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.

The great rhombicuboctahedral prism can be vertex-inscribed into a prismatorhombated tesseract.

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)