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

Abdulrahman Abdulaziz and Judy Said

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

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.

Keywords: Chaos game; Fractals; Iterated function systems; Sierpinski gasket (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s096007792100494x

DOI: 10.1016/j.chaos.2021.111140

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