Hybrid 1-point and 2-point constructions for some Islamic geometric designs

Abstract

We present a technique for blending the 1-point and 2-point applications of the ‘polygons in contact’ method of constructing Islamic geometric patterns. Two special tiles provide the bridge. Evidence is presented for the historical use of this method, and hybrid structures are shown to underlie some traditional Turkish patterns.

Keywords:

• Islamic art
• star pattern
• polygons in contact

AMS Subject Claasifications::

• 51M15
• 52C20