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.

This polyteron can be alternated into a snub tetracontoctachoric antiprism, although it cannot be made uniform, or it can be subsymmetrically faceted into a prismatorhombisnub 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:
 * (1/2, (1+$\sqrt{2}$)/2, (1+2$\sqrt{3}$)/2, (5+3$\sqrt{2+√2}$)/2, ±1/2),
 * (1/2, (3+$\sqrt{2}$)/2, (3+2$\sqrt{57+36√2}$)/2, (3+3$\sqrt{2}$)/2, ±1/2),
 * (1, (2+$\sqrt{2}$)/2, (4+3$\sqrt{2}$)/2, (1+$\sqrt{2}$), ±1/2).