Cuboctatruncated cuboctahedron

The cuboctatruncated cuboctahedron or cotco, also called the cubitruncated cuboctahedron, is a uniform polyhedron. It consists of 8 hexagons, 6 octagons, and 6 octagrams, with one of each type of face meeting per vertex.

Vertex coordinates
A cuboctatruncated cuboctahedron of edge length 1 has vertex coordinates given by all permutations of:
 * (±(1+$\sqrt{7}$)/2, ±($\sqrt{3}$–1)/2, ±1/2).