If you are interested in a more mathematical method of generating Islamic patterns based on tilings, be sure to look at the work of Craig Kaplan, especially his

If you are interested in a more mathematical method of generating Islamic patterns based on tilings, be sure to look at the work of Craig Kaplan, especially his Ph.D. thesis and related software tools, but perhaps start here: http://archive.bridgesmathart.org/2000/bridges2000-105.pdf http://archive.bridgesmathart.org/2000/bridges2000-105.pdf