Bourgoin, Plate 63

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains one regular octagon.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are five non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 187 polygons.

1. Figure 35c 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 63 (No exact source) 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 063

Photo?

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