Basilica of St Francesco, Assisi

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains three squares.
• Contains two regular two-pointed star polygons with vertex angle of 45°.
• There are four non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling does not satisfy the two-colour condition.
• The tiling is not edge-to-edge.
• As drawn, contains about 624 polygons.

1. Page 72 (top) (Basilica of St Francesco, Assisi, Italy. Mosaic decorations) 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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