Regular sphere packings

被引：2

作者：

Harborth, H ^{[1
]}

Szabó, L

Ujváry-Menyhárt, Z

机构：

[1] Tech Univ Braunschweig, Diskrete Math, D-38023 Braunschweig, Germany

[2] Eotvos Lorand Univ, Dept Geometry, H-1053 Budapest, Hungary

[3] Hungarian Acad Sci, Comp & Automat Res Inst, H-1111 Budapest, Hungary

来源：

ARCHIV DER MATHEMATIK | 2002年 / 78卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

Natural Number; Boundary Point; Sphere Packing; Regular Sphere; Congruent Sphere;

D O I：

10.1007/s00013-002-8219-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A collection of non-overlapping spheres in the space is called a packing. Two spheres are said to be neighbours if they have a boundary point in common. A packing is called k-regular if each sphere has exactly k neighbours. We are concerned with the following question. What is the minimum number of not necessarily congruent spheres which may form a k-regular packing? In general, for which natural numbers n and k does there exist a connected k-regular packing of exactly n spheres?

引用

页码：81 / 89

页数：9

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