Hendecagonal-dodecagonal duoprismatic prism

The hendecagonal-dodecagonal duoprismatic prism or hentwip, also known as the hendecagonal-dodecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 hendecagonal-dodecagonal duoprisms, 11 square-dodecagonal duoprisms, and 12 square-hendecagonal duoprisms. Each vertex joins 2 square-hendecagonal duoprisms, 2 square-dodecagonal duoprisms, and 1 hendecagonal-dodecagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

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

Representations
A hendecagonal-dodecagonal duoprismatic prism has the following Coxeter diagrams:
 * x x11o x12o (full symmetry)
 * x x11o x6x (dodecagons as dihexagons)
 * xx11oo xx12oo&#x (hendecagonal-dodecagonal duoprism atop hendecagonal-dodecagonal duoprism)
 * xx11oo xx6xx&#x