MAXIMUM DENSITY SPACE PACKING WITH PARALLEL STRINGS OF SPHERES

被引：2

作者：

BEZDEK, A ^{[1
]}

KUPERBERG, W ^{[1
]}

MAKAI, E ^{[1
]}

机构：

[1] HUNGARIAN ACAD SCI, MATH RES INST, H-1035 BUDAPEST, HUNGARY

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1991年 / 6卷 / 03期

关键词：

D O I：

10.1007/BF02574689

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A string of spheres is a sequence of nonoverlapping unit spheres in R3 whose centers are collinear and such that each sphere is tangent to exactly two other spheres. We prove that if a packing with spheres in R3 consists of parallel translates of a string of spheres, then the density of the packing is smaller than or equal to pi/ square-root 18. This density is attained in the well-known densest lattice sphere packing. A long-standing conjecture is that this density is maximum among all sphere packings in space, to which our proof can be considered a partial result.

引用

页码：277 / 283

页数：7

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