Small rhombicuboctahedron atop truncated octahedron

Small rhombicuboctahedron atop truncated octahedron, or sircoatoe, is a CRF segmentochoron (designated K-4.75 on Richard Klitzing's list). As the name suggests, it consists of a small rhombicuboctahedron and a truncated octahedron as bases, connected by 12 triangular prisms, 6 square antiprisms, and 8 triangular cupolas.

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