Abstract
Because of its unequal beauty and mathematical sophistication, Islamic art has received a great attention from several scientists. Hence, several works have been done to investigate its mathematical structure, and to discover its principle of construction. Up to now, no method of constructing new self-similar patterns were proposed. In this paper, we will present a method for constructing new self-similar patterns. The proposed method is based on successive subdivisions of the golden mean triangles.
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Photo courtesy of David Wade, Pattern in Islamic Art, catalogue no. IRA 0907
Photo courtesy of David Wade, Pattern in Islamic Art, catalogue no. IRA 0903
Photo courtesy of David Wade, Pattern in Islamic Art, catalogue no. SPA 1813
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Acknowledgements
The authors are grateful to David Wade for permission to reproduce the photographs in Figs. 3, 4 and 5, taken from the website “Pattern in Islamic Art” (https://patterninislamicart.com/).
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Khamjane, A., Benslimane, R. & Ouazene, Z. Method of Construction of Decagonal Self-Similar Patterns. Nexus Netw J 22, 507–520 (2020). https://doi.org/10.1007/s00004-019-00461-4
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DOI: https://doi.org/10.1007/s00004-019-00461-4