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

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Please use this identifier to cite or link to this item: https://scholarhub.balamand.edu.lb/handle/uob/5152

DC Field	Value	Language
dc.contributor.author	Abdulaziz, Abdulrahman Ali	en_US
dc.contributor.author	Judy Said	en_US
dc.date.accessioned	2021-09-27T07:13:59Z	-
dc.date.available	2021-09-27T07:13:59Z	-
dc.date.issued	2021	-
dc.identifier.issn	09600779	-
dc.identifier.uri	https://scholarhub.balamand.edu.lb/handle/uob/5152	-
dc.description.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.	en_US
dc.language.iso	eng	en_US
dc.publisher	Elsevier	en_US
dc.subject	Chaos game	en_US
dc.subject	Fractals	en_US
dc.subject	Iterated function systems	en_US
dc.subject	Sierpinski gasket	en_US
dc.title	On the contraction ratio of iterated function systems whose attractors are Sierpinski n-gons	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	10.1016/j.chaos.2021.111140	-
dc.identifier.scopus	2-s2.0-85108454802	-
dc.identifier.url	https://doi.org/10.1016/j.chaos.2021.111140	-
dc.contributor.affiliation	Department of Mathematics	en_US
dc.description.volume	150	en_US
dc.description.issue	September 2021, 111140	en_US
dc.description.startpage	1	en_US
dc.description.endpage	5	en_US
dc.date.catalogued	2021-09-05	-
dc.description.status	Published	en_US
dc.relation.ispartoftext	Chaos, Solitons & Fractals	en_US
crisitem.author.parentorg	Faculty of Arts and Sciences	-
Appears in Collections:	Department of Mathematics

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