The Translative Kissing Number of Tetrahedra Is 18

被引：0
|
作者：
I. Talata
机构：
[1] Department of Mathematics,
[2] Auburn University,undefined
[3] 218 Parker Hall,undefined
[4] Auburn,undefined
[5] AL 36849-5310,undefined
[6] USA talatis@mail.auburn.edu,undefined
来源：
Discrete & Computational Geometry | 1999年 / 22卷
关键词：
Maximum Density; Translative Packing; Nonoverlapping Translate;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that the maximum number of mutually nonoverlapping translates of any tetrahedron T which touch T is 18. Moreover, in the case of 18 touching translates the arrangement turns out to be unique. We also give a description of all possible arrangements of 17 touching translates. Finally, we apply these results to determine the minimum and maximum densities of 17+ -neighbor translative packings of tetrahedra.
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页码：231 / 248
页数：17
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