Rectified cyclotruncated tetrahedral-octahedral honeycomb

The rectified bitruncated tetrahedral-octahedral honeycomb or rebtatoh is an isogonal honeycomb that consists of rectified truncated tetrahedra, octahedra and triangular antiprisms formed by rectifying the rectified bitruncated tetrahedral-octahedral honeycomb.

Optimization
Since the rectified bitruncated tetrahedral-octahedral honeycomb has no variations in its highest symmetry, the two edge lengths are always at a ratio of $\sqrt{3}$/3:1 ≈ 0.57735:1.