Islamic symmetric pattern generation based on group theory

Abstract

The art of Islamic symmetrical patterns (ISP) has proven to be an elegant method for the study of symmetry. These patterns offer a rich source for exploitation by artists and are also of interest to mathematicians, crystallographers, architects, archaeologists and others. This paper discusses, studies and analyzes the evolution of the Islamic symmetrical repeat pattern design by exploring ways in which the patterns can be created algorithmically based on the properties of group theory. The use of both isometrics and fold type symmetric concepts to create and perfectly color such symmetric patterns are also discussed. Experimental results demonstrate the approach with a variety of Islamic symmetrical pattern designs.

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