Bourgoin, Plate 184

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains five regular two-pointed star polygons with vertex angle of 72°.
• Contains one regular five-pointed star polygon with vertex angle of 72°.
• Contains one regular 10-pointed star polygon with vertex angle of 72°.
• There are 9 non-regular reflective tiles (including one kite).
• 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 570 polygons.

1. Page 345 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 184 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 184

Photo?

v54