Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)

Pages 141–150 Regular Papers

This paper is the second one to appear in the Bridges Proceedings that addresses some problems recorded in the
*Interlocks of Similar or Complementary Figures* treatise. Most problems in the treatise are sketchy and some of them
are incomprehensible. Nevertheless, this is the only document remaining from the medieval Persian that demonstrates
how a girih can be constructed using compass and straightedge. Moreover, the treatise includes some puzzles in the
transformation of a polygon into another one using mathematical formulas or dissection methods. It is believed that the
document was written sometime between the 13^{th} and 15^{th} centuries by an anonymous mathematician/craftsman. The
main intent of the present paper is to analyze a group of problems in this treatise to respond to questions such as what
was in the mind of the treatise’s author, how the diagrams were constructed, is the conclusion offered by the author
mathematically provable or is incorrect. All images, except for photographs, have been created by author.

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