Covering a convex body by its negative homothetic copies

被引：3
|
作者：
Januszewski, J [1 ]
Lassak, M [1 ]
机构：
[1] Inst Matemat & Fiz Atr, PL-85796 Bydgoszcz, Poland
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2001年 / 197卷 / 01期
关键词：
D O I：
10.2140/pjm.2001.197.43
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We estimate the number and ratio of negative homothetic copies of a d-dimensional convex body C sufficient for the covering of C. If the number of those copies is not very large, then our estimates are better than recent estimates of Rogers and Zong. Particular attention is paid to the 2-dimensional case. It is proved that every planar convex body can be covered by two copies of ratio -4/3 ( this ratio cannot be lessened if C is a triangle).
引用
收藏
页码：43 / 51
页数：9
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