Ali Qapu pavilion, Isfahan

• The symmetry group of the tiling is 2*22 (cmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains one regular two-pointed star polygon with vertex angle of 72°.
• Contains four regular pentagons.
• Contains one regular 10-pointed star polygon with vertex angle of 72°.
• Contains one regular 10-pointed star polygon with vertex angle of 108°.
• There are 6 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has three finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 205 polygons.

1. Page 343, Fig. 253b (Imam Reza shrine, Mashhad, Iran) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}(14th century AD)
2. Page 96 (Ali Qapu pavilion, Isfahan, Iran. Ceiling) of Javad Shafai. On decoration in Persian architecture and wood carving, Tehran, 1977. [shafai] {In Persian}

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