Pentagrammic-enneagonal duoprism

The pentagrammic-enneagonal duoprism, also known as starendip or the 5/2-9 duoprism, is a uniform duoprism that consists of 9 pentagrammic prisms and 5 enneagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a pentagrammic-enneagonal duoprism, centered at the origin and with edge length 2sin(π/9), are given by: where j = 2, 4, 8.
 * $$\left(±\sin\frac{\pi}9,\,-\sqrt{\frac{5-2\sqrt5}5}\sin\frac{\pi}9,\,1,\,0\right),$$
 * $$\left(±\sin\frac{\pi}9,\,-\sqrt{\frac{5-2\sqrt5}5}\sin\frac{\pi}9,\,\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right)\right),$$
 * $$\left(±\sin\frac{\pi}9,\,-\sqrt{\frac{5-2\sqrt5}5}\sin\frac{\pi}9,\,-\frac12,\,±\frac{\sqrt3}2\right),$$
 * $$\left(±\frac{\sqrt5-1}2\sin\frac{\pi}9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac{\pi}9,\,1,\,0\right),$$
 * $$\left(±\frac{\sqrt5-1}2\sin\frac{\pi}9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac{\pi}9,\,\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right)\right),$$
 * $$\left(±\frac{\sqrt5-1}2\sin\frac{\pi}9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac{\pi}9,\,-\frac12,\,±\frac{\sqrt3}2\right),$$
 * $$\left(0,\,-2\sqrt{\frac{5-\sqrt5}{10}}\sin\frac{\pi}9,\,1,\,0\right),$$
 * $$\left(0,\,-2\sqrt{\frac{5-\sqrt5}{10}}\sin\frac{\pi}9,\,\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right)\right),$$
 * $$\left(0,\,-2\sqrt{\frac{5-\sqrt5}{10}}\sin\frac{\pi}9,\,-\frac12,\,±\frac{\sqrt3}2\right),$$