Great quasiprismatotetracontoctachoron

The great quasiprismatotetracontoctachoron, or gaquapac, is a nonconvex uniform polychoron that consists of 192 hexagonal prisms and 48 quasitruncated cuboctahedra. 2 of each join at each vertex.

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


 * $$\left(±\frac{5-3\sqrt2}{2},\,±\frac{2\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac12\right),$$
 * $$\left(±3\frac{\sqrt2-1}{2},\,±\frac{3-2\sqrt2}{2},\,±\frac{3-\sqrt2}{2},\,±\frac12\right),$$
 * $$\left(±\frac{3\sqrt2-4}{2},\,±(\sqrt2-1),\,±\frac{2-\sqrt2}{2},\,±1\right).$$