Decagrammic-grand hendecagrammic duoprism

The decagrammic-grand hendecagrammic duoprism, also known as the 10/3-11/5 duoprism, is a uniform duoprism that consists of 11 decagrammic prisms and 10 grand hendecagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a decagrammic-grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by:
 * (±sin(5π/11), ±sin(5π/11)$\sqrt{(5–√5)/2}$, 1, 0),
 * (±sin(5π/11), ±sin(5π/11)$\sqrt{2}$, cos(2π/11), ±sin(2π/11)),
 * (±sin(5π/11), ±sin(5π/11)$\sqrt{5–2√5}$, cos(4π/11), ±sin(4π/11)),
 * (±sin(5π/11), ±sin(5π/11)$\sqrt{5–2√5}$, cos(6π/11), ±sin(6π/11)),
 * (±sin(5π/11), ±sin(5π/11)$\sqrt{5–2√5}$, cos(8π/11), ±sin(8π/11)),
 * (±sin(5π/11), ±sin(5π/11)$\sqrt{5–2√5}$, cos(10π/11), ±sin(10π/11)),
 * (±sin(5π/11)(3–$\sqrt{5–2√5}$)/2, ±sin(5π/11)$\sqrt{5–2√5}$, 1, 0),
 * (±sin(5π/11)(3–$\sqrt{5}$)/2, ±sin(5π/11)$\sqrt{(5–√5)/2}$, cos(2π/11), ±sin(2π/11)),
 * (±sin(5π/11)(3–$\sqrt{5}$)/2, ±sin(5π/11)$\sqrt{(5–√5)/2}$, cos(4π/11), ±sin(4π/11)),
 * (±sin(5π/11)(3–$\sqrt{5}$)/2, ±sin(5π/11)$\sqrt{(5–√5)/2}$, cos(6π/11), ±sin(6π/11)),
 * (±sin(5π/11)(3–$\sqrt{5}$)/2, ±sin(5π/11)$\sqrt{(5–√5)/2}$, cos(8π/11), ±sin(8π/11)),
 * (±sin(5π/11)(3–$\sqrt{5}$)/2, ±sin(5π/11)$\sqrt{(5–√5)/2}$, cos(10π/11), ±sin(10π/11)),
 * (±sin(5π/11)($\sqrt{5}$–1), 0, 1, 0),
 * (±sin(5π/11)($\sqrt{(5–√5)/2}$–1), 0, cos(2π/11), ±sin(2π/11)),
 * (±sin(5π/11)($\sqrt{5}$–1), 0, cos(4π/11), ±sin(4π/11)),
 * (±sin(5π/11)($\sqrt{5}$–1), 0, cos(6π/11), ±sin(6π/11)),
 * (±sin(5π/11)($\sqrt{5}$–1), 0, cos(8π/11), ±sin(8π/11)),
 * (±sin(5π/11)($\sqrt{5}$–1), 0, cos(10π/11), ±sin(10π/11)).