Bourgoin, Plate 65

• 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 regular octagon.
• Contains one regular 16-pointed star polygon with vertex angle of 67.5°.
• There are 9 non-regular reflective tiles (including 4 kites and one dart).
• The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 655 polygons.

1. Plate 65 (No known 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 065

• Stars with 16 points with vertex angle not equal to 45°

Photo?

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