Grafton, Plate 8A

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular octagon.
• Contains one regular four-pointed star polygon with vertex angle of 45°.
• There are three non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 191 polygons.

1. Plate 42 (When octagon and triangles merged) 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.
2. Plate 8A (lower right) (Some ornamentation omitted) of Carol Belanger Grafton. Decorative Tile Designs in full Color, Dover, 1992. [grafton] {92 High quality colour plates; dated 1870-1930.}

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