Mihrab, Sultan al-Ashraf mosque

The pattern on a mihrab has problems. The curved surface of the niche is difficult to photograph, with the left-hand part missing. The expected symmetry is not present and after some interaction, the construction in the diagram was thought best.

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains 101 regular two-pointed star polygons with vertex angle of 72°.
• Contains 38 regular pentagons.
• Contains five regular 10-pointed star polygons with vertex angle of 72°.
• There are 9 non-regular reflective tiles (including one kite).
• The tiling satisfies the two-colour condition with straight cross-overs, but interlace counts not determined.
• The tiling is edge-to-edge.
• As drawn, contains about 1935 polygons.

1. Page 186 (Sultan al-Ashraf, al-Khanqa, Egypt. mihrab) of Bernard O'Kane. The Mosques of Egypt, AUC, Cairo, 2016. ISBN 978977416732. [okane2] {}(1437AD, 840AH)

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