Computer Graphics for Generating Islamic Geometric Periodic and Quasi-periodic Patterns

We present a simple method for constructing patterns of Islamic geometric art. The method allows creating a parameterized set of motifs within a fundamental region of a periodic pattern. The constructed template motif will undergo the inner symmetries of a chosen symmetry group to obtain the content of the unit cell. The whole pattern is obtained by applying several linearly independent translations to the generated unit motif. We show how this method can be adapted to construct Islamic quasi-periodic patterns.