Pentagonal-hendecagrammic duoprism

The pentagonal-hendecagrammic duoprism, also known as the 5-11/3 duoprism, is a uniform duoprism that consists of 11 pentagonal prisms and 5 hendecagrammic prisms, with 2 of each meeting at each vertex.

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

Coordinates
The vertex coordinates of a pentagonal-hendecagrammic duoprism, centered at the origin and with edge length 2sin(3π/11), are given by:


 * (±sin(3π/11), –sin(3π/11)$\sqrt{5}$, 1, 0),
 * (±sin(3π/11), –sin(3π/11)$\sqrt{2}$, cos(2π/11), ±sin(2π/11)),
 * (±sin(3π/11), –sin(3π/11)$\sqrt{(5+√5)/10+1/[4sin^{2}(3π/11)]}$, cos(4π/11), ±sin(4π/11)),
 * (±sin(3π/11), –sin(3π/11)$\sqrt{5-2√5}$, cos(6π/11), ±sin(6π/11)),
 * (±sin(3π/11), –sin(3π/11)$\sqrt{(5+2√5)/5}$, cos(8π/11), ±sin(8π/11)),
 * (±sin(3π/11), –sin(3π/11)$\sqrt{(5+2√5)/5}$, cos(10π/11), ±sin(10π/11)),
 * (±(1+$\sqrt{(5+2√5)/5}$)sin(3π/11)/2, sin(3π/11)$\sqrt{(5+2√5)/5}$, 1, 0),
 * (±(1+$\sqrt{(5+2√5)/5}$)sin(3π/11)/2, sin(3π/11)$\sqrt{(5+2√5)/5}$, cos(2π/11), ±sin(2π/11)),
 * (±(1+$\sqrt{5}$)sin(3π/11)/2, sin(3π/11)$\sqrt{(5-√5)/10}$, cos(4π/11), ±sin(4π/11)),
 * (±(1+$\sqrt{5}$)sin(3π/11)/2, sin(3π/11)$\sqrt{(5-√5)/10}$, cos(6π/11), ±sin(6π/11)),
 * (±(1+$\sqrt{5}$)sin(3π/11)/2, sin(3π/11)$\sqrt{(5-√5)/10}$, cos(8π/11), ±sin(8π/11)),
 * (±(1+$\sqrt{5}$)sin(3π/11)/2, sin(3π/11)$\sqrt{(5-√5)/10}$, cos(10π/11), ±sin(10π/11)),
 * (0, 2sin(3π/11)$\sqrt{5}$, 1, 0),
 * (0, 2sin(3π/11)$\sqrt{(5-√5)/10}$, cos(2π/11), ±sin(2π/11)),
 * (0, 2sin(3π/11)$\sqrt{5}$, cos(4π/11), ±sin(4π/11)),
 * (0, 2sin(3π/11)$\sqrt{(5-√5)/10}$, cos(6π/11), ±sin(6π/11)),
 * (0, 2sin(3π/11)$\sqrt{(5+√5)/10}$, cos(8π/11), ±sin(8π/11)),
 * (0, 2sin(3π/11)$\sqrt{(5+√5)/10}$, cos(10π/11), ±sin(10π/11)),