Racinet, Plate 37

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 15°.
• Contains two equilateral triangles.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• Contains one regular 12-pointed star polygon with vertex angle of 60°.
• There are 6 non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 159 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]

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