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 a cuboctahedron and a truncated octahedron as bases, connected by 6 cubes 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:
 * $$\left(±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,\frac{\sqrt2}{2}\right)$$ and all permutations of first three coordinates
 * $$\left(±\sqrt2,\,±\frac{\sqrt2}{2},\,0,\,0\right)$$ and all permutations of first three coordinates

Representations
A cuboctahedron atop truncated octahedron segmentochoron has the following Coxeter diagrams:


 * oo4xx3ox&#xt (full symmetry)
 * xx3ox3xx&#x (A3 symmetry for bases)