Tetrakis square tiling

The tetrakis square tiling is an isohedral tiling with isosceles triangles for faces, joining 4 or 8 to a vertex. It is the dual of the uniform truncated square tiling.

Each face of this tiling is an isosceles right triangle, with the base $$\sqrt2 ≈ 1.41421$$ times the side edges, 2 45° angles, and one 90° angle.