Abstract
Many muqarnas ground projection plans contain stars with unequal edge lengths in their compositions. In this study, the geometric reasons behind the unequality of star edge lengths in muqarnas ground projection plans have been searched. The main gates with complex-looking muqarnas belonging to the period of Suleiman the Magnificent (Kanuni Sultan Suleyman), designed by Architect Sinan in Istanbul, have been selected to examine. From the data obtained by 3D laser scanning and from the verification made, it has been confirmed that there are stars with unequal edge lengths in these muqarnas plans. From the geometrical examinations made according to the shape grammar theory, it was concluded that the muqarnas plans were created using spider-web grid and square grid layouts. It was also concluded that these grid types cause some of the star edge lengths to be unequal.
Highlights
Muqarnas is known as ornamentation used in Islamic architecture
When we look at two-dimensional muqarnas ground projection plans, we see stars like in Islamic patterns
When we look at the muqarnas plan composition, this was the most dominant point
Summary
Muqarnas is known as ornamentation used in Islamic architecture. Muqarnas can be of different types and complexity. In the studies of Bourgoin [5], Schneider [6], Critchlow [7], Hankin [8], Cromwell [9], Bodner [10], Agirbas [11] and Redondo-Buitrago and Huylebrouck [12] regarding the stars in Islamic patterns, this situation can be clearly seen. As it can be noticed in the muqarnas plan drawings of Uluengin [13], the stars in the muqarnas plans can be with or without equal edge lengths. We can call stars with equal edge lengths as regular stars and stars with unequal edge lengths as irregular
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