Bourgoin, Plate 32

Version with regular 5-star: Bourgoin, Plate 32 and version with regular heptagon: Bourgoin, Plate 32.

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 3°.
• Contains one regular 6-pointed star polygon with vertex angle of 78°.
• There are 6 non-regular reflective tiles.
• The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 199 polygons.

1. Fig 13.3c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Plate 32 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.

Photo?

v54