Hendecagonal-octahedral duoprism

The hendecagonal-octahedral duoprism or henoct is a convex uniform duoprism that consists of 11 octahedral prisms and 8 triangular-hendecagonal duoprisms. Each vertex joins 2 octahedral prisms and 4 triangular-hendecagonal duoprisms.

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