Bitruncatocubic honeycomb

The bitruncatocubic honeycomb or bitach is an isogonal honeycomb that consists of octahedra, triangular antiprisms, tetragonal disphenoids and digonal disphenoids obtained as the union of two truncated cubic honeycombs.

Optimization
Since the bitruncatocubic honeycomb has one variation in its highest symmetry, optimization gives the following edge lengths as:


 * 1
 * $\sqrt{5+2√2}$/2 ≈ 1.3989663259659067020315405