Symmetry Groups of Islamic Patterns at the Sultan Qaboos Grand Mosque

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Glenn R. Laigo, Haftamu Menker GebreYohannes and Fahad Mohammed Humaid Al Khamisi: Symmetry Groups of Islamic Patterns at the Sultan Qaboos Grand Mosque. In: Bridges 2014. Pages 183–190



In this paper, we analyze Islamic patterns found at the Sultan Qaboos Grand Mosque in Muscat, Oman. We use group theory to analyze these patterns. In particular, we consider dihedral, frieze, and wallpaper groups as possible symmetry groups of the patterns.

Extended Abstract


Used References

[1] Abas, S.J. and Salman, A.S. Symmetries of Islamic Geometrical Patterns, Singapore: World Scientific, 2007.

[2] Bodner, B. Lynn. “The Planar Crystallographic Groups Represented at Alhambra,” Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, pp. 225-232, 2013.

[3] Al Busaidi, Y.S. “The protection and management of historic monuments in the Sultanate of Oman: the historic buildings of Oman,” Proceedings of the Seminar for Arabian Studies (34), pp. 35-44, 2004.

[4] Chorbachi, W.K. “In the Tower of Babel: Beyond Symmetry in Islamic Art,” Computers Math. Applic. (17), pp. 751-789, 1989.

[5] Conway, J.H., Burgiel, H., Goodman-Strass, C. The Symmetries of Things, USA: AK Peters, 2008.

[6] Gallian, J.A. Contemporary Abstract Algebra, 8th ed, USA: Brooks/Cole Cengage Learning, 2012.

[7] Ghubash, H. Oman – The Islamic Democratic Tradition, London: Taylor & Francis, 2006.

[8] Islamic Art in Oman, a documentary film by the Ministry of Endowments and Religious Affairs, Sultanate of Oman. oman-documentary-en/, as of 2 February 2014.

[9] Malik, D.S., Mordeson, J.N., Sen, M.K. Fundamentals of Abstract Algebra, International Series in Pure and Applied Mathematics, USA: Mcgraw-Hill Book, 1997.

[10] The Sultan Qaboos Grand Mosque, the official website of the Ministry of Information, Sultanate of Oman., as of 2 February 2014.

[11]Washburn, D.K. and Crowe, D.W. Symmetries of Culture: Theory and Practice of Plane Pattern Analysis, USA: University of Washington Press, 1988.


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