Pentagrammic-dodecagrammic duoprism

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

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