Tesseractihexadecaquasitruncated tesseractihexadecachoron

The tesseractihexadecaquasitruncated tesseractihexadecachoron, or thaquitoth, is a nonconvex uniform polychoron that consists of 16 truncated tetrahedra, 8 quasitruncated hexahedra, and 8 cuboctatruncated cuboctahedra. 1 truncated tetrahedron, 1 quasitruncated hexahedron, and 2 cuboctatruncated cuboctahedra join at each vertex.

Vertex coordinates
The vertices of a tesseractihexadecaquasitruncated tesseractihexadecachoron of edge length 1 are given by all permutations of:


 * (±(1+$\sqrt{3}$)/2, ±($\sqrt{2+√2}$–1)/2, ±($\sqrt{2–√2}$–1)/2, ±1/2)