Hendecagonal-truncated octahedral duoprism

The hendecagonal-truncated octahedral duoprism or hentoe is a convex uniform duoprism that consists of 11 truncated octahedral prisms, 8 hexagonal-hendecagonal duoprisms, and 6 square-hendecagonal duoprisms. Each vertex joins 2 truncated octahedral prisms, 1 square-hendecagonal duoprism, and 2 hexagonal-hendecagonal duoprisms.

Vertex coordinates
The vertices of a hendecagonal-truncated octahedral duoprism of edge length 2sin(π/11) are given by all permutations of the last three coordinates of: where j = 2, 4, 6, 8, 10.
 * $$\left(1,\,0,\,0,\,±\sqrt2\sin\frac\pi{11},\,±2\sqrt2\sin\frac\pi{11}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,0,\,±\sqrt2\sin\frac\pi{11},\,±2\sqrt2\sin\frac\pi{11}\right),$$