Enneagonal-dodecahedral duoprism

The enneagonal-dodecahedral duoprism or edoe is a convex uniform duoprism that consists of 9 dodecahedral prisms and 12 pentagonal-enneagonal duoprisms. Each vertex joins 2 dodecahedral prisms and 3 pentagonal-enneagonal duoprisms.

Vertex coordinates
The vertices of an enneagonal-dodecahedral duoprism of edge length 2sin(π/9) are given by: as well as all even permutations of the last three coordinates of: where j = 2, 4, 8.
 * $$\left(1,\,0,\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{9}\right),\,±\sin\left(\frac{j\pi}{9}\right),\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2}\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi9}{2}\right),$$
 * $$\left(1,\,0,\,0,\,±\sin\frac\pi9,\,±\frac{(3+\sqrt5)\sin\frac\pi9}{2}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{9}\right),\,±\sin\left(\frac{j\pi}{9}\right),\,0,\,±\sin\frac\pi9,\,±\frac{(3+\sqrt5)\sin\frac\pi9}{2}\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}{2},\,0,\,±\sin\frac\pi9,\,±\frac{(3+\sqrt5)\sin\frac\pi9}{2}\right),$$