Enneagonal-octahedral duoprism

The enneagonal-octahedral duoprism or eoct is a convex uniform duoprism that consists of 9 octahedral prisms and 8 triangular-enneagonal duoprisms. Each vertex joins 2 octahedral prisms and 4 triangular-enneagonal duoprisms.

Vertex coordinates
The vertices of an enneagonal-octahedral duoprism of edge length 2sin(π/9) are given by all permutations and sign changes of the last three coordinates of: where j = 2, 4, 8.
 * $$\left(1,\,0,\,0,\,0,\,\sqrt2\sin\frac\pi9\right),$$
 * $$\left(\cos\left(\frac{j\pi}{9}\right),\,±\sin\left(\frac{j\pi}{9}\right),\,0,\,0,\,\sqrt2\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}{2},\,0,\,0,\,\sqrt2\sin\frac\pi9\right),$$