3845

Paul Gailiunas

Bridges

2020

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.