Inthe scope of this study, after a comprehensive analysis, new muqarnas patterns are generated by usingalgorithms.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:Throughout history, mathematicians from different cultures and places traced other scholars' work tomake a contribution and extend the knowledge of the geometry field.
📊
Key Findings & Data:In the Islamic world, artisanscombine the theoretical knowledge about geometry and making skills to build more sophisticated andcomplicated geometric patterns.
💡
Conclusion & Impact:Inthe scope of this study, after a comprehensive analysis, new muqarnas patterns are generated by usingalgorithms.
Throughout history, mathematicians from different cultures and places traced other scholars' work tomake a contribution and extend the knowledge of the geometry field. In the Islamic world, artisanscombine the theoretical knowledge about geometry and making skills to build more sophisticated andcomplicated geometric patterns. Today, the underlying principles of geometric patterns are still aresearch subject of many physicists and mathematicians. Geometric patterns are used both in designand construction phases of muqarnas which is a specialized spatial element in Islamic Architecture. Inthe scope of this study, after a comprehensive analysis, new muqarnas patterns are generated by usingalgorithms.
GÜZELCİ, O. Z., ALAÇAM, S. (2019). A STUDY ON MEASURING COMPLEXITY IN MUQARNAS PATTERNS. Turkish Online Journal of Design Art and Communication, Cilt: 9 Sayı: 2, 191–201. https://ajindex.com/articles/914079
Abdullahi, Y., & Embi, M. R. B. (2013). Evolution of Islamic geometric patterns. Frontiers of Architectural Research, 2(2), 243-251.
Alaçam, S., Güzelci, O. Z., Gürer, E., & Bacınoğlu, S. Z. (2017). Reconnoitring computational potentials of the vault-like forms: Thinking aloud on muqarnas tectonics. International Journal of Architectural Computing, 15(4), 285-303.
Al Kashi G.A.D.N. (1977). Key of arithmetics (ed Nablusi N, Arabic edition). Damascus: University of Damascus Press.
Arik, M., & Sancak, M. (2007). Turkish–Islamic art and Penrose tilings. Balkan Physics Letters, 15(1), 1-12.
Arnheim, R. (1971). Art and Entropy: An Essay on Disorder and Order.Berkeley: University of California Press.
Berggren, J. L. (2017). Episodes in the mathematics of medieval Islam. Springer. Castera, J. M. (1999). Arabesques: Decorative Art in Morocco. Art Creation Realisation. Castera, J. M. (2016). Persian variations. Nexus Network Journal, 18(1), 223-274.
Crompton, A. (2012). The entropy of LEGO®. Environment and Planning B: Planning and Design, 39(1), 174-182.
Cromwell, P. R. (2009). The search for quasi-periodicity in Islamic 5-fold ornament. The Mathematical Intelligencer, 31(1), 36. Dold-Samplonius, Y., & Harmsen, S. L. (2005). The muqarnas plate found at Takht-i Sulayman: a new interpretation. Muqarnas, 22, 85-94.
Einstein, A. (1921). Geometry and experience, reprinted in Ideas and Opinions, New York: Bonanza Books. Güzelci, O. Z., Güzelci, H. (2015). An Experimental Study on Generation Process of Geometric Patterns. Proceeding of XVIII Generative Art Conference, Italy. Hankin, E. H. (1905). On some discoveries of the methods of design employed in Mohammedan art. Journal of the Society of Arts, 53, 461-77.
Harmsen, S. (2006). Algorithmic computer reconstructions of stalactite vaults-muqarnas-in Islamic architecture. PhD Thesis, Heidelberg University, Heidelberg. Heinrichs, W. (1997). The etymology of muqarnas: some observations. In: Krotkoff G, Afsarudding A and Matias Zahniser AH (eds) Humanism, culture, and language in the Near East: studies in honor of Georg Krotkoff. Warsaw, IN: Eisenbrauns. Hensel, M. (2008). Performance‐Orientated Design Precursors and Potentials. Architectural design, 78(2), 48-53.
Houtsma T, Basset R & Arnold TW. (1934). Encyclopaedia of Islam: a dictionary of the geography, ethnography and biography of the Muhammadan peoples. Leiden: E. J. Brill. Kant, I. (1998). Critique of pure reason. Cambridge University Press.