A different construction of the classical fractals via the escape time algorithm

A different construction of the classical fractals via the escape time algorithm

Fractals are fascinating shapes that have many examples in the nature and have the self-similarity property. In recent years, many studies have been made to obtain different fractal sets. There are several methods to generate these sets such as iterated function system (IFS), L-systems and the escap...

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Bibliographic Details
Main Authors: Nisa Aslan, Mustafa Saltan, Bünyamin Demir
Format: Article
Language:Turkish
Published: BİSKA Bilisim Company 2018-12-01
Series:Journal of Abstract and Computational Mathematics
Subjects:
Classical fractals
folding mappings
expanding mappings
the escape-time algorithm
Online Access:https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8489
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spelling doaj-1b3f0d893c664d6b80eef6a66ee3ecce2020-11-24T21:47:42ZturBİSKA Bilisim CompanyJournal of Abstract and Computational Mathematics2149-71682149-71682018-12-01341158489A different construction of the classical fractals via the escape time algorithmNisa Aslan0Mustafa Saltan1Bünyamin Demir2Eskişehir Technical UniversityEskişehir Technical UniversityEskişehir Technical UniversityFractals are fascinating shapes that have many examples in the nature and have the self-similarity property. In recent years, many studies have been made to obtain different fractal sets. There are several methods to generate these sets such as iterated function system (IFS), L-systems and the escape-time algorithm. In this paper, we use the escape-time algorithm to get the classical fractals by some specific folding and expanding mappings. Finally, we clearly give the maple codes that these fractals are obtained.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8489Classical fractalsfolding mappingsexpanding mappingsthe escape-time algorithm
collection DOAJ
language Turkish
format Article
sources DOAJ
author Nisa Aslan
Mustafa Saltan
Bünyamin Demir
spellingShingle Nisa Aslan
Mustafa Saltan
Bünyamin Demir
A different construction of the classical fractals via the escape time algorithm
Journal of Abstract and Computational Mathematics
Classical fractals
folding mappings
expanding mappings
the escape-time algorithm
author_facet Nisa Aslan
Mustafa Saltan
Bünyamin Demir
author_sort Nisa Aslan
title A different construction of the classical fractals via the escape time algorithm
title_short A different construction of the classical fractals via the escape time algorithm
title_full A different construction of the classical fractals via the escape time algorithm
title_fullStr A different construction of the classical fractals via the escape time algorithm
title_full_unstemmed A different construction of the classical fractals via the escape time algorithm
title_sort different construction of the classical fractals via the escape time algorithm
publisher BİSKA Bilisim Company
series Journal of Abstract and Computational Mathematics
issn 2149-7168
2149-7168
publishDate 2018-12-01
description Fractals are fascinating shapes that have many examples in the nature and have the self-similarity property. In recent years, many studies have been made to obtain different fractal sets. There are several methods to generate these sets such as iterated function system (IFS), L-systems and the escape-time algorithm. In this paper, we use the escape-time algorithm to get the classical fractals by some specific folding and expanding mappings. Finally, we clearly give the maple codes that these fractals are obtained.
topic Classical fractals
folding mappings
expanding mappings
the escape-time algorithm
url https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8489
work_keys_str_mv AT nisaaslan adifferentconstructionoftheclassicalfractalsviatheescapetimealgorithm
AT mustafasaltan adifferentconstructionoftheclassicalfractalsviatheescapetimealgorithm
AT bunyamindemir adifferentconstructionoftheclassicalfractalsviatheescapetimealgorithm
AT nisaaslan differentconstructionoftheclassicalfractalsviatheescapetimealgorithm
AT mustafasaltan differentconstructionoftheclassicalfractalsviatheescapetimealgorithm
AT bunyamindemir differentconstructionoftheclassicalfractalsviatheescapetimealgorithm
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