Pentagonal-hendecagonal duoprism

The pentagonal-hendecagonal duoprism or pahendip, also known as the 5-11 duoprism, is a uniform duoprism that consists of 5 hendecagonal prisms, 11 pentagonal prisms and 55 vertices.

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