Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons

Reza Sarhangi
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)
Pages 165–174


The main effort in this article is to study a series of Persian mosaic designs that have been illustrated in scrolls or which decorate the surfaces of old structures. The common element in these designs is a special ten pointed star polygon. This special concave polygon, called a decagram for convenience, is the dominant geometric shape of a series of polyhedral tessellations that all consist of the same common motifs.



  • bridges2012-165-feb1_2016.pdf [01 Feb 2016]: The shape referred to in the paper as a "shesh band" is more properly called a "tabl", and the shape called "table" should be "shamseh". The new PDF corrects the wording.