Truncated cyclotruncated tetrahedral-octahedral honeycomb

The truncated bitruncated tetrahedral-octahedral honeycomb or tabtatoh is an isogonal honeycomb that consists of ditruncated tetrahedra, truncated tetrahedra and triangular antiprisms formed by truncating the bitruncated tetrahedral-octahedral honeycomb.

Optimization
Since the truncated bitruncated tetrahedral-octahedral honeycomb has one variation in its highest symmetry, optimization gives the following edge lengths as:


 * $\sqrt{3}$/3 ≈ 0.57735
 * 1