St Maria in Cosmedin, Rome

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 60°.
• Contains four regular two-pointed star polygons with vertex angle of 60°.
• There is one non-regular reflective tile.
• The tiling does not satisfy the two-colour condition.
• The tiling is not edge-to-edge.
• As drawn, contains about 267 polygons.

1. Fig 14.2a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Page 76 (top left) (St Maria in Cosmedin, Rome, Italy. Mosaic floor, 6th-12th centuries) 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.

v54