Bourgoin, Plate 46

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains three regular 8-pointed star polygons with vertex angle of 90°.
• There are five non-regular reflective tiles (including 2 kites).
• The tiling satisfies the interlace condition and has two finite interlaces and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 319 polygons.

1. Fig 9.8a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Page 242 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.}
3. Plate 46 (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 046

Photo?

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