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arXiv:math/9811074 [math.MG]AbstractReferencesReviewsResources

Sphere packings II

Thomas C. Hales

Published 1998-11-11Version 1

An earlier paper describes a program to prove the Kepler conjecture on sphere packings. This paper carries out the second step of that program. A sphere packing leads to a decomposition of $R^3$ into polyhedra. The polyhedra are divided into two classes. The first class of polyhedra, called quasi-regular tetrahedra, have density at most that of a regular tetrahedron. The polyhedra in the remaining class have density at most that of a regular octahedron (about 0.7209).

Comments: 18 pages. Second of two older papers in the series on the proof of the Kepler conjecture. See math.MG/9811071. The original abstract is preserved
Journal: Discrete Comput. Geom. 18 (1997), 135-149
Categories: math.MG
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