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Symmetry: Culture and Science
Volume 34, Number 3, pages 231-249 (2023)
https://doi.org/10.26830/symmetry_2023_3_231

THE √3 RECTANGLE IN ISLAMIC GEOMETRIC PATTERNS

Hatice Busra Sahin^1*, Menekse Seden Tapan-Broutin²

¹ Bursa Uludag University, Education Faculty, Mathematics Education Department. Bursa, TURKEY
Email: hbsahin@uludag.edu.tr
ORCID: 0000-0002-8266-1958

² Bursa Uludag University, Education Faculty, Mathematics Education Department. Bursa, TURKEY
Email: tapan@uludag.edu.tr
ORCID: 0000-0002-1860-852X

^* corresponding author

Abstract: In this research, eleven different six-fold Islamic geometric patterns were analyzed geometrically, and the geometric relationships between the patterns were revealed. In the context of the Girih mode, the contributions of the small pattern mold constructed by using the symmetry axes to the geometric analysis of the patterns are emphasized. Patterns were considered whole, and small pattern molds were found using axes of symmetry. We have demonstrated that the rectangles of the small pattern mold of the six-fold patterns are √3 rectangle. This rectangle is one of the mathematical concepts used in Islamic geometric patterns.

Keywords: √3 rectangle, geometric analyses, Islamic geometric pattern, six-fold pattern
MSC 2010: 01A30, 51M05, 51M15, 97G40

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