ON THE SPHERE PACKING PROBLEM AND THE PROOF OF KEPLER'S CONJECTURE

Abstract

International Journal of MathematicsVol. 04, No. 05, pp. 739-831 (1993) No AccessON THE SPHERE PACKING PROBLEM AND THE PROOF OF KEPLER'S CONJECTUREWU-YI HSIANGWU-YI HSIANGDepartment of Mathematics, University of California, Berkeley, CA 94720, USAhttps://doi.org/10.1142/S0129167X93000364Cited by:35 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Research partially supported by NSF Grant.Some improvements of the proofs were obtained during my visits at IHES in October of 1991 and at the Mathematics Institute of Geneva University in June of 1992. 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Meyer-Hermann3 February 2010 | Mathematical Modelling of Natural Phenomena, Vol. 5, No. 1Lattices and packings in higher dimensionsMarcel Berger5 February 2010Sphere packings revisitedKároly Bezdek1 Aug 2006 | European Journal of Combinatorics, Vol. 27, No. 6Geometrical learning, descriptive geometry, and biomimetic pattern recognitionWang Shoujue and Lai Jiangliang1 Aug 2005 | Neurocomputing, Vol. 67Orbits of Orbs: Sphere Packing Meets Penrose TilingsCharles Radin1 February 2018 | The American Mathematical Monthly, Vol. 111, No. 2Does the proof stack up?George Szpiro1 Jul 2003 | Nature, Vol. 424, No. 6944Kugeln im Computer — Die Kepler-VermutungMartin Henk and Günter M. Ziegler1 Jan 2002Continuous Covering Location ProblemsFrank Plastria1 Jan 2002Remarks on sphere packings, clusters and Hales Ferguson theoremJean-Louis Verger-Gaugry1 January 2001 | Séminaire de théorie spectrale et géométrie, Vol. 19Kugeln im Computer — Die Kepler-VermutungMartin Henk and Günter M. 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Conway1 October 1995 | Discrete & Computational Geometry, Vol. 14, No. 3What are all the best sphere packings in low dimensions?J. H. Conway and N. J. A. Sloane1 June 1995 | Discrete & Computational Geometry, Vol. 13, No. 3-4Sphere packings with three contacts per sphere and the problem of the least dense sphere packingE. Koch and W. Fischer28 July 2010 | Zeitschrift für Kristallographie - Crystalline Materials, Vol. 210, No. 6The status of the kepler conjectureThomas C. Hales9 January 2009 | The Mathematical Intelligencer, Vol. 16, No. 3 Recommended Vol. 04, No. 05 Metrics History Received 17 November 1992 Revised 9 March 1993 PDF download