Great quasirhombated tesseract

The great quasirhombated tesseract, or gaqrit, is a nonconvex uniform polychoron that consists of 32 triangular prisms, 16 truncated tetrahedra, and 8 quasitruncated cuboctahedra. 1 triangular prism, 1 truncated tetrahedron, and 2 quasitruncated cuboctahedra join at each vertex. As the name suggests, it can be obtained by quasicantitruncating the tesseract.

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


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