THE SPHERE PACKING PROBLEM

被引：60

作者：

HALES, TC ^{[1
]}

机构：

[1] UNIV CHICAGO,DEPT MATH,CHICAGO,IL 60637

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 44卷 / 01期

关键词：

SPHERE PACKING; DELAUNAY TRIANGULATION; PACKING AND COVERING; SPHERICAL GEOMETRY; HILBERT PROBLEMS; VORONOI CELLS;

D O I：

10.1016/0377-0427(92)90052-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The sphere packing problem asks whether any packing of spheres of equal radius in three dimensions has density exceeding that of the face-centered-cubic lattice packing (of density pi/square-root 18). This paper sketches a solution to this problem.

引用

页码：41 / 76

页数：36