Bisnub cubic honeycomb

The bisnub cubic honeycomb or bisch is an isogonal honeycomb that consists of pyritohedral icosahedra and tetragonal disphenoids obtained through the process of alternating the bitruncated cubic honeycomb. However, it cannot be made uniform.

Optimization
Since the bisnub cubic honeycomb has no variations in its highest symmetry, the two edge lengths are always at a ratio of 1:$\sqrt{6}$/2 ≈ 1:1.22474.