Cairo pentagonal tiling

The Cairo pentagonal tiling is an isohedral tiling with mirror-symmetric pentagons for faces, joining 3 or 4 to a vertex. It is the dual of the uniform snub square tiling.

Each face of this tiling is a bilaterally-symmetric pentagon with 1 short and 4 long edges. If the short edge has length 1, the long edges have length $$\frac{1+\sqrt3}{2} ≈ 1.36603$$. Two non-adjacent angles measure 90°, while the other three angles measure 120°.