Ceiling from Iran

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains one square.
• Contains one regular four-pointed star polygon with vertex angle of 45° - composed of kites.
• There are two non-regular reflective tiles (including one kite).
• The tiling does not satisfy the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 127 polygons.

1. Page 35 middle of Robert Field. Geometric Patterns from Islamic Art and Architecture, Tarquin Publications, 1998. ISBN 189961822. [field4]
2. Page 62 (Reza Shah's office, War Ministry, Tehran, Iran. Ceiling) of Javad Shafai. On decoration in Persian architecture and wood carving, Tehran, 1977. [shafai] {In Persian}

Photo?

v54