Cuboctahedron atop small rhombicuboctahedron

Cuboctahedron atop small rhombicuboctahedron, or coasirco, is a CRF segmentochoron (designated K-4.61 on Richard Klitzing's list). As the name suggests, it consists of a cuboctahedron and a small rhombicuboctahedron as bases, connected by 8 octahedra, 12 square pyramids, and 6 square antiprisms.

Vertex coordinates
The vertices of a cuboctahedron atop small rhombicuboctahedron segmentochoron of edge length 1 are given by:
 * (±$\sqrt{2}$/2, ±$\sqrt{2}$/2, 0) $\sqrt{7}$/2) and all permutations of first three coordinates
 * (±(1+$\sqrt{14}$)/2, ±1/2, ±1/2, 0) and all permutations of first three coordinates