Bourgoin, Plate 45

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular two-pointed star polygon with vertex angle of 45°.
• Contains one regular octagon.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• There are three non-regular reflective tiles (including one kite and one dart).
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 291 polygons.

1. Figure 30 of I El-Said and A Parman. Geometric concepts in Islamic Art, World of Islam Festival Publishing Co, 1976. ISBN 090503503. [elsaid] {Gives sources of several interesting patterns.}
2. Plate 45 (No source known) of J Bourgoin. Arabic Geometrical Pattern and Design, Dover, 1879. ISBN 048622924. [bourgoin] {Classical book of around 200 hand-produced patterns, in back and white.} Fuller version available on Internet.

• Wade photo BOU 045

Photo?

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