Great prismatodecachoric prism

The great prismatodecachoric prism or gippiddip is a prismatic uniform polyteron that consists of 2 great prismatodecachora, 10 truncated octahedral prisms, and 20 square-hexagonal duoprisms. 1 great prismatodecachoron, 2 truncated octahedral prisms, and 2 square-hexagonal duoprisms join at each vertex. As the name suggests, it can be obtained as a prism based on the great prismatodecachoron, so it is also a convex segmentoteron.

This polyteron can be alternated into a snub decachoric antiprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a great prismatodecachoric prism of edge length 1 are given by the following points, along with the central inversions of:
 * $$±\left(0,\,\tfrac{\sqrt6}{3},\,-\tfrac{\sqrt3}{3},\,±2,\,±\frac12\right),$$
 * $$±\left(0,\,\tfrac{\sqrt6}{3},\,-\tfrac{5\sqrt3}{6},\,±\tfrac32,\,±\frac12\right),$$
 * $$±\left(0,\,\tfrac{\sqrt6}{3},\,\tfrac{7\sqrt3}{6},\,±\tfrac12,\,±\frac12\right),$$
 * $$±\left(0,\,\tfrac{2\sqrt6}{3},\,-\tfrac{\sqrt3}{6},\,±\tfrac32,\,±\frac12\right),$$
 * $$±\left(0,\,\tfrac{2\sqrt6}{3},\,-\tfrac{2\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$±\left(0,\,\tfrac{2\sqrt6}{3},\,\tfrac{5\sqrt3}{6},\,±\tfrac12,\,±\frac12\right),$$
 * $$±\left(±\tfrac{\sqrt{10}}{2},\,\tfrac{\sqrt6}{6},\,-\tfrac{\sqrt3}{6},\,±\tfrac32,\,±\frac12\right),$$
 * $$±\left(±\tfrac{\sqrt{10}}{2},\,\tfrac{\sqrt6}{6},\,-\tfrac{2\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$±\left(±\tfrac{\sqrt{10}}{2},\,\tfrac{\sqrt6}{6},\,\tfrac{5\sqrt3}{6},\,±\tfrac12,\,±\frac12\right),$$
 * $$±\left(±\tfrac{\sqrt{10}}{2},\,±\tfrac{\sqrt6}{2},\,0,\,±1,\,±\frac12\right),$$
 * $$\left(±\tfrac{\sqrt{10}}{2},\,±\tfrac{\sqrt6}{2},\,±\tfrac{\sqrt3}{2},\,±\tfrac12,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,\tfrac{\sqrt6}{12},\,-\tfrac{\sqrt3}{3},\,±2,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,\tfrac{\sqrt6}{12},\,-\tfrac{5\sqrt3}{6},\,±\tfrac32,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,\tfrac{\sqrt6}{12},\,\tfrac{7\sqrt3}{6},\,±\tfrac12,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,-\tfrac{\sqrt6}{4},\,0,\,±2,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,-\tfrac{\sqrt6}{4},\,±\sqrt3,\,±1,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,-\tfrac{7\sqrt6}{12},\,-\tfrac{\sqrt3}{6},\,±\tfrac32,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,-\tfrac{7\sqrt6}{12},\,-\tfrac{2\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,-\tfrac{7\sqrt6}{12},\,\tfrac{5\sqrt3}{6},\,±\tfrac12,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,\tfrac{3\sqrt6}{4},\,0,\,±1,\,±\frac12\right),$$
 * $$±\left(\tfrac{\sqrt{10}}{4},\,\tfrac{3\sqrt6}{4},\,±\tfrac{\sqrt3}{2},\,±\frac12,\,±\frac12\right).$$