Decagonal-hendecagrammic duoprism

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

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

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


 * (±sin(3π/11), ±sin(3π/11)$\sqrt{(5+√5)/2}$, 1, 0),
 * (±sin(3π/11), ±sin(3π/11)$\sqrt{2}$, cos(2π/11), ±sin(2π/11)),
 * (±sin(3π/11), ±sin(3π/11)$\sqrt{(3+√5)/2+1/[4sin^{2}(3π/11)]}$, cos(4π/11), ±sin(4π/11)),
 * (±sin(3π/11), ±sin(3π/11)$\sqrt{5+2√5}$, cos(6π/11), ±sin(6π/11)),
 * (±sin(3π/11), ±sin(3π/11)$\sqrt{5+2√5}$, cos(8π/11), ±sin(8π/11)),
 * (±sin(3π/11), ±sin(3π/11)$\sqrt{5+2√5}$, cos(10π/11), ±sin(10π/11)),
 * (±sin(3π/11)(3+$\sqrt{5+2√5}$)/2, ±sin(3π/11)$\sqrt{5+2√5}$, 1, 0),
 * (±sin(3π/11)(3+$\sqrt{5+2√5}$)/2, ±sin(3π/11)$\sqrt{5+2√5}$, cos(2π/11), ±sin(2π/11)),
 * (±sin(3π/11)(3+$\sqrt{5}$)/2, ±sin(3π/11)$\sqrt{(5+√5)/2}$, cos(4π/11), ±sin(4π/11)),
 * (±sin(3π/11)(3+$\sqrt{5}$)/2, ±sin(3π/11)$\sqrt{(5+√5)/2}$, cos(6π/11), ±sin(6π/11)),
 * (±sin(3π/11)(3+$\sqrt{5}$)/2, ±sin(3π/11)$\sqrt{(5+√5)/2}$, cos(8π/11), ±sin(8π/11)),
 * (±sin(3π/11)(3+$\sqrt{5}$)/2, ±sin(3π/11)$\sqrt{(5+√5)/2}$, cos(10π/11), ±sin(10π/11)),
 * (±sin(3π/11)(1+$\sqrt{5}$), 0, 1, 0),
 * (±sin(3π/11)(1+$\sqrt{(5+√5)/2}$), 0, cos(2π/11), ±sin(2π/11)),
 * (±sin(3π/11)(1+$\sqrt{5}$), 0, cos(4π/11), ±sin(4π/11)),
 * (±sin(3π/11)(1+$\sqrt{(5+√5)/2}$), 0, cos(6π/11), ±sin(6π/11)),
 * (±sin(3π/11)(1+$\sqrt{5}$), 0, cos(8π/11), ±sin(8π/11)),
 * (±sin(3π/11)(1+$\sqrt{5}$), 0, cos(10π/11), ±sin(10π/11)).