Great prismatotetracontoctachoric prism

The great prismatotetracontoctachoric prism or gippiccup is a prismatic uniform polyteron that consists of 2 great prismatotetracontoctachora, 48 great rhombicuboctahedral prisms, and 192 square-hexagonal duoprisms. 1 great prismatotetracontoctachoron, 2 great rhombicuboctahedral prisms, and 2 square-hexagonal duoprisms join at each vertex. As the name suggests, it is a prism based on the great prismatotetracontoctachoron, which also makes it a convex segmentoteron.

This polyteron can be alternated into a snub tetracontoctachoric antiprism, although it cannot be made uniform, or it can be subsymmetrically faceted into a runcicantic snub icositetrachoric alterprism, although it cannot be made scaliform.

Vertex coordinates
The vertices of a great prismatotetracontoctachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
 * $$\left(±\frac{5+3\sqrt2}{2},\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12\right),$$
 * $$\left(±3\frac{1+\sqrt2}{2},\,±\frac{3+2\sqrt2}{2},\,±\frac{3+\sqrt2}{2},\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac{4+3\sqrt2}{2},\,±(1+\sqrt2),\,±\frac{2+\sqrt2}{2},\,±1,\,±\frac12\right).$$