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Mukarnası Yeniden Değerlendirmek: Parametrik Üretken Bir Keşif

Year 2025, Volume: 30 Issue: 1, 258 - 272, 29.04.2025
https://doi.org/10.53433/yyufbed.1518020

Abstract

Mukarnas, İslam mimarisinin önemli bir unsuru olarak hem süsleme hem de yapısal işlevi ile portal, kubbe ve mihrab gibi elemanları süslemektedir. Mukarnas tasarımları genellikle projeksiyon planlarının oluşturulmasıyla başlayan inşa sürecini yönlendiren geometrik strüktürlere dayanmaktadır. Çalışma kapsamında İslami geometrik desenler ve ilk muqarnas prototiplerinden ilham alınarak mukarnas izdüşüm planları incelenmiş, kare ve baklava birimlerinden oluşan tessellasyonların ortaya çıktığı gözlenmiştir. Bu tessellasyonların geometrik yapısının analizi, sistematik bir yaklaşım geliştirilmesine olanak tanımaktadır. Rhinoceros programında Grasshopper eklentisi kullanılarak, her adım sistematik olarak işlenip mukarnas modelleri oluşturulmaktadır. Bu süreç, tessellasyonları üç boyutlu geometrik birimlere dönüştürerek mukarnas tasarımları olarak değerlendirmektedir. Mukarnas üretimleri sağlanmasının yanı sıra, geleneksel İslami geometrik desenler ile çağdaş hesaplamalı tasarım araçları arasında bir bağlantı ortaya koyan bu çalışma kültürel mirasın korunması ve yenilenmesine katkı sunmaktadır. Parametrik modeller, mukarnas tasarımında yer alan geometrik dönüşümlerin somut bir temsilini sağlayarak, İslam mimari tasarımında gelenekselliğin ve aynı zamanda yenilikçiliğin birleşimini yansıtmaktadır.

References

  • Ağırbaş, A., Yıldız, G., & Şahin, M. (2022). Interrelation between grid systems and star polygons of muqarnas ground projection plans. Heritage Science, 10, 12. https://doi.org/10.1186/s40494-022-00647-z
  • Ajlouni, R. a. A. (2012). The global long-range order of quasi-periodic patterns in Islamic architecture. Acta Crystallographica, 68, 235-243. https://doi.org/10.1107/s010876731104774x
  • Alaçam, S., Güzelci, O. Z., Gürer, E., & Bacınoğlu, S. Z. (2017). Reconnoitering computational potentials of the vault-like forms: thinking aloud on muqarnas tectonics. International Journal of Architectural Computing, 15(4), 285-303. https://doi.org/10.1177/1478077117735019
  • Carrillo, A. (2016). The Sasanian tradition in Abbāsid art: Squinch fragmentation as the structural origin of the muqarnas. Mirabilia, 22(1), 201-226.
  • Dallal, Y. (2019). Muqarnas formats in early Ottoman architecture (İznik, Bursa, Edirne). Review of the Faculty of Divinity University of Süleyman Demirel, 42(5), 75-91.
  • Dold-Samplonius, Y. (1992). Practical Arabic mathematics: measuring the muqamas by al-Kashi. Centaurus, 35, 193-242.
  • Ettinghausen, R., Grabar, O., & Jenkins-Madina, M. (2003). Islamic art and architecture, 650–1250. Yale University Press.
  • Gökmen, S., Başık, A., Aykın, Y., & Alaçam, S. (2022). Computational modeling and analysis of Seljukid muqarnas in Kayseri, Journal on Computing and Cultural Heritage, 15(2), 27. https://doi.org/10.1145/3477399
  • Gökmen, S., Aykın, Y., Başık, A., & Alaçam, S. (2023). A recursive algorithm for the generative study of Seljuk muqarnas in Kayseri and Sivas. Nexus Network Journal, 25, 751-772. https://doi.org/10.1007/s00004-023-00686-4
  • Hamekasi N. (2013). Interactive design of muqarnas. (MSc. Thesis), University of Calgary, Institute of Graduate Studies, Alberta, Canada.
  • Harb, U. (1978). Ilkhanidische stalaktitengewölbe: beiträge zu entwurf und bautechnik. Dietrich Reimer Verlag Publisher.
  • Harmsen, S. (2006). Algorithmic computer reconstructions of stalactite vaults - muqarnas - in Islamic architecture. (Ph.D. diss.), Ruprecht-Karls-Universität.
  • Jones, D. (1995). The elements of decoration: Surface, pattern and light. In G. Michell (Ed.), Architecture of the Islamic world. Its history and social meaning (pp. 144-175). China: Thames & Hudson.
  • Kayseri Regional Directorate, General Directorate of Foundations (Turkey). (2020). Photographs of architectural heritage in Kayseri region.
  • Kılıçoglu, S. (2022). An essay on the classification of muqarnas: Geometric foundations based on application in practice. Türk İslâm Medeniyeti Akademik Araştırmalar Dergisi, 17(34), 331-347.
  • Kılıçoglu, S. (2017). İslam sanatında geometrik bezemenin kökeni ve mukarnas kubbe. (MSc. Thesis), Yıldız Technical University, Natural and Applied Sciences Institute, İstanbul, Türkiye.
  • Lu, P. J., & Steinhardt, P. J. (2007). Decagonal and quasi-crystalline tilings in medieval Islamic architecture. Science, 315(5815), 1106-1110. https://doi.org/10.1126/science.1135491
  • Massaiu, M. (2018). The representation of power in the art and architecture of the kingdom of Sicily during the Norman Period (1130-1189 AD). (Ph.D. Diss.), The University of Cordoba.
  • McClary, R. P. (2015). The Rūm Saljūq architecture of Anatolia 1170 – 1220. (Ph.D. Diss.), The University of Edinburgh.
  • Necipoğlu, G. (1996). The Topkapi scroll: geometry and ornament in Islamic architecture. Getty Publications.
  • Özdural, A. (1990). Giyaseddin Jemshid el-Kashi and stalactites. METU JFA, 10(1-2), 31-49.
  • Ödekan, A. (1977). Osmanlı öncesi Anadolu Türk mimarisinde mukarnaslı portal örtüleri. İstanbul: İstanbul Technical University Publishing.
  • Senhaji, M., & Benslimane, R. (2019). Automatic 3D muqarnas architectural pattern reconstruction using plane representation. Journal of Cultural Heritage, 35, 25-40. https://doi.org/10.1016/j.culher.2017.12.004
  • Tabbaa, Y. (2001). The transformation of Islamic art during the Sunni revival. University of Washington Press.
  • Takahashi, S. (n.d.). Muqarnas: A three-dimensional decoration of Islamic architecture [PDF]. Access date: April 18, 2025. https://drive.google.com/file/d/1fus93eOq74QwqHN8vtpvyqSNRtoqd2Hy/view?usp=drive_link
  • Yaghan, M. A. (2010). The evolution of architectural forms through computer visualization: muqarnas example. Electronic Visualisation and the Arts (EVA 2010). https://doi.org/10.14236/ewic/EVA2010.19
  • Yaghan, M. A. J. (2011). The muqarnas pre-dsigned erecting units: analysis, definition of the generic set of units, and a system of unit-creation as a new evolutionary step. Architectural Science Review, 44(3), 297-318. https://doi.org/10.1080/00038628.2001.9697485

Reevaluating Muqarnas: A Parametric Generative Exploration

Year 2025, Volume: 30 Issue: 1, 258 - 272, 29.04.2025
https://doi.org/10.53433/yyufbed.1518020

Abstract

Muqarnas, an essential feature in Islamic architecture, seamlessly combines ornamental and structural roles, adorning elements such as portals, domes, and mihrabs. The diverse design configurations of muqarnas are based on a geometric framework that guides the construction process, typically initiated by creating projection plans. Within the scope of this study, the examination of muqarnas projection plans revealed tessellations formed by strategically arranged square and rhombus units inspired by Islamic geometric patterns and early muqarnas prototypes. Analyzing the geometric structure of these tessellations facilitated a systematic approach. The study implemented each step by employing the Grasshopper plug-in in the Rhinoceros program, culminating in generating muqarnas models. This transformative process converted tessellations into tangible three-dimensional geometric units, ready for integration into muqarnas designs. This study deepened the understanding of muqarnas construction and demonstrated the integration between traditional Islamic geometric patterns and contemporary computational design tools. By blending the timeless elegance of Islamic geometric principles with cutting-edge digital methods, this research contributes to the preservation and innovation of cultural heritage, offering new insights into the future of Islamic architectural design. The parametric models represented the geometric transformations intrinsic to muqarnas, reflecting the fusion of tradition and innovation in Islamic architectural design.

References

  • Ağırbaş, A., Yıldız, G., & Şahin, M. (2022). Interrelation between grid systems and star polygons of muqarnas ground projection plans. Heritage Science, 10, 12. https://doi.org/10.1186/s40494-022-00647-z
  • Ajlouni, R. a. A. (2012). The global long-range order of quasi-periodic patterns in Islamic architecture. Acta Crystallographica, 68, 235-243. https://doi.org/10.1107/s010876731104774x
  • Alaçam, S., Güzelci, O. Z., Gürer, E., & Bacınoğlu, S. Z. (2017). Reconnoitering computational potentials of the vault-like forms: thinking aloud on muqarnas tectonics. International Journal of Architectural Computing, 15(4), 285-303. https://doi.org/10.1177/1478077117735019
  • Carrillo, A. (2016). The Sasanian tradition in Abbāsid art: Squinch fragmentation as the structural origin of the muqarnas. Mirabilia, 22(1), 201-226.
  • Dallal, Y. (2019). Muqarnas formats in early Ottoman architecture (İznik, Bursa, Edirne). Review of the Faculty of Divinity University of Süleyman Demirel, 42(5), 75-91.
  • Dold-Samplonius, Y. (1992). Practical Arabic mathematics: measuring the muqamas by al-Kashi. Centaurus, 35, 193-242.
  • Ettinghausen, R., Grabar, O., & Jenkins-Madina, M. (2003). Islamic art and architecture, 650–1250. Yale University Press.
  • Gökmen, S., Başık, A., Aykın, Y., & Alaçam, S. (2022). Computational modeling and analysis of Seljukid muqarnas in Kayseri, Journal on Computing and Cultural Heritage, 15(2), 27. https://doi.org/10.1145/3477399
  • Gökmen, S., Aykın, Y., Başık, A., & Alaçam, S. (2023). A recursive algorithm for the generative study of Seljuk muqarnas in Kayseri and Sivas. Nexus Network Journal, 25, 751-772. https://doi.org/10.1007/s00004-023-00686-4
  • Hamekasi N. (2013). Interactive design of muqarnas. (MSc. Thesis), University of Calgary, Institute of Graduate Studies, Alberta, Canada.
  • Harb, U. (1978). Ilkhanidische stalaktitengewölbe: beiträge zu entwurf und bautechnik. Dietrich Reimer Verlag Publisher.
  • Harmsen, S. (2006). Algorithmic computer reconstructions of stalactite vaults - muqarnas - in Islamic architecture. (Ph.D. diss.), Ruprecht-Karls-Universität.
  • Jones, D. (1995). The elements of decoration: Surface, pattern and light. In G. Michell (Ed.), Architecture of the Islamic world. Its history and social meaning (pp. 144-175). China: Thames & Hudson.
  • Kayseri Regional Directorate, General Directorate of Foundations (Turkey). (2020). Photographs of architectural heritage in Kayseri region.
  • Kılıçoglu, S. (2022). An essay on the classification of muqarnas: Geometric foundations based on application in practice. Türk İslâm Medeniyeti Akademik Araştırmalar Dergisi, 17(34), 331-347.
  • Kılıçoglu, S. (2017). İslam sanatında geometrik bezemenin kökeni ve mukarnas kubbe. (MSc. Thesis), Yıldız Technical University, Natural and Applied Sciences Institute, İstanbul, Türkiye.
  • Lu, P. J., & Steinhardt, P. J. (2007). Decagonal and quasi-crystalline tilings in medieval Islamic architecture. Science, 315(5815), 1106-1110. https://doi.org/10.1126/science.1135491
  • Massaiu, M. (2018). The representation of power in the art and architecture of the kingdom of Sicily during the Norman Period (1130-1189 AD). (Ph.D. Diss.), The University of Cordoba.
  • McClary, R. P. (2015). The Rūm Saljūq architecture of Anatolia 1170 – 1220. (Ph.D. Diss.), The University of Edinburgh.
  • Necipoğlu, G. (1996). The Topkapi scroll: geometry and ornament in Islamic architecture. Getty Publications.
  • Özdural, A. (1990). Giyaseddin Jemshid el-Kashi and stalactites. METU JFA, 10(1-2), 31-49.
  • Ödekan, A. (1977). Osmanlı öncesi Anadolu Türk mimarisinde mukarnaslı portal örtüleri. İstanbul: İstanbul Technical University Publishing.
  • Senhaji, M., & Benslimane, R. (2019). Automatic 3D muqarnas architectural pattern reconstruction using plane representation. Journal of Cultural Heritage, 35, 25-40. https://doi.org/10.1016/j.culher.2017.12.004
  • Tabbaa, Y. (2001). The transformation of Islamic art during the Sunni revival. University of Washington Press.
  • Takahashi, S. (n.d.). Muqarnas: A three-dimensional decoration of Islamic architecture [PDF]. Access date: April 18, 2025. https://drive.google.com/file/d/1fus93eOq74QwqHN8vtpvyqSNRtoqd2Hy/view?usp=drive_link
  • Yaghan, M. A. (2010). The evolution of architectural forms through computer visualization: muqarnas example. Electronic Visualisation and the Arts (EVA 2010). https://doi.org/10.14236/ewic/EVA2010.19
  • Yaghan, M. A. J. (2011). The muqarnas pre-dsigned erecting units: analysis, definition of the generic set of units, and a system of unit-creation as a new evolutionary step. Architectural Science Review, 44(3), 297-318. https://doi.org/10.1080/00038628.2001.9697485
There are 27 citations in total.

Details

Primary Language English
Subjects Architectural Computing and Visualisation Methods, Architectural Science and Technology, Information Technologies in Architecture and Design
Journal Section Engineering and Architecture / Mühendislik ve Mimarlık
Authors

Sevde Gülizar Dinçer 0000-0002-5300-8466

Mehmet Oğuz Duru 0000-0002-0583-0439

Publication Date April 29, 2025
Submission Date July 17, 2024
Acceptance Date February 5, 2025
Published in Issue Year 2025 Volume: 30 Issue: 1

Cite

APA Dinçer, S. G., & Duru, M. O. (2025). Reevaluating Muqarnas: A Parametric Generative Exploration. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 30(1), 258-272. https://doi.org/10.53433/yyufbed.1518020