Runcicantic snub cubic honeycomb

The runcicantic snub cubic honeycomb or rusch is an isogonal honeycomb that consists of rhombitetratetrahedra, truncated tetrahedra, triangular cupolas, rectangular trapezoprisms, and tetragonal disphenoids. 1 rhombitetratetrahedron, 1 truncated tetrahedron, 3 triangular cupolas, 1 tetragonal disphenoid, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as a subsymmetrical faceting of the prismatorhombated cubic honeycomb, alternating the triangular faces. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{1+\sqrt3}{2}$$ ≈ 1:1.36603.