On the contraction ratio of iterated function systems whose attractors are Sierpinski n-gons

被引：0

作者：

Abdulaziz, Abdulrahman ^{[1
]}

Said, Judy ^{[2
]}

机构：

[1] Univ Balamand, POB 100, Tripoli, Lebanon

[2] Lebanese Univ, Koura, North Lebanon, Libya

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 150卷

关键词：

Chaos game; Fractals; Iterated function systems; Sierpinski gasket;

D O I：

10.1016/j.chaos.2021.111140

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we apply the chaos game to n-sided regular polygons to generate fractals that are similar to the Sierpinski gasket. We show that for each n-gon, there is an exact ratio that will yield a perfect gasket. We then find a formula for this ratio that depends only on the angle pi/n. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：5