Great rhombated pentachoric prism

The great rhombated pentachoric prism or grippip is a prismatic uniform polyteron that consists of 2 great rhombated pentachora, 5 truncated octahedral prisms, 5 truncated tetrahedral prisms, and 10 triangular-square duoprisms. 1 great rhombated pentachoron, 2 truncated octahedral prisms, 1 truncated tetrahedral prism, and 1 triangular-square duoprisms join at each vertex. As the name suggests, it can be obtained as a prism based on the great rhombated pentachoron, which also makes it a convex segmentoteron.

Vertex coordinates
The vertices of a great rhombated pentachoric prism of edge length 1 are given by:
 * $$\left(\frac{\sqrt{10}}{20},\,-\frac{\sqrt6}{4},\,\frac{\sqrt3}{2},\,±\frac32,\,±\frac12\right),$$
 * $$\left(\frac{\sqrt{10}}{20},\,-\frac{\sqrt6}{4},\,-\sqrt3,\,0,\,±\frac12\right),$$
 * $$\left(\frac{\sqrt{10}}{20},\,\frac{5\sqrt6}{12},\,-\frac{\sqrt3}{6},\,±\frac32,\,±\frac12\right),$$
 * $$\left(\frac{\sqrt{10}}{20},\,\frac{5\sqrt6}{12},\,-\frac{2\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$\left(\frac{\sqrt{10}}{20},\,\frac{5\sqrt6}{12},\,\frac{5\sqrt3}{6},\,±\frac12,\,±\frac12\right),$$
 * $$\left(\frac{\sqrt{10}}{20},\,-\frac{7\sqrt6}{12},\,\frac{\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$\left(\frac{\sqrt{10}}{20},\,-\frac{7\sqrt6}{12},\,-\frac{2\sqrt3}{3},\,0,\,±\frac12\right),$$
 * $$\left(-\frac{\sqrt{10}}{5},\,0,\,\frac{\sqrt3}{2},\,±\frac32,\,±\frac12\right),$$
 * $$\left(-\frac{\sqrt{10}}{5},\,0,\,-\sqrt3,\,0,\,±\frac12\right),$$
 * $$\left(-\frac{\sqrt{10}}{5},\,\frac{\sqrt6}{3},\,\frac{\sqrt3}{6},\,±\frac32,\,±\frac12\right),$$
 * $$\left(-\frac{\sqrt{10}}{5},\,\frac{\sqrt6}{3},\,\frac{2\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$\left(-\frac{\sqrt{10}}{5},\,\frac{\sqrt6}{3},\,-\frac{5\sqrt3}{6},\,±\frac12,\,±\frac12\right),$$
 * $$\left(-\frac{\sqrt{10}}{5},\,-\frac{2\sqrt6}{3},\,\frac{\sqrt3}{6},\,±\frac12,\,±\frac12\right),$$
 * $$\left(-\frac{\sqrt{10}}{5},\,-\frac{2\sqrt6}{3},\,-\frac{\sqrt3}{3},\,0,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,-\frac{\sqrt6}{6},\,\frac{\sqrt3}{6},\,±\frac32,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,\frac{\sqrt6}{6},\,-\frac{\sqrt3}{6},\,±\frac32,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,-\frac{\sqrt6}{6},\,\frac{2\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,\frac{\sqrt6}{6},\,-\frac{2\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,-\frac{\sqrt6}{6},\,-\frac{5\sqrt3}{6},\,±\frac12,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,\frac{\sqrt6}{6},\,\frac{5\sqrt3}{6},\,±\frac12,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,±\frac{\sqrt6}{2},\,0,\,±1,\,±\frac12\right),$$
 * $$\left(\frac{3\sqrt{10}}{10},\,±\frac{\sqrt6}{2},\,±\frac{\sqrt3}{2},\,±\frac12,\,±\frac12\right),$$
 * $$\left(-\frac{9\sqrt{10}}{20},\,-\frac{\sqrt6}{12},\,\frac{\sqrt3}{3},\,±1,\,±\frac12\right),$$
 * $$\left(-\frac{9\sqrt{10}}{20},\,-\frac{\sqrt6}{12},\,-\frac{2\sqrt3}{3},\,0,\,±\frac12\right),$$
 * $$\left(-\frac{9\sqrt{10}}{20},\,\frac{\sqrt6}{4},\,0,\,±1,\,±\frac12\right),$$
 * $$\left(-\frac{9\sqrt{10}}{20},\,\frac{\sqrt6}{4},\,±\frac{\sqrt3}{2},\,±\frac12,\,±\frac12\right),$$
 * $$\left(-\frac{9\sqrt{10}}{20},\,-\frac{5\sqrt6}{12},\,\frac{\sqrt3}{6},\,±\frac12,\,±\frac12\right),$$
 * $$\left(-\frac{9\sqrt{10}}{20},\,-\frac{5\sqrt6}{12},\,-\frac{\sqrt3}{3},\,0,\,±\frac12\right).$$