Triangular-pentagrammic duoprism

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

Vertex coordinates
Coordinates for the vertices of a triangular-pentagonal duoprism with edge length 1 are given by:
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,\sqrt{\frac{5-\sqrt5}{10}}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,\sqrt{\frac{5-\sqrt5}{10}}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}}\right),$$