Tetracontoctachoric prism

The tetracontoctachoric prism or contip is a prismatic uniform polyteron that consists of 2 tetracontoctachora and 48 truncated cubic prisms. 1 tetracontoctachoron and 4 truncate cubic prisms join at each vertex. As the name suggests, it s a prism based on the tetracontoctachoron, which also makes it a convex segmentoteron.

Vertex coordinates
The vertices of a tetracontoctachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
 * $$\left(±(1+\sqrt2),\,±\frac{2+\sqrt2}{2},\,±\frac{2+\sqrt2}{2},\,0,\,±\frac12\right),$$
 * $$\left(±\frac{3+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12\right).$$