Pentagonal-hendecagonal duoprismatic prism

The pentagonal-hendecagonal duoprismatic prism or pehenip, also known as the pentagonal-hendecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 pentagonal-hendecagonal duoprisms, 5 square-hendecagonal duoprisms and 11 square-pentagonal duoprisms. Each vertex joins 2 square-pentagonal duoprisms, 2 square-hendecagonal duoprisms, and 1 pentagonal-hendecagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a pentagonal-hendecagonal duoprismatic prism of edge length 2sin(π/11) are given by: where j = 2, 4, 6, 8, 10.
 * $$\left(0,\,2\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi{11},\,1,\,0,\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\frac{(1+\sqrt5)\sin\frac\pi{11}}2,\,\sqrt{\frac{5-\sqrt5}{10}}\sin\frac\pi{11},\,1,\,0,\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sin\frac\pi{11},\,-\sqrt{\frac{5+2\sqrt5}5}\sin\frac\pi{11},\,1,\,0,\,±\sin\frac\pi{11}\right),$$
 * $$\left(0,\,2\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi{11},\,\cos\frac{j\pi}{11},\,±\sin\frac{j\pi}{11},\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\frac{(1+\sqrt5)\sin\frac\pi{11}}2,\,\sqrt{\frac{5-\sqrt5}{10}}\sin\frac\pi{11},\,\cos\frac{j\pi}{11},\,±\sin\frac{j\pi}{11},\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sin\frac\pi{11},\,-\sqrt{\frac{5+2\sqrt5}5}\sin\frac\pi{11},\,\cos\frac{j\pi}{11},\,±\sin\frac{j\pi}{11},\,±\sin\frac\pi{11}\right),$$

Representations
A pentagonal-hendecagonal duoprismatic prism has the following Coxeter diagrams:
 * x x5o x11o (full symmetry)
 * xx5oo xx11oo&#x (pentagonal-hendecagonal duoprism atop pentagonal-hendecagonal duoprism)