Ali Qapu pavilion, Isfahan

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 3.75°.
• Contains one regular four-pointed star polygon with vertex angle of 60° - composed of kites.
• Contains one regular 6-pointed star polygon with vertex angle of 90° - composed of kites.
• Contains one regular 12-pointed star polygon with vertex angle of 90° - composed of kites.
• There are five non-regular reflective tiles (including 5 kites) and three reflective pairs.
• The tiling does not satisfy the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 894 polygons.

1. Page 125 (Ali Qapu pavilion, Isfahan, Iran) of Javad Shafai. On decoration in Persian architecture and wood carving, Tehran, 1977. [shafai] {In Persian}

• Tiling with three or more proper stars

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