NEW BOUNDS ON THE NUMBER OF UNIT SPHERES THAT CAN TOUCH A UNIT SPHERE IN N-DIMENSIONS

被引:94
作者
ODLYZKO, AM
SLOANE, NJA
机构
[1] Bell Laboratories, Murray Hill
关键词
D O I
10.1016/0097-3165(79)90074-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
New upper bounds are given for the maximum number, τn, of nonoverlapping unit spheres that can touch a unit sphere in n-dimensional Euclidean space, for n≤24. In particular it is shown that τ8 = 240 and τ24 = 196560. © 1979.
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页码:210 / 214
页数:5
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