Craig S. Kaplan.
Islamic Star Patterns from Polygons in Contact.
In GI '05: Proceedings of the 2005 conference on Graphics Interface, 2005.
Abstract
We present a simple method for rendering Islamic star patterns based
on Hankin's “polygons-in-contact” technique. The method
builds star patterns from a tiling of the plane and a small number of
intuitive parameters. We show how this method can be adapted to construct
Islamic designs reminiscent of Huff's parquet deformations. Finally,
we introduce a geometric transformation on tilings that expands the
range of patterns accessible using our method. This transformation
simplifies construction techniques given in previous work, and
clarifies previously unexplained relationships between certain classes
of star patterns.