Hendecagonal-icosahedral duoprism

The hendecagonal-icosahedral duoprism or henike is a convex uniform duoprism that consists of 11 icosahedral prisms and 20 triangular-hendecagonal duoprisms. Each vertex joins 2 icosahedral prisms and 5 triangular-hendecagonal duoprisms.

Vertex coordinates
The vertices of a hendecagonal-icosahedral duoprism of edge length 2sin(π/11) are given by all even permutations of the last three coordinates of: where j = 2, 4, 6, 8, 10.
 * $$\left(1,\,0,\,0,\,±\sin\frac\pi{11},\,±\frac{(1+\sqrt{5})\sin\frac\pi{11}}2\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,0,\,±\sin\frac\pi{11},\,±\frac{(1+\sqrt{5})\sin\frac\pi{11}}2\right),$$