Great hendecagrammic-dodecagrammic duoprism

The great hendecagrammic-dodecagrammic duoprism, also known as the 11/4-12/5 duoprism, is a uniform duoprism that consists of 12 great hendecagrammic prisms and 11 dodecagrammic prisms, with 2 of each meeting at each vertex.

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