Small rhombicuboctahedron atop truncated cube

Small rhombicuboctahedron atop truncated cube, or sircoatic, is a CRF segmentochoron (designated K-4.100 on Richard Klitzing's list). As the name suggests, it consists of a small rhombicuboctahedron and a truncated cube as bases, connected by 12 triangular prisms, 8 octahedra, and 6 square cupolas.

Two small rhombicuboctahedron atop truncated cube segmentochora can be attached to the bases of a truncated cubic prism to form a small rhombated tesseract, as the square cupolas of the caps fuse with the octagonal prisms of the truncated cubic prism to form further small rhombicuboctahedra.

Vertex coordinates
The vertices of a small rhombicuboctahedron atop truncated cube segmentochoron of edge length 1 are given by:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,\frac{\sqrt2}{2}\right)$$ and all permutations of first three coordinates
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,0\right)$$ and all permutations of first three coordinates