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|Title:||On the contraction ratio of iterated function systems whose attractors are Sierpinski n-gons||Authors:||Abdulaziz, Abdulrahman Ali
|Affiliations:||Department of Mathematics||Keywords:||Chaos game
Iterated function systems
|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.
|Appears in Collections:||Department of Mathematics|
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checked on Oct 21, 2021
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