Triangular-hendecagonal duoprismatic prism

The triangular-hendecagonal duoprismatic prism or trahenip, also known as the triangular-hendecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 triangular-hendecagonal duoprisms, 3 square-hendecagonal duoprisms and 11 triangular-square duoprisms. Each vertex joins 2 triangular-square duoprisms, 2 square-hendecagonal duoprisms, and 1 triangular-hendecagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

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

Representations
A triangular-hendecagonal duoprismatic prism has the following Coxeter diagrams:
 * x x3o x11o (full symmetry)
 * xx3oo xx11oo&#x (triangular-hendecagonal duoprism atop triangular-hendecagonal duoprism)
 * ox xx xx11oo&#x (hendecagonal prism atop square-hendecagonal duoprism)