Monreale Cathedral

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 30°.
• Contains 6 equilateral triangles.
• Contains one regular two-pointed star polygon with vertex angle of 60°.
• There are two non-regular reflective tiles (including one kite).
• The tiling does not satisfy the two-colour condition.
• The tiling is not edge-to-edge.
• As drawn, contains about 605 polygons.

1. Plate XXX(17) (Byzantine ornament. Monreale Cathedral, Italy) of Owen Jones. The Grammar of Ornament, Dover, 1856. ISBN 048625463. [jones] {Excellent book with 100 colour plates, with many containing several tiling patterns.} Fuller version available on Internet.

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