Cappella Palatina, Palazzo dei Normanni, Palermo

• The symmetry group of the tiling is 442 (p4).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains two regular two-pointed star polygons with vertex angle of 45°.
• There are three non-regular reflective tiles and two tiles with no mirror image.
• The tiling does not satisfy the two-colour condition.
• The tiling is not edge-to-edge.
• As drawn, contains about 519 polygons.

1. Page 112 (bottom) (Cappella Palatina, Palazzo dei Normanni, Palermo, Itlay. 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.(1132-40AD, 525-34AH)
2. Fig 11.12b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

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