Great cubicuboctahedron

The great cubicuboctahedron, or gocco, is a uniform polyhedron. It consists of 8 triangles, 6 squares, and 6 octagrams. One triangle, one square, and two octagrams meet at each vertex.

Vertex coordinates
A small rhombicuboctahedron of edge length 1 has vertex coordinates given by all permutations of:
 * $$\left(±\frac{\sqrt2-1}{2},\,±\frac12,\,±\frac12\right).$$

Related polyhedra
The great cubicuboctahedron is the colonel of a three-member regiment that also includes the quasirhombicuboctahedron and the great rhombihexahedron.

The rhombiquasihyperhombicosicosahedron is a uniform polyhedron compound composed of 5 great cubicuboctahedra.