Two Polygons, PP Class 27, [pmm,d2,d1], IH Class 65.

Image of tile pattern described below

T00873, data149/CM006A (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 two squares.
There is one non-regular reflective tile.
The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces.
The tiling is edge-to-edge.
The tiling satisfies the two-polygon condition.
As drawn, contains about 29 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.

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