Pentagrammic-decagonal duoprism

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

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