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 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 of the first three coordinates of:
 * (±(1+2$\sqrt{2}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±1/2).