Bourgoin, Plate 107

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 1.25°.
• Contains one regular hexagon.
• Contains one regular three-pointed star polygon with vertex angle of 112.5°.
• Contains one regular 6-pointed star polygon with vertex angle of 60°.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are 8 non-regular reflective tiles (including 3 kites) and three reflective pairs.
• The tiling satisfies the interlace condition and has four finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 883 polygons.

1. Plate 107 (No authentic source found) 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 107

• Tiling with three or more proper stars

Photo?

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