Truncated pentachoric prism

The truncated pentachoric prism or tippip is a prismatic uniform polyteron that consists of 2 truncated pentachora, 5 truncated tetrahedral prisms, and 5 tetrahedral prisms. 1 truncated pentachoron, 1 tetrahedral prism, and 3 truncated tetrahedral prisms join at each vertex. As the name suggests, it is a prism based on the truncated pentachoron, which also makes it a convex segmentoteron.

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