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.

Optimization
Since the cantic snub cubic honeycomb has two variations in its highest symmetry, optimization gives the following edge lengths as:


 * 1,
 * (1+$\sqrt{5}$)/2 ≈ 1.61803...