Octagrammic-great enneagrammic duoprism

The octagrammic-great enneagrammic duoprism, also known as stogstedip or the 8/3-9/4 duoprism, is a uniform duoprism that consists of 9 octagrammic prisms and 8 great enneagrammic prisms, with 2 of each at each vertex.

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