SOME PROPERTIES OF SELF-SIMILAR CONVEX POLYTOPES

被引：0
|
作者：
Tetenov, A. V. [1 ]
Davydkin, I. B. [1 ]
机构：
[1] Gorno Altaisk State Univ, Lenkin Str 1, Gorno Altaisk 649000, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2011年 / 8卷
关键词：
self-similar set; fractal; convex polytope; graph-directed IFS; homothety; semigroup;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that for each semigroup G of similarities defining the self-similarity structure on a convex self-similar polytope K there is an edge A of K such that the fixed points of homotheties g is an element of G are dense in A.
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页码：48 / 52
页数：5
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