Pentagrammic-decagrammic duoprism

The pentagrammic-decagrammic duoprism, also known as stastidedip or the 5/2-10/3 duoprism, is a uniform duoprism that consists of 10 pentagrammic prisms and 5 decagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a pentagrammic-decagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2}\right),$$
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}}\right),$$
 * $$\left(±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,±\frac{\sqrt5-1}{2},\,0\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}},\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2}\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}},\,±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}}\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}},\,±\frac{\sqrt5-1}{2},\,0\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2}\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}}\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,±\frac{\sqrt5-1}{2},\,0\right).$$