Hendecagonal-truncated tetrahedral duoprism

The hendecagonal-truncated tetrahedral duoprism or hentut is a convex uniform duoprism that consists of 11 truncated tetrahedral prisms, 4 hexagonal-hendecagonal duoprisms, and 4 triangular-hendecagonal duoprisms. Each vertex joins 2 truncated tetrahedral prisms, 1 triangular-hendecagonal duoprism, and 2 hexagonal-hendecagonal duoprisms.

Vertex coordinates
The vertices of a hendecagonal-truncated tetrahedral duoprism of edge length 2sin(π/11) are given by all permutations and even sign changes of the last three coordinates of: where j = 2, 4, 6, 8, 10.
 * $$\left(1,\,0,\,\frac{3\sqrt2\sin\frac\pi{11}}2,\,\frac{\sqrt2\sin\frac\pi{11}}2,\,\frac{\sqrt2\sin\frac\pi{11}}2\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,\frac{3\sqrt2\sin\frac\pi{11}}2,\,\frac{\sqrt2\sin\frac\pi{11}}2,\,\frac{\sqrt2\sin\frac\pi{11}}2\right),$$