Tetracontoctaquasirhombated tetracontoctachoron

The tetracontoctiquasirhombated tetracontoctachoron, or coqroc, is a nonconvex uniform polychoron that consists of 48 quasitruncated cuboctahedra and 48 cuboctatruncated cuboctahedra. 2 of each join at each vertex.

Vertex coordinates
The vertices of a tetracontoctaquasirhombated tetracontoctachoron of edge length 1 are given by all permutations of:


 * $$\left(±\frac{3-\sqrt2}{2},\,±\frac{2\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac12\right),$$
 * $$\left(±\frac{3-2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{\sqrt2-1}{2},\,\right),$$
 * $$\left(±(\sqrt2-1),\,±\frac{2-\sqrt2}{2},\,±1,\,±\frac{\sqrt2}{2}\right).$$