Decagonal-hendecagonal duoprismatic prism

The decagonal-hendecagonal duoprismatic prism or dahenip, also known as the decagonal-hendecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 decagonal-hendecagonal duoprisms, 10 square-hendecagonal duoprisms, and 11 square-decagonal duoprisms. Each vertex joins 2 square-decagonal duoprisms, 2 square-hendecagonal duoprisms, and 1 decagonal-hendecagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of an decagonal-hendecagonal duoprismatic prism of edge length 2sin(π/11) are given by: where j = 2, 4, 6, 8, 10.
 * $$\left(0,\,±(1+\sqrt5)\sin\frac\pi{11},\,0,\,1,\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}2}\sin\frac\pi{11},\,±\frac{(3+\sqrt5)\sin\frac\pi{11}}2,\,0,\,1,\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt{5+2\sqrt5}\sin\frac\pi{11},\,±\sin\frac\pi{11},\,0,\,1,\,±\sin\frac\pi{11}\right),$$
 * $$\left(0,\,±(1+\sqrt5)\sin\frac\pi{11},\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}2}\sin\frac\pi{11},\,±\frac{(3+\sqrt5)\sin\frac\pi{11}}2,\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt{5+2\sqrt5}\sin\frac\pi{11},\,±\sin\frac\pi{11},\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,±\sin\frac\pi{11}\right),$$
 * $$\left(0,\,±(1+\sqrt5)\sin\frac\pi{11},\,-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}2}\sin\frac\pi{11},\,±\frac{(3+\sqrt5)\sin\frac\pi{11}}2,\,-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac\pi{11}\right),$$
 * $$\left(±\sqrt{5+2\sqrt5}\sin\frac\pi{11},\,±\sin\frac\pi{11},\,-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac\pi{11}\right),$$

Representations
A decagonal-hendecagonal duoprismatic prism has the following Coxeter diagrams:
 * x x10o x11o (full symmetry)
 * x x5x x11o (decagons as dipentagons)
 * xx10oo xx11oo&#x (decagonal-hendecagonal duoprism atop decagonal-hendecagonal duoprism)
 * xx5xx xx11oo&#x