Pentagrammic-octagonal duoprism

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

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

Representations
A pentagrammic-octagonal duoprism has the following Coxeter diagrams:
 * x5/2o x8o (full symmetry)
 * x4x x5/2o (BC2×H2 symmetry, octagons as ditetragons)