Cuboctatruncated cuboctahedral prism

The cuboctatruncated cuboctahedral prism, or cotcope, is a prismatic uniform polychoron that consists of 2 cuboctatruncated cuboctahedra, 6 octagrammic prisms, 6 octagonal prisms, and 8 hexagonal prisms,. Each vertex joins one of each type of cell. As the name suggests, it is a prism based on the cuboctatruncated cuboctahedron.

The cuboctatruncated cuboctahedral prism can be vertex-inscribed into the small skewverted prismatohexadecadisoctachoron and the antifrustary distetracontoctachoron.

Vertex coordinates
The vertices of a cuboctatruncated cuboctahedral prism of edge length 1 are given by all permutations of the first three coordinates of:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac{\sqrt2-1}{2},\,±\frac12,\,±\frac12\right).$$