Fractal Dimension of Islamic Architecture: The Structure of the "Patkaneh" in the dome of the Jame' Mosque of Ardestan, Iran

Year 2022, , 1233 - 1246, 01.12.2022

Mahya Ghouchani , Mehdi Mokaberian

https://doi.org/10.35378/gujs.982321

Abstract

The Jame' Mosque of Ardestan is one of the famous buildings of the fifth century in Iran, which is known in the field of architectural studies of the Seljuk period, as a clear example of the architectural features of this period. However, this mosque has been neglected and no detailed studies have been conducted on it. What distinguishes this building as the subject of this research is the geometric shape of the transition area (ChapireSazi). This geometry presents a different structure compared to buildings of the same period. For this purpose, preliminary information was collected through direct field observations, interviews with masters of building restoration and library studies. Then, using a descriptive-analytical method, the construction of the dome structure of the Jame' Mosque of Ardestan has been investigated. The results show that in the ChapireSazi of this dome, a new method has been used to build a corner called "Patkaneh". This method is based on fractal geometry, which has similar and self-organized structures.

Keywords

Fractal geometry, Islamic architecture, Patkaneh, ChapirehSazi, Dome structure

Supporting Institution

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

References

• Rezazadeh Ardebili, M., Seyedi Saravi, M., Taheri Amiri, S., “A comparative study of the plan and dome of Ardabil Mosque with similar plans and domes to investigate the correct drawing of the dome curve”, Journal of Fine Arts, 23 (3): 69-82, (2018).
• Memarian, G., Soltanahmadi, B., Azarnoush, M., “New Theory about the First Chapire with Squinch Rip in Iran’s Architecture History”, Journal of Iranian Architecture & Urbanism, 8(2): 75-84, (2017).
• Golchin, H., Salehi kakhki, A., Jabalameli, A., “Explanation of Geometrical System of zone of transition in Gonbad-e Sorkh in Comparison with Common Pattern of Seljuk’s Zone of Transition”, The Monthly Scientific Journal of Bagh-e Nazar, 14(57): 75-84, (2018).
• Nasri, E., Aslani, H., “Study of decorative elements and architecture of the minarets of the Seljuk period in Isfahan”, Peykareh, 9(20): 24-36, (2020).
• Zomorshidi, H., Dome and Elements of Iran Arch, Second edition, Tehran: Zaman Publications, (2011).
• Pope, A., Iranian Architecture, translated by Gholam Hossein Sadri Afshar, Tenth edition, Tehran: Noghteh Publications, (2019).
• Hashemi, S. Y., Introduction to Islamic Architecture, First edition, Tehran: Sanei Publications, (2015).
• Pirnia, M. K., Stylistics of Iranian Architecture, Tenth edition,Tehran: Memarian Publishing, (2019).
• Taji, M., Altar to Ascension; Principles of Mosque Design, First edition, Tehran: Islamic Azad University, (2019).
• Salehi Kakhki, A., Azizpour, Sh., Rahimi Ariaei, A., and Bank, F., “Analysis of the spatial-physical structure of Ardestan Grand Mosque with the separation of historical layers”, Iranian Journal of Restoration and Architecture, 4(8): 33-46, (2014).
• Memarian, G. H., Iranian architecture; Niarash, Eighth edition, Tehran: Goljam Publications, (2018).
• Golabchi, M., Javani Dizaji, A., Architectural Technology of Iran, Third edition, Tehran: University of Tehran Press, (2016).
• Vafamehr, M., Technology of Traditional Iranian Architectural Structures, Third edition, Tehran: Padideh Publications, (2015).
• Zomorshidi, H., Iranian Architecture; Execution of a building with traditional materials, Second edition, Tehran: Emerald Publications, (2016).
• Liukak, R., Architects; Masters and builders in the architecture of the Islamic world (history and its social meaning), Translated by Yaghoub Azhand, First edition, Tehran: Molly Publications, (2009).
• Godard, A., Godard, I., Arches and Arches in Iranian Architecture, translated by Hamid Qaraguzlu and Saeed Saemi, First edition, Tehran: Modiran-e Emrooz Publications, (2011).
• Safaeipour, H., Memarian, G. H., Bemanian, M. R., “Understanding what a hammer coating is through the analysis of the first examples in Iranian architecture”, Iranian Journal of Architectural Studies, 5: 5-19, (2014).
• Hillenbrand, R., Islamic Art and Architecture, Translated by Ardeshir Ishraqi, Second edition, Tehran: Rozaneh Publications, (2012).
• Mohammadi, M., Neyestani, J., Mousavi Koohpar, S. M., Hejbari Nobari, A., “A study of typology, elements and components of Iranian architecture in the Sassanid period”, Journal of Archaeological Research, 1(1): 83- 104, (2011).
• Mandelbrot, B., The Fractal Geometry of Nature, First edition, New York, US: W.H. Freeman, (1983).
• MdRian, I., Shuichi Asayama, M., “From fractal geometry to architecture: Designing a grid-shell-like structure using the Takagi–Landsberg surface”, Computer-Aided Design, 98: 40-53, (2018).
• Noghrekar, A. H., Man’s Relationship with Nature and Architecture, First edition, Tehran, Iran: University of Science and Technology, (2013).
• Taghvaei, V., “From Order to Disorder in Nature and Architecture”, Hoviatshahr, 6(11): 39-52, (2012).
• Jencks, C., The Story of Post-Modernism: Five Decades of the Ironic, Iconic and Critical in Architecture, First edition, UK: Wiley, (2011).
• Memarian, G. H., Introduction to Islamic Architecture of Iran, Tenth edition, Tehran: Memarian Publishing, (2018).
• Rezazadeh Ardebili, M., Restoration of Architectural Works, Eighth edition, Tehran: University of Tehran Press, (2016).
• Abbaszadeh, M., Tarighi, S., Alizadegan, A., “The system of structures of the dome of the Urmia Grand Mosque”, Safa Magazine, 28(83): 119-136, (2018).
• Mustaghani, A., Alimoradi, M., “Analysis of the application of nature and fractal geometry in parametric architecture by examining the internal array of the dome of Sheikh Lotfollah Mosque”, Letter of Architecture and Urban Planning, 16: 103-121, (2016).