Great heptagrammic-enneagrammic duoprism

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

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