Octagonal-hendecagrammic duoprism

The octagonal-hendecagrammic duoprism, also known as the 8/11-3 duoprism, is a uniform duoprism that consists of 11 octagonal prisms and 8 hendecagrammic prisms, with 2 of each meeting at each vertex.

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

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


 * (±sin(3π/11)(1+$\sqrt{2+√2}$), ±sin(3π/11), 1, 0),
 * (±sin(3π/11)(1+$\sqrt{2}$), ±sin(3π/11), cos(2π/9), ±sin(2π/9)),
 * (±sin(3π/11)(1+$\sqrt{(2+√2)/2+1/[4sin^{2}(3π/11)]}$), ±sin(3π/11), cos(4π/9), ±sin(4π/9)),
 * (±sin(3π/11)(1+$\sqrt{2}$), ±sin(3π/11), –1/2, ±$\sqrt{2}$/2),
 * (±sin(3π/11)(1+$\sqrt{2}$), ±sin(3π/11), cos(8π/9), ±sin(8π/9)),
 * (±sin(3π/11), ±sin(3π/11)(1+$\sqrt{2}$), 1, 0),
 * (±sin(3π/11), ±sin(3π/11)(1+$\sqrt{2}$), cos(2π/9), ±sin(2π/9)),
 * (±sin(3π/11), ±sin(3π/11)(1+$\sqrt{3}$), cos(4π/9), ±sin(4π/9)),
 * (±sin(3π/11), ±sin(3π/11)(1+$\sqrt{2}$), –1/2, ±$\sqrt{2}$/2),
 * (±sin(3π/11), ±sin(3π/11)(1+$\sqrt{2}$), cos(8π/9), ±sin(8π/9)),