Hendecagonal-cubic duoprism

The hendecagonal-cubic duoprism or hencube, also known as the square-hendecagonal duoprismatic prism, is a convex uniform duoprism that consists of 11 tesseracts and 6 square-hendecagonal duoprisms. Each vertex joins 2 tesseracts and 3 square-hendecagonal duoprisms. It is a duoprism based on a square and a hendecagonal prism, which makes it a convex segmentoteron.

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

Representations
A hendecagonal-cubic duoprism has the following Coxeter diagrams:
 * x11o x4o3o (full symmetry)
 * x x4o x11o (square-hendecagonal duoprismatic prism)
 * x x x x11o (hendecagonal prismatic prismatic prism)