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 meeting at each vertex.

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

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


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