Enneagonal-decagrammic duoprism

The enneagonal-decagrammic duoprism, also known as estadedip or the 9-10/3 duoprism, is a uniform duoprism that consists of 10 enneagonal prisms and 9 decagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a enneagonal-decagrammic duoprism, centered at the origin and with edge length 2sin(π/9), are given by: where j = 2, 4, 8.
 * $$\left(1,\,0,\,±\sin\frac{\pi}9,\,±\sqrt{5-2\sqrt5}\sin\frac{\pi}9\right),$$
 * $$\left(1,\,0,\,±\frac{3-\sqrt5}2\sin\frac{\pi}9,\,±\sqrt{\frac{5-\sqrt5}2}\sin\frac{\pi}9\right),$$
 * $$\left(1,\,0,\,±\left(\sqrt5-1\right)\sin\frac{\pi}9,\,0\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right),\,±\sin\frac{\pi}9,\,±\sqrt{5-2\sqrt5}\sin\frac{\pi}9\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right),\,±\frac{3-\sqrt5}2\sin\frac{\pi}9,\,±\sqrt{\frac{5-\sqrt5}2}\sin\frac{\pi}9\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right),\,±\left(\sqrt5-1\right)\sin\frac{\pi}9,\,0\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac{\pi}9,\,±\sqrt{5-2\sqrt5}\sin\frac{\pi}9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\frac{3-\sqrt5}2\sin\frac{\pi}9,\,±\sqrt{\frac{5-\sqrt5}2}\sin\frac{\pi}9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\left(\sqrt5-1\right)\sin\frac{\pi}9,\,0\right),$$