Biambocubic honeycomb

The biambocubic honeycomb is an isogonal honeycomb that consists of octahedra and triangular antiprisms obtained as the union of two rectified cubic honeycombs.

Optimization
Since the biambocubic honeycomb has no variations in its highest symmetry, the two edge lengths are always at a ratio of 1:$\sqrt{2}$ ≈ 1:1.41421.