Cathedral Monreale

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two squares.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There is one non-regular reflective tile.
• The tiling satisfies the interlace condition and has one finite interlace and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 145 polygons.

1. Position not recorded (Cathedral, Monreale, Italy. Marble paving) of anon. Islamic culture in medieval Sicily, Vienna, 2004. ISBN 187404440. [siculo] {327 pages}(1859-70AD, 1276-87AH)

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