Mathematics in Islamic Art & Architecture

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Iranian-born photographer and physics student Mohammad Reza Domiri Ganji recently held an exhibition of his photographs displaying images of impressive works of architecture from his native Iran (“Historic Persian Islamic monuments and Temples”).

See the stunning gallery as it cycles through the home page here:  http://gravity.ir/

BADGING:

Watch the pictures as they cycle through the main page (you can skip the natural photographs if you like — you’re welcome to view them if you like them, but these questions will focus on the architectural photographs.)  But closely study each picture of the Islamic architecture.

Write a couple of paragraphs that describe any mathematical properties found in Islamic art and architecture that he is photographing.  Be sure to describe anything involving patterns, symmetry, repetition, polygons, tiling, tessellations, conic sections (parabolas, ellipses, etc.), ratios, proportions, etc.

Why do you think that Islamic art contains so much precise detail (and mathematics) in it?  Answer in a couple of sentences.

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