Two Polygons, PP Class 64, [p4,c4,c2], IH Class 61.

T00878 = data149/L3010

T00878, data149/L3010 (Click on image for high-quality PDF version)

Geometry

The symmetry group of the tiling is 442 (p4).
All the internal angles of the constituent polygons are a multiple of 90°.
Contains one square.
There are no non-regular reflective pairs and one tile with no mirror image.
The tiling does not satisfy the two-colour condition.
The tiling is not edge-to-edge.
The tiling satisfies the two-polygon condition.
As drawn, contains about 37 polygons.

References

Publications referenced:

PP Class 64, [p4,c4,c2], IH Class 61 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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