Bourgoin, Plate 189

• The symmetry group of the tiling is 2*22 (cmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains four regular two-pointed star polygons with vertex angle of 72°.
• Contains five regular pentagons.
• Contains two regular five-pointed star polygons with vertex angle of 72°.
• Contains one regular 10-pointed star polygon with vertex angle of 72°.
• There are 10 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has 6 finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 763 polygons.

1. Plate 189 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 189

Photo?

v54