Two Polygons, PP Class 22, [pmm,d2,c1], IH Class 48.

T00915 = data149/NEW5

data149/NEW5 (Click on image for high-quality PDF version)

Geometry

The symmetry group of the tiling is *2222 (pmm).
All the internal angles of the constituent polygons are a multiple of 45°.
Contains one square.
There are one non-regular reflective pairs and no tiles with no mirror image.
The tiling does not satisfy the two-colour condition.
The tiling is edge-to-edge.
The tiling satisfies the two-polygon condition.
As drawn, contains about 79 polygons.

References

Publications referenced:

PP Class 22, [pmm,d2,c1], IH Class 48 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.

v54