Pentagrammic antiprismatic prism

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

Vertex coordinates
The vertices of a pentagrammic antiprismatic prism of edge length 1 are given by:
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±\sqrt{\frac{\sqrt5-1}8},\,+\frac12\right),$$
 * $$\left(±\frac{\sqrt5-1}4,\,\sqrt{\frac{5+\sqrt5}{40}},\,±\sqrt{\frac{\sqrt5-1}8},\,+\frac12\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±\sqrt{\frac{\sqrt5-1}8},\,+\frac12\right).$$

Representations
A pentagrammic antiprismatic prism has the following Coxeter diagrams:
 * x2s2s5/2s (full symmetry)
 * x2s2s10/2o
 * xx xo5/2ox&#x (pentagrammic prism atop gyrated pentagrammic prism)