Great cubihexadecadisoctachoron

The great cubihexadecadisoctachoron, or gichado, is a nonconvex uniform polychoron that consists of 24 cubes, 16 truncated tetrahedra, 8 great cubicuboctahedra, and 8 quasitruncated cuboctahedra. 1 cube, 1 truncated tetrahedron, 1 great cubicuboctahedron, and 1 quasitruncated cuboctahedron join at each vertex.

The great cubihexadecadisoctachoron contains the vertices of a quasitruncated cuboctahedral prism.

Vertex coordinates
The vertices of a great cubihexadecadisoctachoron of edge length 1 are given by all permutations of:


 * (±(2$\sqrt{2–√2}$–1)/2, ±($\sqrt{2}$–1)/2, ±1/2, ±1/2)