Heptagonal-hendecagonal duoprismatic prism

The heptagonal-hendecagonal duoprismatic prism or hehenip, also known as the heptagonal-hendecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 heptagonal-hendecagonal duoprisms, 7 square-hendecagonal duoprisms and 11 square-heptagonal duoprisms. Each vertex joins 2 square-heptagonal duoprisms, 2 square-hendecagonal duoprisms, and 1 heptagonal-hendecagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a heptagonal-hendecagonal duoprismatic prism of edge length 4sin(π/7)sin(π/11) are given by: where j = 2, 4, 6 and k = 2, 4, 6, 8, 10.
 * $$\left(2\sin\frac\pi{11},\,0,\,2\sin\frac\pi7,\,0,\,±2\sin\frac\pi7\sin\frac\pi{11}\right),$$
 * $$\left(2\sin\frac\pi{11},\,0,\,2\cos\left(\frac{k\pi}{11}\right)\sin\frac\pi7,\,±2\sin\left(\frac{k\pi}{11}\right)\sin\frac\pi7,\,±2\sin\frac\pi7\sin\frac\pi{11}\right),$$
 * $$\left(2\cos\left(\frac{j\pi}7\right)\sin\frac\pi{11},\,±2\sin\left(\frac{j\pi}7\right)\sin\frac\pi{11},\,2\sin\frac\pi7,\,0,\,±2\sin\frac\pi7\sin\frac\pi{11}\right),$$
 * $$\left(2\cos\left(\frac{j\pi}7\right)\sin\frac\pi{11},\,±2\sin\left(\frac{j\pi}7\right)\sin\frac\pi{11},\,2\cos\left(\frac{k\pi}{11}\right)\sin\frac\pi7,\,±2\sin\left(\frac{k\pi}{11}\right)\sin\frac\pi7,\,±2\sin\frac\pi7\sin\frac\pi{11}\right),$$

Representations
A heptagonal-hendecagonal duoprismatic prism has the following Coxeter diagrams:
 * x x7o x11o (full symmetry)
 * xx7oo xx11oo&#x (heptagonal-hendecagonal duoprism atop heptagonal-hendecagonal duoprism)