Hexagonal-hendecagonal duoprismatic prism

The hexagonal-hendecagonal duoprismatic prism or hahenip, also known as the hexagonal-hendecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 hexagonal-hendecagonal duoprisms, 6 square-hendecagonal duoprisms and 11 square-hexagonal duoprisms. Each vertex joins 2 square-hexagonal duoprisms, 2 square-hendecagonal duoprisms, and 1 hexagonal-hendecagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a hexagonal-hendecagonal duoprismatic prism of edge length 2sin(π/11) are given by: where j = 2, 4, 6, 8, 10.
 * $$\left(0,\,±2\sin\frac\pi{11},\,1,\,0,\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt3\sin\frac\pi{11},\,±\sin\frac\pi{11},\,1,\,0,\,±\sin\frac\pi{11}\right),$$
 * $$\left(0,\,±2\sin\frac\pi{11},\,\cos\frac{j\pi}{11},\,±\sin\frac{j\pi}{11},\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt3\sin\frac\pi{11},\,±\sin\frac\pi{11},\,\cos\frac{j\pi}{11},\,±\sin\frac{j\pi}{11},\,±\sin\frac\pi{11}\right),$$

Representations
A hexagonal-hendecagonal duoprismatic prism has the following Coxeter diagrams:
 * x x6o x11o (full symmetry)
 * x x3x x11o (hexagons as ditrigons)
 * xx6oo xx11oo&#x (hexagonal-hendecagonal duoprism atop hexagonal-hendecagonal duoprism)
 * xx3xx xx11oo&#x