Runcicantic snub cubic honeycomb

The runcicantic snub cubic honeycomb is an isogonal honeycomb that consists of small rhombitetratetrahedra, truncated tetrahedra, triangular cupolas, rectangular trapezoprisms and tetragonal disphenoids obtained as a subsymmetrical faceting of the prismatorhombated cubic honeycomb. However, it cannot be made uniform.

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


 * $\sqrt{3}$-1 ≈ 0.7320508075688772935274463
 * 1