Hendecagonal-hexagonal antiprismatic duoprism

The hendecagonal-hexagonal antiprismatic duoprism or henhap is a convex uniform duoprism that consists of 11 hexagonal antiprismatic prisms, 2 hexagonal-hendecagonal duoprisms and 12 triangular-hendecagonal duoprisms. Each vertex joins 2 hexagonal antiprismatic prisms, 3 triangular-hendecagonal duoprisms, and 1 hexagonal-hendecagonal duoprism.

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

Representations
A hendecagonal-hexagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x11o s2s12o (full symmetry; hexagonal antiprisms as alternated dodecagonal prisms)
 * x11o s2s6s (hexagonal antiprisms as alternated dihexagonal prisms)