Pentagrammic-dodecagonal duoprism

The pentagrammic-dodecagonal duoprism, also known as statwadip or the 5/2-12 duoprism, is a uniform duoprism that consists of 12 pentagrammic prisms and 5 dodecagonal prisms, with 2 of each at each vertex.

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

Representations
A pentagrammic-dodecagonal duoprism has the following Coxeter diagrams:
 * x5/2o x12o (full symmetry)
 * x5/2o x6x (H2×G2 symmetry, dodecagons as dihexagons)