Roman mosaic, Pompei

The Pompei variant has no ornamentation, but the El Jem version does.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular two-pointed star polygon with vertex angle of 45°.
• Contains two regular four-pointed star polygons with vertex angle of 45°.
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 149 polygons.

1. Page 43, Figure 34 (No colouring or source given) of Issam El-Said, ed. El-Bouri & Critchlow. Islamic Art and Architecture: The system of Geometric Design, Garnet, Reading, UK, 1993. ISBN 187393845. [elsaid2] {}
2. Pl 184 (a,c) (Pompei, El Jem, Itlay) of Catherine Balmelle .... Le décor géométrique de la mosaïque romaine, Paris, Picard, 2002. ISBN 270840624. [balmelle] {2 vols}

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

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