Hendecagonal-truncated icosahedral duoprism

The hendecagonal-truncated icosahedral duoprism or henti is a convex uniform duoprism that consists of 11 truncated icosahedral prisms, 20 hexagonal-hendecagonal duoprisms, and 12 pentagonal-hendecagonal duoprisms. Each vertex joins 2 truncated icosahedral prisms, 1 pentagonal-hendecagonal duoprism, and 2 hexagonal-hendecagonal duoprisms.

Vertex coordinates
The vertices of a hendecagonal-truncated 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.
 * $$\left(1,\,0,\,0,\,±\sin\frac\pi{11},\,±3\frac{(1+\sqrt5)\sin\frac\pi{11}}2\right),$$
 * $$\left(1,\,0,\,±\sin\frac\pi{11},\,±\frac{(5+\sqrt5)\sin\frac\pi{11}}2,\,±(1+\sqrt5)\sin\frac\pi{11}\right),$$
 * $$\left(1,\,0,\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}2,\,±2\sin\frac\pi{11},\,±(2+\sqrt5)\sin\frac\pi{11}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,0,\,±\sin\frac\pi{11},\,±3\frac{(1+\sqrt5)\sin\frac\pi{11}}2\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,±\sin\frac\pi{11},\,±\frac{(5+\sqrt5)\sin\frac\pi{11}}2,\,±(1+\sqrt5)\sin\frac\pi{11}\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,±\frac{(1+\sqrt5)\sin\frac\pi{11}}2,\,±2\sin\frac\pi{11},\,±(2+\sqrt5)\sin\frac\pi{11}\right),$$