Octagrammic-enneagonal duoprism

The octagrammic-enneagonal duoprism, also known as stoendip or the 8/3-9 duoprism, is a uniform duoprism that consists of 9 octagrammic prisms and 8 enneagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a octagrammic-enneagonal duoprism, centered at the origin and with edge length 2sin(π/9), are given by: where j = 2, 4, 8.
 * $$\left(±\sin\frac{\pi}9,\,±\left(\sqrt2-1\right)\sin\frac{\pi}9,\,1,\,0\right),$$
 * $$\left(±\sin\frac{\pi}9,\,±\left(\sqrt2-1\right)\sin\frac{\pi}9,\,\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right)\right),$$
 * $$\left(±\sin\frac{\pi}9,\,±\left(\sqrt2-1\right)\sin\frac{\pi}9,\,-\frac12,\,±\frac{\sqrt3}2\right),$$
 * $$\left(±\left(\sqrt2-1\right)\sin\frac{\pi}9,\,±\sin\frac{\pi}9,\,1,\,0\right),$$
 * $$\left(±\left(\sqrt2-1\right)\sin\frac{\pi}9,\,±\sin\frac{\pi}9,\,\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right)\right),$$
 * $$\left(±\left(\sqrt2-1\right)\sin\frac{\pi}9,\,±\sin\frac{\pi}9,\,-\frac12,\,±\frac{\sqrt3}2\right),$$