Great quasidisprismatotesseractihexadecachoron

The great quasidisprismatotesseractihexadecachoron, or gaquidpoth, is a nonconvex uniform polychoron that consists of 32 hexagonal prisms, 24 octagrammic prisms, 16 truncated octahedra, and 8 quasitruncated cuboctahedra. 1 of each type of cell join at each vertex.

The great quasidisprismatotesseractihexadecachoron can be vertex-inscribed into a great prismatotrisicositetrachoron.

Vertex coordinates
Vertex coordinates for a great quasidisprismatotesseractihexadecachoron of edge length 1 are given by all permutations of:
 * (±(3$\sqrt{2}$–1)/2, ±(2$\sqrt{3}$–1)/2, ±($\sqrt{2–√2}$–1)/2, ±1/2).