Owen Jones, Plate XXV(left centre)

Pompeian Ornament, see Cahier & Martin, page 2 (bottom). Also in the house of the Forum of Lucus Feroniae, see Field, page 33.

This pattern is a member of an interesting class of mathematical patterns. Also: Racinet, plate 54. PP Class 90, [p4m,d4,d1], IH Class 70.

Statistics on this tiling:

Tiling has symmetry p4m.
Tiling has 4 polygons (with 14 edges) of which 1 are specified as copies of others.
Edges are completely connected.
Tiling is edge-to-edge.
Tiling satisfies the two-polygon condition.
Tiling satisfies the interlace condition with 0 finite interlaces and 2 infinite interlaces.
Internal angles a multiple of 45°.
Contains one non-regular polygon which has reflective symmetry.
Contains: 2 squares.
Tiling contains 265 polygons.