Pentagrammic-octagrammic duoprism

The pentagrammic-octagrammic duoprism, also known as stastodip or the 5/2-8/3 duoprism, is a uniform duoprism that consists of 8 pentagrammic prisms and 5 octagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a pentagrammic-octagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±\frac12,\,±\frac{\sqrt2-1}{2}\right),$$
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±\frac{\sqrt2-1}{2},\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}},\,±\frac12,\,±\frac{\sqrt2-1}{2}\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}},\,±\frac{\sqrt2-1}{2},\,±\frac12\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±\frac12,\,±\frac{\sqrt2-1}{2}\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±\frac{\sqrt2-1}{2},\,±\frac12\right).$$