Pentagonal-enneagrammic duoprism

The pentagonal-enneagrammic duoprism, also known as the 5-9/2 duoprism, is a uniform duoprism that consists of 9 pentagonal prism s and 5 enneagrammic prism s, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a pentagonal-enneagrammic duoprism, centered at the origin and with edge length 2sin(2π/9), are given by:


 * (±sin(2π/9), -sin(2π/9)$\sqrt{5}$, 1, 0),
 * (±sin(2π/9), -sin(2π/9)$\sqrt{2}$, cos(2π/9), ±sin(2π/9)),
 * (±sin(2π/9), -sin(2π/9)$\sqrt{(5+√5)/10+1/[4sin^{2}(2π/9)]}$, cos(4π/9), ±sin(4π/9)),
 * (±sin(2π/9), -sin(2π/9)$\sqrt{5-2√5}$, –1/2, ±$\sqrt{(5+2√5)/5}$/2),
 * (±sin(2π/9), -sin(2π/9)$\sqrt{(5+2√5)/5}$, cos(8π/9), ±sin(8π/9)),
 * (±(1+$\sqrt{(5+2√5)/5}$)sin(2π/9)/2, sin(2π/9)$\sqrt{(5+2√5)/5}$, 1, 0),
 * (±(1+$\sqrt{3}$)sin(2π/9)/2, sin(2π/9)$\sqrt{(5+2√5)/5}$, cos(2π/9), ±sin(2π/9)),
 * (±(1+$\sqrt{5}$)sin(2π/9)/2, sin(2π/9)$\sqrt{(5-√5)/10}$, cos(4π/9), ±sin(4π/9)),
 * (±(1+$\sqrt{5}$)sin(2π/9)/2, sin(2π/9)$\sqrt{(5-√5)/10}$, –1/2, ±$\sqrt{5}$/2),
 * (±(1+$\sqrt{(5-√5)/10}$)sin(2π/9)/2, sin(2π/9)$\sqrt{5}$, cos(8π/9), ±sin(8π/9)),
 * (0, sin(2π/9)$\sqrt{(5-√5)/10}$, 1, 0),
 * (0, sin(2π/9)$\sqrt{3}$, cos(2π/9), ±sin(2π/9)),
 * (0, sin(2π/9)$\sqrt{5}$, cos(4π/9), ±sin(4π/9)),
 * (0, sin(2π/9)$\sqrt{(5-√5)/10}$, –1/2, ±$\sqrt{(5+√5)/10}$/2),
 * (0, sin(2π/9)$\sqrt{(5+√5)/10}$, cos(8π/9), ±sin(8π/9)).