Pentagrammic-hexagonal duoprism

The pentagrammic-hexagonal duoprism, also known as stahdip or the 5/2-6 duoprism, is a uniform duoprism that consists of 6 pentagrammic prisms and 5 hexagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a pentagrammic-hexagonal duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±1,\,0\right),$$
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±\frac12,\,±\frac{\sqrt3}2\right),$$
 * $$\left(±\frac{\sqrt5-1}4,\,\sqrt{\frac{5+\sqrt5}{40}},\,±1,\,0\right),$$
 * $$\left(±\frac{\sqrt5-1}4,\,\sqrt{\frac{5+\sqrt5}{40}},\,±\frac12,\,±\frac{\sqrt3}2\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±1,\,0\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±\frac12,\,±\frac{\sqrt3}2\right).$$

Representations
A pentagrammic-hexagonal duoprism has the following Coxeter diagrams:
 * x5/2o x6o (full symmetry)
 * x3x x5/2o (A2×H2 symmetry, hexagons as ditrigons)