Great heptagrammic-enneagonal duoprism

The great heptagrammic-enneagonal duoprism, also known as gishedip or the 7/3-9 duoprism, is a uniform duoprism that consists of 9 great heptagrammic prisms and 7 enneagonal prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a great heptagrammic-enneagonal duoprism, centered at the origin and with edge length 4sin(3π/7)sin(π/9), are given by: where j = 2, 4, 6 and k = 2, 4, 8.
 * $$\left(2\sin\frac{\pi}9,\,0,\,2\sin\frac{3\pi}7,\,0\right),$$
 * $$\left(2\sin\frac{\pi}9,\,0,\,2\sin\frac{3\pi}7\cos\left(\frac{k\pi}9\right),\,±2\sin\frac{3\pi}7\sin\left(\frac{k\pi}9\right)\right),$$
 * $$\left(2\sin\frac{\pi}9,\,0,\,-\sin\frac{3\pi}7,\,±\sqrt3\sin\frac{3\pi}7\right),$$
 * $$\left(2\sin\frac{\pi}9\cos\left(\frac{j\pi}7\right),\,±2\sin\frac{\pi}9\sin\left(\frac{j\pi}7\right),\,2\sin\frac{3\pi}7,\,0\right),$$
 * $$\left(2\sin\frac{\pi}9\cos\left(\frac{j\pi}7\right),\,±2\sin\frac{\pi}9\sin\left(\frac{j\pi}7\right),\,2\sin\frac{3\pi}7\cos\left(\frac{k\pi}9\right),\,±2\sin\frac{3\pi}7\sin\left(\frac{k\pi}9\right)\right),$$
 * $$\left(2\sin\frac{\pi}9\cos\left(\frac{j\pi}7\right),\,±2\sin\frac{\pi}9\sin\left(\frac{j\pi}7\right),\,-\sin\frac{3\pi}7,\,±\sqrt3\sin\frac{3\pi}7\right),$$