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.
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