Hexagonal-hendecagrammic duoprism

The hexagonal-hendecagrammic duoprism, also known as the 6-11/3 duoprism, is a uniform duoprism that consists of 11 hexagonal prisms and 6 hendecagrammic prisms, with 2 of each at each vertex.

The name can also refer to the hexagonal-small hendecagrammic duoprism, hexagonal-great hendecagrammic duoprism, or the hexagonal-grand hendecagrammic duoprism.

Vertex coordinates
The coordinates of a hexagonal-hendecagrammic duoprism, centered at the origin and with edge length 2sin(3π/11), are given by: where j = 2, 4, 6, 8, 10.
 * $$\left(±2\sin\frac{3\pi}{11},\,0,\,1,\,0\right),$$
 * $$\left(±2\sin\frac{3\pi}{11},\,0,\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right)\right),$$
 * $$\left(±\sin\frac{3\pi}{11},\,±\sqrt3\sin\frac{3\pi}{11},\,1,\,0\right),$$
 * $$\left(±\sin\frac{3\pi}{11},\,±\sqrt3\sin\frac{3\pi}{11},\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right)\right),$$

Representations
A hexagonal-hendecagrammic duoprism has the following Coxeter diagrams:
 * x6o x11/3o (full symmetry)
 * x3x x11/3o (A2×I2(11) symmetry, hexagons as ditrigons)