Pentagrammic duoprism

The pentagrammic duoprism or stardip, also known as the pentagrammic-pentagrammic duoprism, the 5/2 duoprism or the 5/2-5/2 duoprism, is a noble uniform duoprism that consists of 10 pentagrammic prisms, with 4 meeting at each vertex.

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