Tiling and Tazhib of Some Special Star Polygons: A Mathematics and Art Case Study

Reza Sarhangi
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 151–158 Regular Papers


This article presents the means for covering the interiors of some special star polygons using tiling and tazhib techniques. Several articles study approaches for tiling an unbounded plane using star polygonal motifs. However, the main focus of this article is to present methods for tiling bounded regions, such as the interiors of star polygons, using star polygons themselves to create self-similar designs. In addition, the paper introduces basic techniques of the classical Persian art form, tazhib. An artistic collaboration melding this art form with one of the tilings is included.