Great rhombicuboctahedral prism

The great rhombicuboctahedral prism or gircope is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 great rhombicuboctahedra, 6 octagonal prisms, 8 hexagonal prisms and 12 cubes.

This polychoron can be alternated into an omnisnub cubic antiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a bialternatosnub octahedral hosochoron, which is also nonuniform.

Vertex coordinates
The vertices of a great rhombicuboctahedral prism of edge length 1 are given by all permutations and sign changes of the first three coordinates of:
 * (1/2, (1+$\sqrt{2}$)/2, (1+2$\sqrt{3}$)/2, ±1/2)