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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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