Hendecagonal-dodecahedral duoprism

The hendecagonal-dodecahedral duoprism or hendoe is a convex uniform duoprism that consists of 11 dodecahedral prisms and 12 pentagonal-hendecagonal duoprisms. Each vertex joins 2 dodecahedral prisms and 3 pentagonal-hendecagonal duoprisms.

Vertex coordinates
The vertices of a hendecagonal-dodecahedral duoprism of edge length 2sin(π/11) are given by: as well as all even permutations of the last three coordinates of: where j = 2, 4, 6, 8, 10.
 * $$\left(1,\,0,\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}{2}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}{2},\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}{2}\right),$$
 * $$\left(1,\,0,\,0,\,±\sin\frac\pi{11},\,±\frac{(3+\sqrt5)\sin\frac\pi{11}}{2}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,0,\,±\sin\frac\pi{11},\,±\frac{(3+\sqrt5)\sin\frac\pi{11}}{2}\right),$$