Duomo, Benvento

• 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 four regular two-pointed star polygons with vertex angle of 45°.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• There are two non-regular reflective tiles.
• The tiling does not satisfy the two-colour condition.
• The tiling is not edge-to-edge.
• As drawn, contains about 329 polygons.

1. Page 65 (middle) (Duomo, Benvento, Italy. Mosaic decoration) of F M Hessemer. Historic Designs and Patterns in Color, Dover, a1840. ISBN 048626425. [hessemer] {This collection is unusual in giving the source for almost all the patterns.} Available on Internet.(13th century AD)

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