Abstract
As a historical and ornamental building element, muqarnas are widely found among the entrances of madrasas, mosques, and hans in Anatolian Seljuk architecture. In Kayseri (Turkey), muqarnas structures are characterized by symmetrical distribution of patterned geometric layers that presents computational rules for the design and construction of these ornamental structures. The presented research focuses on 12 unique muqarnas structures that are analyzed through a computational methodology combining photogrammetry, three-dimensional modeling, symmetry, and graph theory. The computational analysis shows that Seljukid muqarnas exhibit patterned branching of the symmetry axis between layers radiating from their geometric center. Using the modeled samples, the article analyzes inherent symmetry rules and growth patterns while offering a novel way of studying, modeling, and categorizing muqarnas.
| Original language | English |
|---|---|
| Article number | 27 |
| Journal | Journal on Computing and Cultural Heritage |
| Volume | 15 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 2022 |
Bibliographical note
Publisher Copyright:© 2022 Association for Computing Machinery.
Funding
This research is funded by the The Scientific and Technological Research Council of Turkey (TUBITAK) under the project number 218K328 titled “Development of Computational Tools for Design Processes of Geometric Pattern Based Muqarnas.” Authors’ addresses: S. Gokmen, A. Basık, and Y. Aykın, Kadir Has University, Cibali, Kadir Has Cd., 34083 Cibali/Fatih, Istanbul, Turkey; emails: [email protected], {altanbasik, yusufaykin}@gmail.com; S. Alacam, Istanbul Technical University, Harbiye Mh, Taşkişla Cd. No: 2, 34367 Şişli, Istanbul, Turkey; email: [email protected]. Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]. © 2022 Association for Computing Machinery. 1556-4673/2022/04-ART27 $15.00 https://doi.org/10.1145/3477399
| Funders | Funder number |
|---|---|
| Türkiye Bilimsel ve Teknolojik Araştırma Kurumu | 218K328 |
Keywords
- 3D modeling
- graphs
- Muqarnas
- photogrammetry
- symmetry
