Hendecagonal-cuboctahedral duoprism

The hendecagonal-cuboctahedral duoprism or henco is a convex uniform duoprism that consists of 11 cuboctahedral prisms, 6 square-hendecagonal duoprisms and 8 triangular-hendecagonal duoprisms. Each vertex joins 2 cuboctahedral prisms, 2 triangular-hendecagonal duoprisms, and 2 square-hendecagonal duoprisms.

Vertex coordinates
The vertices of a hendecagonal-cuboctahedral 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.
 * $$\left(1,\,0,\,0,\,±\sqrt2\sin\frac\pi{11},\,±\sqrt2\sin\frac\pi{11}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,0,\,±\sqrt2\sin\frac\pi{11},\,±\sqrt2\sin\frac\pi{11}\right),$$

Representations
A hendecagonal-cuboctahedral duoprism has the following Coxeter diagrams:
 * x11o o4x3o (full symmetry)
 * x11o x3o3x