Geometric Study of Architectural Designs on a Twelfth Century Structure

Mahsa Kharazmi and Reza Sarhangi
Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014)
Pages 175–182 Regular Papers


The article “Geometric Analysis of Forumad Mosque's Ornaments”, which appeared in the Bridges Enschede Conference Proceedings, presented the analysis of some architectural designs and ornaments that adorn the walls of a 12th century structure in Iran: Friday Mosque of Forumad. All the patterns studied in that article were created based on the division of a circle into six congruent arcs. In the present paper we continue our study of the geometric patterns that have embellished this mosque but include patterns that are not necessarily related to the division of a circle into six. The most interesting ornamental patterns are those that cannot be classified in a usual manner. Rather, their geometric compositions are based on a traditional construction process that were used by the craftsmen of the past, the radial grid approach, which results in a rectangular tiling unit called girih. In this article we analyze some girih patterns as well.