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?
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页码：81 / 89
页数：9
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