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Computational Investigation Of The Morphological Design Dimensions Of Historic Hexagonal-Based Islamic Geometric Patterns, Mostafa Waleed Hashem Alani

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This dissertation examines the morphology of Islamic Geometric Patterns (IGP). Using mixed methods, including the simulation of historical designs and content analysis, this dissertation explores the question of how it is possible to mathematically describe the IGP. The study argues that the compositional analysis of geometry is not solely sufficient to investigate the design characteristics of the IGP, and the underlying mathematics and computational nature of the IGP should be considered when investigating historical IGP.

The study presents a parametric description method that captures the reality of the IGP in numeric form and utilizes the form to derive representational codes …