Snub blended truncated hexadecachoron

The  or sobthex is a scaliform polychoron. It consists of 64 octahedra (falling into pairs in the same hyperplanes, forming 32 hexagrammic antiprisms) and 32 blends of 2 truncated tetrahedra.

Vertex coordinates
The vertices of a snub blended truncated hexadecachoron of edge length 1 are given by all permutations of:


 * $$\left(\pm\frac{\sqrt6}{2},\,\pm\frac{\sqrt6}{3},\,\pm\frac{\sqrt6}{6},\,\pm\frac{\sqrt6}{6}\right).$$