Bourgoin, Plate 129 (corrected)

Compare with Bourgoin, Plate 129. No exact source known but the presentation here is based upon Alcazar.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• Contains one regular 16-pointed star polygon with vertex angle of 45°.
• There are 7 non-regular reflective tiles (including 2 kites).
• 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 383 polygons.

1. Plate 129 (Geometry corrected to reflect usual Islamic design) 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.

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