Hendecagonal-small rhombicuboctahedral duoprism

The hendecagonal-small rhombicuboctahedral duoprism or hensirco is a convex uniform duoprism that consists of 11 small rhombicuboctahedral prisms, 18 square-hendecagonal duoprisms of two kinds and 8 triangular-hendecagonal duoprisms. Each vertex joins 2 small rhombicuboctahedral prisms, 1 triangular-hendecagonal duoprism, and 3 square-hendecagonal duoprisms.

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