Pentagrammic retroprismatic prism

The pentagrammic retroprismatic prism or starpip is a prismatic uniform polychoron that consists of 2 pentagrammic retroprisms, 2 pentagrammic prisms, and 10 triangular prisms. Each vertex joins 1 pentagrammic retroprism, 1 pentagrammic prism, and 3 triangular prisms. As the name suggests, it is a prism based on a pentagrammic retroprism. Being a prism based on an orbiform polytope, it is also a segmentochoron.

Vertex coordinates
The vertices of a pentagrammic retroprismatic prism of edge length 1 are given by the following points, as well as the central inversions of their first three coordinates:
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,\sqrt{\frac{5-\sqrt5}{40}},\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt5-1}4,\,\sqrt{\frac{5+\sqrt5}{40}},\,\sqrt{\frac{5-\sqrt5}{40}},\,±\frac12\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,\sqrt{\frac{5-\sqrt5}{40}},\,±\frac12\right).$$

Representations
A pentagrammic retroprismatic prism has the following Coxeter diagrams:
 * x2s2s10/3o (full symmetry)
 * x2s2s5/3s
 * xx xo5/3ox&#x (pentagrammic prism atop gyrated pentagrammic prism)