A Study on Measuring Complexity in Muqarnas Patterns

Abstract

Muqarnas forms and patterns carry a high level of spatial, structural, geometrical, and topological complexity. Having a high-level complexity and its definition through simple geometrical and mathematical relations makes muqarnas rich source of information content. By using entropy, which is one of the most important components of information theory, the complexities of built environments or building elements in various scales can be measured. Within the scope of this study, three entropybased methods were used to calculate the complexities of the muqarnas patterns located in the portal of the Buruciye Medrese, which was built in the Seljuk Period in Sivas. In this study, only shape factor was chosen among various factors for calculation and a layer-based representation was used to represent muqarnas patterns. As a result of the study, it was seen that calculated entropy value changed when the muqarnas pattern had different levels of detail. In addition, it was observed that the entropy values of the discrete layers differed from each other.

Application-based principles of islamic geometric patterns; state-of-the-art, and future trends in computer science/technologies: a review

“…Gherardini and Leali [167] proposed integrating traditional techniques of muqarnas design with modern photogrammetric 3D model tools to study and analyze the modularity and elements hierarchy. Guzelci and Alacam [168], after a comprehensive analysis, generated new muqarnas patterns using algorithms. In another study, Senhaji and Benslimane, [169] proposed an automatic algorithm to model the Moroccan-Andalusian muqarnas patterns from its' two-dimensional plane patterns, suggesting a set of rules.…”

A comparative analysis of the digital re-constructions of muqarnas systems: The case study of Sultanhanı muqarnas in Central Anatolia

“…Alaçam and Güzelci have also studied the use of parametric modeling software to reveal the tacit potentials of abstract muqarnas geometry and generate new designs. 25,26 This study is about the early phases of a specific muqarnas tradition found in Anatolia, in the period of Seljuks (11th-14th centuries AD). The foundations of many Islamic arts in Anatolia, which reached their peak points in the Ottoman period (1299-1923), were laid in its predecessor, Anatolian Seljuk period (1075-1308).…”

“…Alaçam and Güzelci have also studied the use of parametric modeling software to reveal the tacit potentials of abstract muqarnas geometry and generate new designs. 25,26…”