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 two squares.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• There is one non-regular reflective tile.
• The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 213 polygons.

1. Page 78 (bottom) (Basilica of St Francesco, Assisi, Italy. Mosaic wall 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)
2. Photo by David Wade: SIC 031 (Monreale Cathedral, Palermo, Sicily, Italy) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}

• Wade photo SIC 031

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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