Small birhombatocubic honeycomb

The small birhombatocubic honeycomb or sabirch is an isogonal honeycomb that consists of cuboctahedra, triangular antiprisms, square antipodiums and tetragonal disphenoids obtained as the union of two small rhombated cubic honeycombs.

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


 * $\sqrt{5-2√2}$/2 ≈ 0.7368128791039502965775046
 * 1