Hexagonal-great hendecagrammic duoprism

The hexagonal-great hendecagrammic duoprism, also known as the 6-11/4 duoprism, is a uniform duoprism that consists of 11 hexagonal prisms and 6 great hendecagrammic prisms, with 2 of each meeting at each vertex.

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