Enneagonal-enneagrammic duoprism

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

The name can also refer to the enneagonal-great enneagrammic duoprism.

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