Please use this identifier to cite or link to this item: https://scholarhub.balamand.edu.lb/handle/uob/5152
Title: On the contraction ratio of iterated function systems whose attractors are Sierpinski n-gons
Authors: Abdulaziz, Abdulrahman Ali 
Judy Said
Affiliations: Department of Mathematics 
Keywords: Chaos game
Fractals
Iterated function systems
Sierpinski gasket
Issue Date: 2021
Publisher: Elsevier
Part of: Chaos, Solitons & Fractals
Volume: 150
Issue: September 2021, 111140
Start page: 1
End page: 5
Abstract: 
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 π/n.
URI: https://scholarhub.balamand.edu.lb/handle/uob/5152
ISSN: 09600779
DOI: 10.1016/j.chaos.2021.111140
Type: Journal Article
Appears in Collections:Department of Mathematics

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