Great rhombicuboctahedral prism

The great rhombicuboctahedral prism, or gircope, is a prismatic uniform polychoron that consists of 2 great rhombicuboctahedra, 6 octagonal prisms, 8 hexagonal prismss and 12 cubes. Each vertex joins one of each type of cell. As the name suggests, it is a prism based on the great rhombicuboctahedron.

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 an edge-snub octahedral hosochoron, which is also nonuniform.

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