Mausoleum of Uljaytu

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 15°.
• Contains three regular two-pointed star polygons with vertex angle of 75°.
• Contains one regular 6-pointed star polygon with vertex angle of 105°.
• Contains one regular 8-pointed star polygon with vertex angle of 75°.
• There are four non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 294 polygons.

1. Page 445, Fig. 381e (Mausoleum of Uljaytu, Iran) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}

• Wade photo IRA 2610

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