Racinet, plate 37

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two regular two-pointed star polygons with vertex angle of 45°.
• Contains two regular 8-pointed star polygons with vertex angle of 45°.
• There are 10 non-regular reflective tiles (including one dart).
• The tiling satisfies the interlace condition and has 7 finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 485 polygons.

1. Plate 37 (Islamic: Motifs from Algerian public architecture, 13th and 14th centries) of Auguste Racinet. Full-Color Picture Sourcebook of Historic Ornament, Dover, 1886. ISBN 048626096. [racinet]

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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