Abstract
Most Islamic geometric star patterns can be derived from tilings of regular polygons, and often additional nonregular
polygons are needed, especially in designs based on pentagons/decagons. Generally the angular
relationships between the polygons are exact, but there are a few examples, mainly Mamluk with a few from the
Seljuk Sultanate of Rum, that depend on approximations. Variations in the additional interstitial polygons
accommodate the inaccuracies. Many more such possibilities exist, and a fairly simple spreadsheet technique
allows for their investigation.
