Bourgoin, Plate 122

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 5°.
• Contains one regular 9-pointed star polygon with vertex angle of 80°.
• Contains one regular 12-pointed star polygon with vertex angle of 80°.
• There are 8 non-regular reflective tiles (including 2 kites) and one reflective pair.
• The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 899 polygons.

1. Page 180 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}
2. Plate 122 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 122

• Tilings not constructible by straightedge and compass

Photo?

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