Friday Mosque, Damghan

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains four squares.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are four non-regular reflective tiles.
• The tiling satisfies the interlace condition and has three finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 231 polygons.

1. Page 268, Fig 142 (Friday Mosque, Damghan, Iran. Minaret) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}(1080AD, 472AH)

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

Photo?

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