CONVEX HULLS OF SIERPINSKI RELATIVES

被引：2

作者：

Taylor, T. D. ^{[1
]}

Rowley, S. ^{[1
]}

机构：

[1] St Francis Xavier Univ, Dept Math Stat & Comp Sci, Antigonish, NS B2G 2W5, Canada

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2018年 / 26卷 / 06期

关键词：

Sierpinski Relatives; Iterated Function Systems; Convex Hulls; SELF; CONNECTIVITY; FRACTALS; GEOMETRY;

D O I：

10.1142/S0218348X18500986

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents an investigation of the convex hulls of the Sierpinski relatives. These fractals all have the same fractal dimension but different topologies. We prove that the relatives have convex hulls with polygonal boundaries with at most 12 vertices. We provide a method for finding the convex hull of a relative using its scaling and symmetry properties and present examples. We also investigate the connectivity properties of certain classes of relatives with the same convex hulls.

引用

页数：15

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