Hendecagonal-dodecagrammic duoprism

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

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


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