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.

引用

页码：48 / 52

页数：5

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