Sphere packings .2.

被引：37

作者：

Hales, TC

机构：

[1] Department of Mathematics, University of Michigan, Ann Arbor

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1997年 / 18卷 / 02期

关键词：

Early Paper; Sphere Packing; Regular Tetrahedron; Regular Octahedron; Kepler Conjecture;

D O I：

10.1007/PL00009312

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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).

引用

页码：135 / 149

页数：15

共 7 条

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