This paper presents a parametric approach toward studying the characteristics of the Islamic geometric patterns (IGP). The presented computational system utilizes a parametric description of the geometry to initiate the process of metamorphosis exploration and to document the generated variations. The study found that changing the parameters in the description produces new variations that have a wide range of qualitative and quantitative properties; some match exactly the properties of traditionally existed geometries.
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Alani et al. (2015) studied this question.