Truncated octahedron atop truncated cube

Truncated octahedron atop truncated cube, or toatic, is a CRF segmentochoron (designated K-4.98 on Richard Klitzing's list). As the name suggests, it consists of a truncated octahedron and a truncated cube as bases, connected by 12 tetrahedra, 8 triangular cupolas, and 6 square cupolas.

Vertex coordinates
The vertices of a truncated octahedron atop truncated cube segmentochoron of edge length 1 are given by:
 * (±$\sqrt{2}$, ±$\sqrt{2+√2}$/2, 0, $\sqrt{2+√2}$/2) and all permutations of the first three coordinates.
 * (±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{2}$)/2, ±1/2, 0) and all permutations of the first three coordinaters