Decagonal-hendecagonal duoprism

The decagonal-hendecagonal duoprism or dahendip, also known as the 10-11 duoprism, is a uniform duoprism that consists of 10 hendecagonal prisms and 11 decagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of a decagonal-hendecagonal duoprism, centered at the origin and with edge length 2sin(π/11), are given by:
 * (±sin(π/11), ±sin(π/11)$\sqrt{(5+√5)/2}$, 1, 0),
 * (±sin(π/11), ±sin(π/11)$\sqrt{2}$, cos(2π/11), ±sin(2π/11)),
 * (±sin(π/11), ±sin(π/11)$\sqrt{5+2√5}$, cos(4π/11), ±sin(4π/11)),
 * (±sin(π/11), ±sin(π/11)$\sqrt{5+2√5}$, cos(6π/11), ±sin(6π/11)),
 * (±sin(π/11), ±sin(π/11)$\sqrt{5+2√5}$, cos(8π/11), ±sin(8π/11)),
 * (±sin(π/11), ±sin(π/11)$\sqrt{5+2√5}$, cos(10π/11), ±sin(10π/11)),
 * (±sin(π/11)(3+$\sqrt{5+2√5}$)/2, ±sin(π/11)$\sqrt{5+2√5}$, 1, 0),
 * (±sin(π/11)(3+$\sqrt{5}$)/2, ±sin(π/11)$\sqrt{(5+√5)/2}$, cos(2π/11), ±sin(2π/11)),
 * (±sin(π/11)(3+$\sqrt{5}$)/2, ±sin(π/11)$\sqrt{(5+√5)/2}$, cos(4π/11), ±sin(4π/11)),
 * (±sin(π/11)(3+$\sqrt{5}$)/2, ±sin(π/11)$\sqrt{(5+√5)/2}$, cos(6π/11), ±sin(6π/11)),
 * (±sin(π/11)(3+$\sqrt{5}$)/2, ±sin(π/11)$\sqrt{(5+√5)/2}$, cos(8π/11), ±sin(8π/11)),
 * (±sin(π/11)(3+$\sqrt{5}$)/2, ±sin(π/11)$\sqrt{(5+√5)/2}$, cos(10π/11), ±sin(10π/11)),
 * (±sin(π/11)(1+$\sqrt{5}$), 0, 1, 0),
 * (±sin(π/11)(1+$\sqrt{(5+√5)/2}$), 0, cos(2π/11), ±sin(2π/11)),
 * (±sin(π/11)(1+$\sqrt{5}$), 0, cos(4π/11), ±sin(4π/11)),
 * (±sin(π/11)(1+$\sqrt{5}$), 0, cos(6π/11), ±sin(6π/11)),
 * (±sin(π/11)(1+$\sqrt{5}$), 0, cos(8π/11), ±sin(8π/11)),
 * (±sin(π/11)(1+$\sqrt{5}$), 0, cos(10π/11), ±sin(10π/11)).

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


 * x10 x11o (full symmetry)
 * x5x x11o (decagons as dipentagons)