Mathematical Modeling of a Class of Symmetrical Islamic Design
In this paper, we present a new model for simulating an interesting class of Islamic design. Based on periodic sequences on the one-dimensional manifolds, and from emerging numbers, we construct closed graphs with edges on the unit circle. These graphs build very nice shapes and lead to a symmetrica...
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| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/4/517 |
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doaj-c732d6a166f343578f58fc389a0eb5c02020-11-25T00:30:03ZengMDPI AGSymmetry2073-89942019-04-0111451710.3390/sym11040517sym11040517Mathematical Modeling of a Class of Symmetrical Islamic DesignMostafa Zahri0College of Sciences, Department of Mathematics, Research Group MASEP, University of Sharjah, P.O. Box 27272, Sharjah 61174, UAEIn this paper, we present a new model for simulating an interesting class of Islamic design. Based on periodic sequences on the one-dimensional manifolds, and from emerging numbers, we construct closed graphs with edges on the unit circle. These graphs build very nice shapes and lead to a symmetrical class of geometric patterns of so-called Islamic design. Moreover, we mathematically characterize and analyze some convergence properties of the used up-down sequences. Finally, four planar type of patterns are simulated.https://www.mdpi.com/2073-8994/11/4/517Islamic designperiodic sequencesconjecturelimit cycleIslamic geometric patterns |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mostafa Zahri |
| spellingShingle |
Mostafa Zahri Mathematical Modeling of a Class of Symmetrical Islamic Design Symmetry Islamic design periodic sequences conjecture limit cycle Islamic geometric patterns |
| author_facet |
Mostafa Zahri |
| author_sort |
Mostafa Zahri |
| title |
Mathematical Modeling of a Class of Symmetrical Islamic Design |
| title_short |
Mathematical Modeling of a Class of Symmetrical Islamic Design |
| title_full |
Mathematical Modeling of a Class of Symmetrical Islamic Design |
| title_fullStr |
Mathematical Modeling of a Class of Symmetrical Islamic Design |
| title_full_unstemmed |
Mathematical Modeling of a Class of Symmetrical Islamic Design |
| title_sort |
mathematical modeling of a class of symmetrical islamic design |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2019-04-01 |
| description |
In this paper, we present a new model for simulating an interesting class of Islamic design. Based on periodic sequences on the one-dimensional manifolds, and from emerging numbers, we construct closed graphs with edges on the unit circle. These graphs build very nice shapes and lead to a symmetrical class of geometric patterns of so-called Islamic design. Moreover, we mathematically characterize and analyze some convergence properties of the used up-down sequences. Finally, four planar type of patterns are simulated. |
| topic |
Islamic design periodic sequences conjecture limit cycle Islamic geometric patterns |
| url |
https://www.mdpi.com/2073-8994/11/4/517 |
| work_keys_str_mv |
AT mostafazahri mathematicalmodelingofaclassofsymmetricalislamicdesign |
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1725328212121092096 |