Hendecagonal-dodecagonal duoprism

The hendecagonal-dodecagonal duoprism or hentwadip, also known as the 11-12 duoprism, is a uniform duoprism that consists of 11 dodecagonal prisms and 12 hendecagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of a hendecagonal-dodecagonal duoprism, centered at the origin and with edge length 2sin(π/11), are given by:
 * (1, 0, ±sin(π/11)(1+$\sqrt{2}$), ±sin(π/11)(1+$\sqrt{6}$)),
 * (1, 0, ±sin(π/11), ±sin(π/11)(2+$\sqrt{2}$)),
 * (1, 0, ±sin(π/11)(2+$\sqrt{3}$), ±sin(π/11)),
 * (cos(2π/11), ±sin(2π/11), ±sin(π/11)(1+$\sqrt{3}$), ±sin(π/11)(1+$\sqrt{3}$)),
 * (cos(2π/11), ±sin(2π/11), ±sin(π/11), ±sin(π/11)(2+$\sqrt{3}$)),
 * (cos(2π/11), ±sin(2π/11), ±sin(π/11)(2+$\sqrt{3}$), ±sin(π/11)),
 * (cos(4π/11), ±sin(4π/11), ±sin(π/11)(1+$\sqrt{3}$), ±sin(π/11)(1+$\sqrt{3}$)),
 * (cos(4π/11), ±sin(4π/11), ±sin(π/11), ±sin(π/11)(2+$\sqrt{3}$)),
 * (cos(4π/11), ±sin(4π/11), ±sin(π/11)(2+$\sqrt{3}$), ±sin(π/11)),
 * (cos(6π/11), ±sin(6π/11), ±sin(π/11)(1+$\sqrt{3}$), ±sin(π/11)(1+$\sqrt{3}$)),
 * (cos(6π/11), ±sin(6π/11), ±sin(π/11), ±sin(π/11)(2+$\sqrt{3}$)),
 * (cos(6π/11), ±sin(6π/11), ±sin(π/11)(2+$\sqrt{3}$), ±sin(π/11)),
 * (cos(8π/11), ±sin(8π/11), ±sin(π/11)(1+$\sqrt{3}$), ±sin(π/11)(1+$\sqrt{3}$)),
 * (cos(8π/11), ±sin(8π/11), ±sin(π/11), ±sin(π/11)(2+$\sqrt{3}$)),
 * (cos(8π/11), ±sin(8π/11), ±sin(π/11)(2+$\sqrt{3}$), ±sin(π/11)),
 * (cos(10π/11), ±sin(10π/11), ±sin(π/11)(1+$\sqrt{3}$), ±sin(π/11)(1+$\sqrt{3}$)),
 * (cos(10π/11), ±sin(10π/11), ±sin(π/11), ±sin(π/11)(2+$\sqrt{3}$)),
 * (cos(10π/11), ±sin(10π/11), ±sin(π/11)(2+$\sqrt{3}$), ±sin(π/11)).

Representations
A hendecagonal-dodecagonal duoprism has the following Coxeter diagrams:


 * x11o x12o (full symmetry)
 * x6x x11o (dodecagons as dihexagons)