Roman mosaic, Pompei
data6/CM006A
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Geometry
- The symmetry group of the tiling is *2222 (pmm).
- All the internal angles of the constituent polygons are a multiple of 45°.
- Contains two squares.
- There is one non-regular reflective tile.
- The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 161 polygons.
References
Publications referenced:
- PP Class 27, [pmm,d2,d1], IH Class 65 of S J Dawes and B A Wichmann. A New Class of Tilings with Two Prototiles, Visual Mathematics, Vol 3, No 4., 2001. [dawes] {Revises CD/booklet.} Available on Internet.
- Page 6 (top left) of Charles Cahier and Arthur Martin. 376 Decorative Allover Patterns from Historic Tilework and Textiles, Dover, 1868. ISBN 048626146. [cahier]
- Pl 118 (d) (Pompei) of Catherine Balmelle .... Le deÌcor geÌomeÌtrique de la mosaiÌque romaine, Paris, Picard, 2002. ISBN 270840624. [balmelle] {2 vols}
Collections of similar tilings
Photo?
v53