Cuboctahedron atop truncated octahedron

Cuboctahedron atop truncated octahedron, or coatoe, is a CRF segmentochoron (designated K-4.95 on Richard Klitzing's list). As the name suggests, it consists of an cuboctahedron and a truncated octahedron as bases, connected by 6 cubess and 8 triangular cupolas.

It can be obtained as the cap of the rectified icositetrachoron in cuboctahedron-first orientation.

Vertex coordinates
The vertices of a cuboctahedron atop truncated octahedron segmentochoron of edge length 1 are given by:
 * (±$\sqrt{2}$/2, ±$\sqrt{2}$/2, 0, $\sqrt{3}$/2) and all permutations of first three coordinates
 * (±$\sqrt{3}$, ±$\sqrt{2}$/2, 0, 0) and all permutations of first three coordinates