Heptagonal-truncated octahedral duoprism

The heptagonal-truncated octahedral duoprism or hetoe is a convex uniform duoprism that consists of 7 truncated octahedral prisms, 8 hexagonal-heptagonal duoprisms and 6 square-heptagonal duoprisms. Each vertex joins 2 truncated octahedral prisms, 1 square-heptagonal duoprism, and 2 hexagonal-heptagonal duoprisms.

Vertex coordinates
The vertices of a heptagonal-truncated octahedral duoprism of edge length 2sin(π/7) are given by all permutations of the last three coordinates of: where j = 2, 4, 6.
 * $$\left(1,\,0,\,0,\,±\sqrt2\sin\frac\pi7,\,±2\sqrt2\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right),\,0,\,±\sqrt2\sin\frac\pi7,\,±2\sqrt2\sin\frac\pi7\right),$$