Zeynebiye madrasah, Hani, Turkey

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There are two non-regular reflective tiles.
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 329 polygons.

1. Page 276, Fig 154 (Zeynebiye madrasah, Hani, Turkey) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}(1000-1300AD, 389-699AH)

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

Photo?

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