Rectified cyclotruncated tetrahedral-octahedral honeycomb

The rectified cyclotruncated tetrahedral honeycomb, also called the rectified bitruncated tetrahedral-octahedral honeycomb or rebtatoh is an isogonal honeycomb that consists of rectified truncated tetrahedra, octahedra and triangular antiprisms. 3 rectified truncated tetrahedra, 1 octahedron, and 2 triangular antiprisms join at each vertex. It can be formed by rectifying the bitruncated tetrahedral-octahedral honeycomb.

It can also be formed as the convex hull of 2 semi-uniform variants of the rectified cubic honeycomb where each has P4 symmetry, and half the edges are 3 times longer than the other half.

The ratio between the longest and shortest edges is 1:$$\sqrt3$$ ≈ 1:1.73205.