James G. Radney and
                 Lance T. Dockery and Jessica T. Young and Xiaofei Ma
                  and Rian You and Michael R. Zachariah",
  title =        "Packing density of rigid aggregates is independent of
                 scale",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2014",
  CODEN =        "PNASA6",
  DOI =          "http://dx.doi.org/10.1073/pnas.1403768111",
  ISSN =         "0027-8424 (print), 1091-6490 (electronic)",
  ISSN-L =       "0027-8424",
  URL =          "http://www.pnas.org/content/early/2014/06/04/1403768111.abstract",
  abstract =     "Large planetary seedlings, comets, microscale
                 pharmaceuticals, and nanoscale soot particles are made
                 from rigid, aggregated subunits that are compacted
                 under low compression into larger structures spanning
                 over 10 orders of magnitude in dimensional space. Here,
                 we demonstrate that the packing density ($ \theta_f$)
                 of compacted rigid aggregates is independent of spatial
                 scale for systems under weak compaction. The $
                 \theta_f$ of rigid aggregated structures across six
                 orders of magnitude were measured using nanoscale
                 spherical soot aerosol composed of aggregates with
                 17-nm monomeric subunits and aggregates made from
                 uniform monomeric 6-mm spherical subunits at the
                 macroscale. We find $ \theta_f = 0.36 \pm 0.02$ at both
                 dimensions. These values are remarkably similar to $
                 \theta_f$ observed for comet nuclei and measured values
                 of other rigid aggregated systems across a wide variety
                 of spatial and formative conditions. We present a
                 packing model that incorporates the aggregate
                 morphology and show that $ \theta_f$ is independent of
                 both monomer and aggregate size. These observations
                 suggest that the $ \theta_f$ of rigid aggregates
                 subject to weak compaction forces is independent of
                 spatial dimension across varied formative conditions.",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/tex/bib/cacm2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  eprint =       "http://www.pnas.org/content/early/2014/06/04/1403768111.full.pdf+html",
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  journal-URL =  "http://www.pnas.org/search",
}

%%% ====================================================================
%%% Cross-referenced entries must come last:

@Book{Steele:1992:PA,
  editor =       "John Michael Steele and William F. Eddy",
  title =        "Probability and Algorithms",
  publisher =    pub-NAP,
  address =      pub-NAP:adr,
  pages =        "ix + 178",
  year =         "1992",
  ISBN =         "0-309-04776-5",
  ISBN-13 =      "978-0-309-04776-0",
  LCCN =         "QA273.P7953 1992",
  bibdate =      "Wed Jan 9 18:09:54 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib;
                 jenson.stanford.edu:2210/unicorn;
                 library.mit.edu:9909/mit01",
  URL =          "http://site.ebrary.com/lib/stanford/Doc?id=10056784;
                 http://www.nap.edu/books/0309047765/html/",
  acknowledgement = ack-nhfb,
  remark =       "Panel on Probability and Algorithms, J. Michael
                 Steele, chair.. Committee on Applied and Theoretical
                 Statistics, William F. Eddy, chair.",
  subject =      "Probabilities; Algorithms; Combinatorial
                 optimization",
  tableofcontents = "1: Introduction / J. Michael Steele and David
                 Aldous \\
                 2: Simulated Annealing / Dimitris Bertsimas and John
                 Tsitsiklis \\
                 3: Approximate Counting Via Markov Chains / David
                 Aldous \\
                 4: Probabilistic Algorithms for Speedup / Joan
                 Feigenbaum and Jeffrey C. Lagarias \\
                 5: Probabilistic Algorithms for Defeating Adversaries /
                 Joan Feigenbaum \\
                 6: Pseudorandom Numbers / Jeffrey C. Lagarias \\
                 7: Probabilistic Analysis of Packing and Related
                 Partitioning Problems / E. G. Coffman, Jr., D. S.
                 Johnson, P. W. Shor and G. S. Lueker \\
                 8: Probability and Problems in Euclidean Combinatorial
                 Optimization / J. Michael Steele \\
                 9: Probabilistic Analysis in Linear Programming / Ron
                 Shamir \\
                 10: Randomization in Parallel Algorithms / Vijaya
                 Ramachandran \\
                 11: Randomly Wired Multistage Networks / Bruce M. Maggs
                 \\
                 12: Missing Pieces, Derandomization, and Concluding
                 Remarks / J. Michael Steele",
}

@Proceedings{Billard:1985:CSS,
  editor =       "L. (Lynne) Billard",
  booktitle =    "Computer science and statistics: proceedings of the
                 Sixteenth Symposium on the Interface, Atlanta, Georgia,
                 March 1984",
  title =        "Computer science and statistics: proceedings of the
                 Sixteenth Symposium on the Interface, Atlanta, Georgia,
                 March 1984",
  publisher =    pub-ELS,
  address =      pub-ELS:adr,
  pages =        "xi + 296",
  year =         "1985",
  ISBN =         "0-444-87725-8",
  ISBN-13 =      "978-0-444-87725-3",
  LCCN =         "QA276.4 .S95 1984",
  bibdate =      "Thu Dec 18 13:41:50 2003",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/prng.bib",
  acknowledgement = ack-nhfb,
  bookpages =    "xi + 296",
}

@Book{Gruber:1993:HCG,
  editor =       "Peter M. Gruber and J{\"o}rg M. Wills",
  booktitle =    "Handbook of Convex Geometry",
  title =        "Handbook of Convex Geometry",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xi + 735 (vol. A), lxvi + 739--1438 (vol. B)",
  year =         "1993",
  ISBN =         "0-444-89598-1 (set of vols. A and B), 0-444-89596-5
                 (vol. A), 0-444-89597-3 (vol. B)",
  ISBN-13 =      "978-0-444-89598-1 (set of vols. A and B),
                 978-0-444-89596-7 (vol. A), 978-0-444-89597-4 (vol.
                 B)",
  LCCN =         "QA639.5 .H36 1993",
  bibdate =      "Wed Jan 9 08:55:44 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Convex geometry",
  xxpages =      "lxvi + 735 (vol. A), lxvi + 739--1438 (vol. B)",
  xxpages =      "xlvi + 735 (vol. A), lxvi + 739--1438 (vol. B)",
  xxpages =      "xi + 1438",
}

@Book{Conway:1999:SPL,
  editor =       "John Horton Conway and N. J. A. (Neil James Alexander)
                 Sloane",
  booktitle =    "Sphere packings, lattices, and groups",
  title =        "Sphere packings, lattices, and groups",
  volume =       "290",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Third",
  pages =        "lxxiv + 703",
  year =         "1999",
  ISBN =         "0-387-98585-9 (hardcover)",
  ISBN-13 =      "978-0-387-98585-5 (hardcover)",
  LCCN =         "QA166.7 .C66 1999; QA3 .G75",
  bibdate =      "Fri Aug 14 17:15:48 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Grundlehren der mathematischen Wissenschaften",
  acknowledgement = ack-nhfb,
  remark =       "Ch. 1. Sphere Packings and Kissing Numbers / J. H.
                 Conway and N. J. A. Sloane \\
                 Ch. 2. Coverings, Lattices and Quantizers / J. H.
                 Conway and N. J. A. Sloane \\
                 Ch. 3. Codes, Designs and Groups / J. H. Conway and N.
                 J. A. Sloane \\
                 Ch. 4. Certain Important Lattices and Their Properties
                 / J. H. Conway and N. J. A. Sloane \\
                 Ch. 5. Sphere Packing and Error-Correcting Codes / J.
                 Leech and N. J. A. Sloane \\
                 Ch. 6. Laminated Lattices / J. H. Conway and N. J. A.
                 Sloane \\
                 Ch. 7. Further Connections Between Codes and Lattices /
                 N. J. A. Sloane \\
                 Ch. 8. Algebraic Constructions for Lattices / J. H.
                 Conway and N. J. A. Sloane \\
                 Ch. 9. Bounds for Codes and Sphere Packings / N. J. A.
                 Sloane \\
                 Ch. 10. Three Lectures on Exceptional Groups / J. H.
                 Conway \\
                 Ch. 11. The Golay Codes and the Mathieu Groups / J. H.
                 Conway \\
                 Ch. 12. A Characterization of the Leech Lattice / J. H.
                 Conway \\
                 Ch. 13. Bounds on Kissing Numbers / A. M. Odlyzko and
                 N. J. A. Sloane\ldots{} Ch. 14. Uniqueness of Certain
                 Spherical Codes / E. Bannai and N. J. A. Sloane \\
                 Ch. 15. On the Classification of Integral Quadratic
                 Forms / J. H. Conway and N. J. A. Sloane \\
                 Ch. 16. Enumeration of Unimodular Lattices / J. H.
                 Conway and N. J. A. Sloane \\
                 Ch. 17. The 24-Dimensional Odd Unimodular Lattices / R.
                 E. Borcherds \\
                 Ch. 18. Even Unimodular 24-Dimensional Lattices / B. B.
                 Venkov \\
                 Ch. 19. Enumeration of Extremal Self-Dual Lattices / J.
                 H. Conway, A. M. Odlyzko and N. J. A. Sloane \\
                 Ch. 20. Finding the Closest Lattice Point / J. H.
                 Conway and N. J. A. Sloane \\
                 Ch. 21. Voronoi Cells of Lattices and Quantization
                 Errors / J. H. Conway and N. J. A. Sloane \\
                 Ch. 22. A Bound for the Covering Radius of the Leech
                 Lattice / S. P. Norton \\
                 Ch. 23. The Covering Radius of the Leech Lattice / J.
                 H. Conway, R. A. Parker and N. J. A. Sloane \\
                 Ch. 24. Twenty-Three Constructions for the Leech
                 Lattice / J. H. Conway and N. J. A. Sloane\ldots{} Ch.
                 25. The Cellular Structure of the Leech Lattice / R. E.
                 Borcherds, J. H. Conway and L. Queen \\
                 Ch. 26. Lorentzian Forms for the Leech Lattice / J. H.
                 Conway and N. J. A. Sloane \\
                 Ch. 27. The Automorphism Group of the 26-Dimensional
                 Even Unimodular Lorentzian Lattice / J. H. Conway \\
                 Ch. 28. Leech Roots and Vinberg Groups / J. H. Conway
                 and N. J. A. Sloane \\
                 Ch. 29. The Monster Group and its 196884-Dimensional
                 Space / J. H. Conway \\
                 Ch. 30. A Monster Lie Algebra? / R. E. Borcherds, J. H.
                 Conway and L. Queen [et al.]",
  subject =      "combinatorial packing and covering; sphere; lattice
                 theory; finite groups",
  xxauthor =     "John Horton Conway and N. J. A. (Neil James Alexander)
                 Sloane and Eiichi Bannai and others",
}

@Proceedings{ACM:2001:PSA,
  editor =       "ACM",
  booktitle =    "{Proceedings of the seventeenth annual Symposium on
                 Computational Geometry (SCG'01): June 3--5, 2001,
                 Medford, Massachusetts, USA}",
  title =        "{Proceedings of the seventeenth annual Symposium on
                 Computational Geometry (SCG'01): June 3--5, 2001,
                 Medford, Massachusetts, USA}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "x + 334",
  year =         "2001",
  ISBN =         "1-58113-357-X",
  ISBN-13 =      "978-1-58113-357-8",
  LCCN =         "????",
  bibdate =      "Fri Jan 6 12:10:47 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 library.ox.ac.uk:210/ADVANCE",
  acknowledgement = ack-nhfb,
  remark =       "ACM order number 429010.",
  subject =      "Geometry; Data processing; Congresses",
}

@Proceedings{Amir:2001:CPM,
  editor =       "Amihood Amir and Gad M. Landau",
  booktitle =    "{Combinatorial pattern matching: 12th annual
                 symposium, CPM 2001, Jerusalem, Israel, July 1--4,
                 2001: Proceedings}",
  title =        "{Combinatorial pattern matching: 12th annual
                 symposium, CPM 2001, Jerusalem, Israel, July 1--4,
                 2001: Proceedings}",
  volume =       "2089",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 271",
  year =         "2001",
  CODEN =        "LNCSD9",
  DOI =          "????",
  ISBN =         "3-540-42271-4",
  ISBN-13 =      "978-3-540-42271-6",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "QA76.9.A43 C65 2001",
  bibdate =      "Thu Jan 17 11:49:19 MST 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       ser-LNCS # " and " # ser-LNAI,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t2089.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=2089",
  acknowledgement = ack-nhfb,
  keywords =     "combinatorial analysis --- congresses; computer
                 algorithms --- congresses",
}

@Book{Gardner:2001:CBM,
  author =       "Martin Gardner",
  booktitle =    "The colossal book of mathematics: classic puzzles,
                 paradoxes, and problems: number theory, algebra,
                 geometry, probability, topology, game theory, infinity,
                 and other topics of recreational mathematics",
  title =        "The colossal book of mathematics: classic puzzles,
                 paradoxes, and problems: number theory, algebra,
                 geometry, probability, topology, game theory, infinity,
                 and other topics of recreational mathematics",
  publisher =    pub-NORTON,
  address =      pub-NORTON:adr,
  pages =        "xi + 724",
  year =         "2001",
  ISBN =         "0-393-02023-1",
  ISBN-13 =      "978-0-393-02023-6",
  LCCN =         "QA95 .G245 2001",
  bibdate =      "Wed Jan 9 17:40:28 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  author-dates = "1914--2010",
  subject =      "Mathematical recreations",
  tableofcontents = "Preface \\
                 I. Arithmetic and algebra \\
                 1. The monkey and the coconuts \\
                 2. The calculus of finite differences \\
                 3. Palindromes : words and numbers \\
                 II. Plane geometry \\
                 4. Curves of constant width \\
                 5. Rep-tiles \\
                 6. Piet Hein's superellipse \\
                 7. Penrose tiles \\
                 8. The wonders of a planiverse \\
                 III. Solid geometry and higher dimensions \\
                 9. The helix \\
                 10. Packing spheres \\
                 11. Spheres and hyperspheres \\
                 12. The Church of the Fourth Dimension \\
                 13. Hypercubes \\
                 14. Non-Euclidean geometry \\
                 IV. Symmetry \\
                 15. Rotations and reflections \\
                 16. The amazing creations of Scott Kim \\
                 17. The art of M. C. Escher \\
                 V. Topology \\
                 18. Klein bottles and other surfaces \\
                 19. Knots \\
                 20. Doughnuts : linked and knotted \\
                 VI. Probability \\
                 21. Probability and ambiguity \\
                 22. Nontransitive dice and other paradoxes \\
                 23. More nontransitive paradoxes \\
                 VII. Infinity \\
                 24. Infinite regress \\
                 25. Aleph-null and aleph-one \\
                 26. Supertasks \\
                 27. Fractal music \\
                 28. Surreal numbers \\
                 VIII. Combinatorics \\
                 29. Hexaflexagons \\
                 30. The Soma cube \\
                 31. The game of life \\
                 32. Paper folding \\
                 33. Ramsey theory \\
                 34. Bulgarian solitaire and other seemingly endless
                 tasks \\
                 IX. Games and decision theory \\
                 35. A matchbox game-learning machine \\
                 36. Sprouts and Brussels sprouts \\
                 37. Harary's generalized ticktacktoe \\
                 38. The new Eleusis \\
                 X. Physics \\
                 39. Time travel \\
                 40. Does time ever stop? \\
                 41. Induction and probability \\
                 42. Simplicity \\
                 XI. Logic and philosophy \\
                 43. The unexpected hanging \\
                 44. Newcomb's paradox \\
                 45. Nothing \\
                 46. Everything \\
                 XII. Miscellaneous \\
                 47. Melody-making machines \\
                 48. Mathematical zoo \\
                 49. G{\"o}del, Escher, Bach \\
                 50. Six sensational discoveries \\
                 Selected titles by the author on mathematics \\
                 Index",
}

@Book{March:2002:ILS,
  author =       "Norman H. (Norman Henry) March and M. P. Tosi",
  booktitle =    "Introduction to Liquid State Physics",
  title =        "Introduction to Liquid State Physics",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xvii + 431",
  year =         "2002",
  ISBN =         "981-02-4652-8 (paperback), 981-02-4639-0,
                 981-277-848-9 (e-book)",
  ISBN-13 =      "978-981-277-848-2 (e-book), 978-981-02-4652-5
                 (paperback), 978-981-02-4639-6",
  LCCN =         "QC145.2 .M42 2002eb",
  bibdate =      "Tue May 28 14:24:20 MDT 2013",
  bibsource =    "aubrey.tamu.edu:7090/voyager;
                 catalog.princeton.edu:7090/voyager;
                 clas.caltech.edu:210/INNOPAC;
                 fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/bibnet/authors/m/march-norman-h.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 jenson.stanford.edu:2210/unicorn;
                 prodorbis.library.yale.edu:7090/voyager",
  URL =          "http://site.ebrary.com/lib/princeton/Doc?id=10201245;
                 http://site.ebrary.com/lib/yale/Doc?id=10201245;
                 http://www.worldscientific.com/worldscibooks/10.1142/4717",
  acknowledgement = ack-nhfb,
  subject =      "Liquids; Thermodynamics; Statistical mechanics;
                 SCIENCE; Physics; General;Mechanics; Energy",
}

@Proceedings{McKay:2002:AAA,
  editor =       "Bob McKay and J. K. Slaney",
  booktitle =    "{AI 2002}: advances in artificial intelligence: 15th
                 Australian Joint Conference on Artificial Intelligence,
                 Canberra, Australia, December 2--6, 2002: Proceedings",
  title =        "{AI 2002}: advances in artificial intelligence: 15th
                 Australian Joint Conference on Artificial Intelligence,
                 Canberra, Australia, December 2--6, 2002: Proceedings",
  volume =       "2557",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xv + 730",
  year =         "2002",
  CODEN =        "LNCSD9",
  DOI =          "????",
  ISBN =         "3-540-00197-2 (paperback)",
  ISBN-13 =      "978-3-540-00197-3 (paperback)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "Q334 .A97 2002",
  bibdate =      "Thu Nov 11 19:26:30 MST 2004",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       ser-LNAI # " and " # ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t2557.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=2557",
  acknowledgement = ack-nhfb,
  keywords =     "artificial intelligence --- congresses",
}

@Proceedings{Sloot:2002:CSIc,
  editor =       "P. M. A. Sloot and C. J. Kenneth Tan and J. J.
                 Dongarra and A. G. Hoekstra",
  booktitle =    "Computational Science--ICCS 2002: International
                 Conference, Amsterdam, The Netherlands, April 21--24,
                 2002. Proceedings, Part III",
  title =        "Computational Science--{ICCS 2002}: International
                 Conference, Amsterdam, The Netherlands, April 21--24,
                 2002. Proceedings, Part {III}",
  volume =       "2331",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xli + 1227",
  year =         "2002",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-43594-8 (paperback)",
  ISBN-13 =      "978-3-540-43594-5 (paperback)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "QA75.5 .I13 2002",
  bibdate =      "Thu Nov 11 19:26:30 MST 2004",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t2331.htm",
  acknowledgement = ack-nhfb,
}

@Proceedings{Slind:2004:TPH,
  editor =       "Konrad Slind and Annette Bunker and Ganesh
                 Gopalakrishnan",
  booktitle =    "{Theorem proving in higher order logics: 17th
                 international conference, TPHOLs 2004, Park City, Utah,
                 USA, September 14--17, 2004: proceedings}",
  title =        "{Theorem proving in higher order logics: 17th
                 international conference, TPHOLs 2004, Park City, Utah,
                 USA, September 14--17, 2004: proceedings}",
  volume =       "3223",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 336",
  year =         "2004",
  DOI =          "http://dx.doi.org/10.1007/b100400",
  ISBN =         "3-540-23017-3 (paperback)",
  ISBN-13 =      "978-3-540-23017-5 (paperback)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "QA76.9.A96 T655 2004",
  MRclass =      "68-06 (03B15 03B35 68T15)",
  MRnumber =     "2142103 (2005m:68012)",
  bibdate =      "Thu Aug 13 17:35:01 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Lecture notes in computer science",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0823/2004111288-d.html;
                 http://www.loc.gov/catdir/summary/eng0801/2004111288.html;
                 http://www.loc.gov/catdir/toc/fy0716/2004111288.html;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=3223",
  acknowledgement = ack-nhfb,
  meetingname =  "TPHOLs 2004 (2004 : Park City, Utah)",
  subject =      "Automatic theorem proving; Congresses",
}

@Proceedings{Hurd:2005:TPH,
  editor =       "Joe Hurd and T. F. (Tom F.) Melham",
  booktitle =    "{Theorem proving in higher order logics: 18th
                 international conference, TPHOLs 2005, Oxford, UK,
                 August 22--25, 2005: proceedings}",
  title =        "{Theorem proving in higher order logics: 18th
                 international conference, TPHOLs 2005, Oxford, UK,
                 August 22--25, 2005: proceedings}",
  volume =       "3603",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 408",
  year =         "2005",
  ISBN =         "3-540-28372-2 (paperback)",
  ISBN-13 =      "978-3-540-28372-0 (paperback)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "QA76.9.A96 T655 2005",
  bibdate =      "Thu May 22 16:23:45 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Lecture notes in computer science",
  URL =          "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0302-9743&volume=3603;
                 http://www.loc.gov/catdir/enhancements/fy0663/2005930490-d.html;
                 http://www.loc.gov/catdir/toc/fy0612/2005930490.html",
  acknowledgement = ack-nhfb,
  meetingname =  "TPHOLs 2005 (2005 : Oxford, England)",
  subject =      "Automatic theorem proving; Congresses",
}

@Proceedings{Botana:2007:ADG,
  editor =       "Francisco Botana and Tomas Recio",
  booktitle =    "{Automated deduction in geometry: 6th international
                 workshop, ADG 2006, Pontevedra, Spain, August
                 31--September 2, 2006. revised papers}",
  title =        "{Automated deduction in geometry: 6th international
                 workshop, ADG 2006, Pontevedra, Spain, August
                 31--September 2, 2006. revised papers}",
  volume =       "4869",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 211",
  year =         "2007",
  DOI =          "http://dx.doi.org/10.1007/978-3-540-77356-6",
  ISBN =         "3-540-77355-X (softcover)",
  ISBN-13 =      "978-3-540-77355-9 (softcover)",
  LCCN =         "QA448.D38 I577 2006",
  MRclass =      "68-06 (03B35 51-06 68T15 68U05)",
  MRnumber =     "2866844 (2012h:68002)",
  bibdate =      "Thu May 22 15:42:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/lncs2007a.bib",
  note =         "Revised papers from the 6th International Workshop
                 (ADG 2006) held at the University of Vigo, Pontevedra,
                 August 31--September 2, 2006",
  series =       "Lecture Notes in Computer Science",
  abstract =     "This book constitutes the thoroughly refereed
                 post-proceedings of the 6th International Workshop on
                 Automated Deduction in Geometry, ADG 2006, held at
                 Pontevedra, Spain, in August/September 2006 as a
                 satellite event of the International Congress of
                 Mathematicians, ICM 2006. The 13 revised full papers
                 presented were carefully selected from the submissions
                 made due to a call for papers - within the scope of ADG
                 shortly after the meeting. The papers show the lively
                 variety of topics and methods and the current
                 applicability of automated deduction in geometry to
                 different branches of mathematics and to other sciences
                 and technologies.",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
}

@Proceedings{Furbach:2007:ART,
  editor =       "Ulrich Furbach and Natarajan Shankar",
  booktitle =    "{Automated Reasoning: Third International Joint
                 Conference, IJCAR 2006, Seattle, WA, USA, August
                 17--20, 2006: Proceedings}",
  title =        "{Automated Reasoning: Third International Joint
                 Conference, IJCAR 2006, Seattle, WA, USA, August
                 17--20, 2006: Proceedings}",
  volume =       "4130",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xv + 680",
  year =         "2007",
  ISBN =         "3-540-37187-7 (paperback), 3-540-37188-5 (e-book)",
  ISBN-13 =      "978-3-540-37187-8 (paperback), 978-3-540-37188-5
                 (e-book)",
  LCCN =         "QA76.9.A96 I33 2006",
  bibdate =      "Thu May 22 15:32:05 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/lncs2007a.bib",
  series =       "Lecture Notes in Computer Science Ser.",
  URL =          "http://WX7CF7ZP2H.search.serialssolutions.com/?V=1.0&L=WX7CF7ZP2H&S=JCs&C=TC",
  abstract =     "Here are the proceedings of the Third International
                 Joint Conference on Automated Reasoning, IJCAR 2006,
                 held in Seattle, Washington, USA, August 2006. The book
                 presents 41 revised full research papers and 8 revised
                 system descriptions, with 3 invited papers and a
                 summary of a systems competition. The papers are
                 organized in topical sections on proofs, search,
                 higher-order logic, proof theory, proof checking,
                 combination, decision procedures, CASC-J3, rewriting,
                 and description logic.",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
  subject =      "Automatic theorem proving; Artificial intelligence",
}

@Proceedings{IEEE:2007:ISV,
  editor =       "IEEE",
  booktitle =    "{4th International Symposium on Voronoi Diagrams in
                 Science and Engineering (ISVD 2007): School of
                 Computing, University of Glamorgan, Pontypprid, Wales,
                 UK}",
  title =        "{4th International Symposium on Voronoi Diagrams in
                 Science and Engineering (ISVD 2007): School of
                 Computing, University of Glamorgan, Pontypprid, Wales,
                 UK}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "????",
  year =         "2007",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Thu Aug 13 18:49:38 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Stutzle:2007:ESL,
  editor =       "Thomas St{\"u}tzle and Mauro Birattari and Holger H.
                 Hoos",
  booktitle =    "{Engineering Stochastic Local Search Algorithms.
                 Designing, Implementing and Analyzing Effective
                 Heuristics, International Workshop, SLS 2007, Brussels,
                 Belgium, September 6--8, 2007, Proceedings}",
  title =        "{Engineering Stochastic Local Search Algorithms.
                 Designing, Implementing and Analyzing Effective
                 Heuristics, International Workshop, SLS 2007, Brussels,
                 Belgium, September 6--8, 2007, Proceedings}",
  volume =       "4638",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  year =         "2007",
  ISBN =         "3-540-74445-2",
  ISBN-13 =      "978-3-540-74445-0",
  bibdate =      "Thu Aug 13 18:38:32 2009",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/conf/sls/sls2007.html;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
}

@Book{Gavrilova:2008:GVD,
  editor =       "Marina L. Gavrilova",
  booktitle =    "Generalized {Voronoi} diagram: a geometry-based
                 approach to computational intelligence",
  title =        "Generalized {Voronoi} diagram: a geometry-based
                 approach to computational intelligence",
  volume =       "158",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xxi + 312",
  year =         "2008",
  DOI =          "http://dx.doi.org/10.1007/978-3-540-85126-4",
  ISBN =         "3-540-85126-7, 3-540-85125-9",
  ISBN-13 =      "978-3-540-85126-4, 978-3-540-85125-7",
  ISSN =         "1860-949X",
  LCCN =         "QA278.2 .G46 2008ebeb; QA278.2 .G46 2008eb; QA278.2;
                 QA278.2 .G46 2008",
  bibdate =      "Thu Aug 13 18:45:14 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Studies in computational intelligence",
  acknowledgement = ack-nhfb,
  subject =      "Voronoi polygons; Computational intelligence",
}

@Book{Kao:2008:EA,
  editor =       "Ming-Yang Kao",
  booktitle =    "Encyclopedia of algorithms",
  title =        "Encyclopedia of algorithms",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "liii + 1166",
  year =         "2008",
  DOI =          "http://dx.doi.org/10.1007/978-0-387-30162-4",
  ISBN =         "0-387-30162-3, 0-387-30770-2",
  ISBN-13 =      "978-0-387-30162-4, 978-0-387-30770-1",
  LCCN =         "QA9.58 .E52 2007eb; QA9.58 .E52 2007ebeb; QA9.58;
                 QA9.58 .E52 2007",
  bibdate =      "Thu Aug 13 18:40:37 MDT 2009",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Springer reference",
  acknowledgement = ack-nhfb,
  subject =      "Computer algorithms; Encyclopedias; Algorithms",
}

@Proceedings{Fukuda:2010:MSI,
  editor =       "Komei Fukuda and Joris {Van der Hoeven} and Michael
                 Joswig and Nobuki Takayama",
  booktitle =    "{Mathematical Software --- ICMS 2010: Third
                 International Congress on Mathematical Software, Kobe,
                 Japan, September 13--17, 2010, Proceedings}",
  title =        "{Mathematical Software --- ICMS 2010: Third
                 International Congress on Mathematical Software, Kobe,
                 Japan, September 13--17, 2010, Proceedings}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 368",
  year =         "2010",
  ISBN =         "3-642-15581-2 (paperback)",
  ISBN-13 =      "978-3-642-15581-9 (paperback)",
  LCCN =         "QA76.95 .I5654 2010",
  bibdate =      "Thu May 22 16:13:39 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib",
  series =       "Lecture Notes in Computer Science / Theoretical
                 Computer Science and General Issues Ser.",
  URL =          "http://link.springer.com/openurl?genre=book&isbn=978-3-642-15581-9",
  abstract =     "This book constitutes the refereed proceedings of the
                 Third International Congress on Mathematical Software,
                 ICMS 2010, held in Kobe, Japan in September 2010. The
                 49 revised full papers presented were carefully
                 reviewed and selected for presentation. The papers are
                 organized in topical sections on computational group
                 theory, computation of special functions, computer
                 algebra and reliable computing, computer tools for
                 mathematical editing and scientific visualization,
                 exact numeric computation for algebraic and geometric
                 computation, formal proof, geometry and visualization,
                 Groebner bases and applications, number theoretical
                 software as well as software for optimization and
                 polyhedral computation.",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
  meetingname =  "International Congress of Mathematical Software (3rd :
                 2010 : K{\=o}be-shi, Japan)",
  subject =      "Mathematics; Data processing; Congresses; Computer
                 software; Computer software.; Data processing.",
}

@Book{Lagarias:2011:KCH,
  editor =       "Jeffrey C. Lagarias",
  booktitle =    "The {Kepler Conjecture}: the {Hales--Ferguson} proof
                 by {Thomas C. Hales} and {Samuel P. Ferguson}",
  title =        "The {Kepler Conjecture}: the {Hales--Ferguson} proof
                 by {Thomas C. Hales} and {Samuel P. Ferguson}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiv + 456",
  year =         "2011",
  ISBN =         "1-4614-1128-9 (paperback), 1-4614-1129-7 (e-book)",
  ISBN-13 =      "978-1-4614-1128-4 (paperback), 978-1-4614-1129-1
                 (e-book)",
  LCCN =         "QA166.7 .K47 2011",
  bibdate =      "Wed Jan 9 08:09:14 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  keywords =     "Samuel P. Ferguson; Thomas C. Hales",
  remark =       "Includes a special issue of \booktitle{Discrete and
                 Computational Geometry}.",
  subject =      "Kepler's conjecture",
  tableofcontents = "Part 1. Introduction and survey \\
                 Chapter 1. The Kepler Conjecture and Its Proof / J. C.
                 Lagarias / 3--26 \\
                 Chapter 2. Bounds for Local Density of Sphere Packings
                 and the Kepler Conjecture / J. C. Lagarias / 27--61 \\
                 Part 2. Proof of the Kepler Conjecture \\
                 Chapter 3. Historical Overview of the Kepler Conjecture
                 / T. C. Hales / 65--82 \\
                 Chapter 4. A Formulation of the Kepler Conjecture / T.
                 C. Hales and S. P. Ferguson / 83--134 \\
                 Chapter 5. Sphere Packings III. Extremal Cases / T. C.
                 Hales / 135--173 \\
                 Chapter 6. Sphere Packings IV. Detailed Bounds / T. C.
                 Hales / 177--234 \\
                 Chapter 7. Sphere Packings V. Pentahedral Prisms / S.
                 P. Ferguson / 235--274 \\
                 Chapter 8. Sphere Packings VI. Tame Graphs and Linear
                 Programs / T. C. Hales / 275--340 \\
                 Part 3. A revision to the proof of the Kepler
                 conjecture \\
                 Chapter 9. A Revision of the Proof of the Kepler
                 Conjecture / T. C. Hales, J. Harrison, S. McLaughlin,
                 T. Nipkow, S. Obua; R. Zumkeller / 341--378 \\
                 Part 4. Initial papers of the Hales program \\
                 Chapter 10. Sphere Packings I / T. C. Hales / 379--432
                 \\
                 Chapter 11. Sphere Packings II / T. C. Hales / 433--450
                 \\
                 Index of Symbols / 451--452 Index of Subject /
                 453--456",
}

@Proceedings{Carette:2013:ICM,
  editor =       "Jacques Carette and David Aspinall and Christoph Lange
                 and Petr Sojka and Wolfgang Windsteiger",
  booktitle =    "{Intelligent computer mathematics: MKM, Calculemus,
                 DML, and Systems and Projects 2013, held as part of
                 CICM 2013, Bath, UK, July 8--12, 2013. Proceedings}",
  title =        "{Intelligent computer mathematics: MKM, Calculemus,
                 DML, and Systems and Projects 2013, held as part of
                 CICM 2013, Bath, UK, July 8--12, 2013. Proceedings}",
  volume =       "7961",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xv + 384",
  year =         "2013",
  DOI =          "http://dx.doi.org/10.1007/978-3-642-39320-4",
  ISBN =         "3-642-39319-5 (paperback), 3-642-39320-9 (e-book)",
  ISBN-13 =      "978-3-642-39319-8 (paperback), 978-3-642-39320-4
                 (e-book)",
  LCCN =         "QA76.9.M35 I58 2013",
  bibdate =      "Thu May 22 15:57:56 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/kepler.bib;
                 http://www.math.utah.edu/pub/tex/bib/lncs2013a.bib",
  series =       "Lecture notes in computer science",
  acknowledgement = ack-nhfb,
  keywords =     "Project Flyspeck",
  subject =      "Informatique; Math{\'e}matiques; Congr{\`e}s;
                 Intelligence artificielle; Computer science; Algebra;
                 Data processing; Information storage and retrieval
                 systems; Artificial intelligence; Text processing
                 (Computer science)",
  tableofcontents = "Calculemus: The rooster and the butterflies / Assia
                 Mahboubi \\
                 Optimising Problem Formulation for Cylindrical
                 Algebraic Decomposition / Russell Bradford, James H.
                 Davenport, Matthew England, and David Wilson \\
                 The Formalization of Syntax-Based Mathematical
                 Algorithms Using Quotation and Evaluation / William M.
                 Farmer \\
                 Certification of bounds of non-linear functions: the
                 templates method / Xavier Allamigeon, St{\'e}phane
                 Gaubert, Victor Magron, and Benjamin Werner \\
                 Verifying a Platform for Digital Imaging: A Multi-tool
                 Strategy / Jonathan Heras, Gadea Mata, Ana Romero,
                 Julio Rubio, and Rub{\'e}n S{\'a}enz \\
                 A Universal Machine for Biform Theory Graphs / Michael
                 Kohlhase, Felix Manse and Florian Rabe \\
                 MKM: Mathematical Practice, Crowdsourcing, and Social
                 Machines / Ursula Martin and Alison Pease \\
                 Automated Reasoning Service for HOL Light / Cezary
                 Kaliszyk and Josef Urban \\
                 Understanding Branch Cuts of Expressions / Matthew
                 England, Russell Bradford, James H. Davenport, and
                 David Wilson \\
                 Formal Mathematics on Display: A Wiki for Flyspeck /
                 Carst Tankink, Cezary Kaliszyk, Josef Urban, and Herman
                 Geuvers \\
                 Determining Points on Handwritten Mathematical Symbols
                 / Rui Hu and Stephen M. Watt \\
                 Capturing Hiproofs in HOL Light / Steven Obua, Mark
                 Adams, and David Aspinall \\
                 A Qualitative Comparison of the Suitability of Four
                 Theorem Provers for Basic Auction Theory / Christoph
                 Lange, Marco B. Caminati, Manfred Kerber, Till
                 Mossakowski, Colin Rowat, Makarius Wenzel, and Wolfgang
                 Windsteiger \\
                 Students' Comparison of Their Trigonometric Answers
                 with the Answers of a Computer Algebra System / Eno
                 Tonisson \\
                 DML: Mathematics and the World Wide Web / Patrick D.F.
                 Ion \\
                 Structural Similarity Search for Mathematics Retrieval
                 / Shahab Kamali and Frank Wm. Tompa \\
                 Towards Machine-Actionable Modules of a Digital
                 Mathematics Library: The Example of DML-CZ / Michal
                 R{\^e}u\?zi\?cka, Petr Sojka, and Vlastimil Krej\?c\c
                 \?r \\
                 A Hybrid Approach for Semantic Enrichment of MathML
                 Mathematical Expressions / Minh-Quoc Nghiem, Giovanni
                 Yoko Kristianto, Goran Topi{\'c}, and Akiko Aizawa \\
                 Three Years of DLMF: Web, Math and Search / Bruce R.
                 Miller \\
                 Escaping the Trap of Too Precise Topic Queries / Paul
                 Libbrecht \\
                 Using MathML to Represent Units of Measurement for
                 Improved Ontology Alignment / Chau Do and Eric J.
                 Pauwels \\
                 Systems and projects: A Web Interface for Isabelle: The
                 Next Generation / Christoph L{\"u}th and Martin Ring
                 \\
                 The ForMaRE Project--Formal Mathematical Reasoning in
                 Economics / Christoph Lange, Colin Rowat, and Manfred
                 Kerber \\
                 LATExml 2012--A Year of LATExml / Deyan Ginev and Bruce
                 R. Miller \\
                 The MMT API: A Generic MKM System / Florian Rabe \\
                 Math-Net.Ru as a Digital Archive of the Russian
                 Mathematical Knowledge from the XIX Century to Today /
                 Dmitry E. Chebukov, Alexander D. Izaak, Olga G.
                 Misyurina, Yuri A. Pupyrev, and Alexey B. Zhizhchenko
                 \\
                 A Dynamic Symbolic Geometry Environment Based on the
                 Gr{\"o}bnerCover Algorithm for the Computation of
                 Geometric Loci and Envelopes / Miguel A. Ab{\'a}nades
                 and Francisco Botana \\
                 ML4PG in computer algebra verification / J{\'o}nathan
                 Heras and Ekaterina Komendantskaya \\
                 Pervasive Parallelism in Highly-Trustable Interactive
                 Theorem Proving Systems / Bruno Barras, Lourdes del
                 Carmen Gonz{\'a}lez Huesca, Hugo Herbelin, Yann
                 R{\'e}gis-Gianas, Enrico Tassi, Makarius Wenzel, and
                 Burkhart Wolff \\
                 The Web geometry laboratory project / Pedro Quaresma,
                 Vanda Santos, and Seifeddine Bouallegue \\
                 swMATH--A New Information Service for Mathematical
                 Software / Sebastian B{\"o}bisch, Michael Brickenstein,
                 Hagen Chrapary, Gert-Martin Greuel, and Wolfram Sperber
                 \\
                 Software for evaluating relevance of steps in algebraic
                 transformations / Rein Prank \\
                 The DeLiverMATH project: text analysis in mathematics /
                 Ulf Sch{\"o}nberg and Wolfram Sperber",
  xxseries =     "Lecture notes in artificial intelligence; LNCS
                 sublibrary. SL 7, Artificial intelligence",
}