Cantic snub cubic honeycomb

The cantic snub cubic honeycomb or casch is an isogonal honeycomb that consists of pyritohedral rhombicuboctahedra, pyritohedral icosahedra and wedges obtained as a subsymmetrical faceting and alternation of the great rhombated cubic honeycomb. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{1+\sqrt5}{2}$$ ≈ 1:1.61803.