Pentagonal-great enneagrammic duoprism

The pentagonal-great enneagrammic duoprism, also known as pagstedip or the 5-9/4 duoprism, is a uniform duoprism that consists of 9 pentagonal prisms and 5 great enneagrammic prisms, with two of each meeting at each vertex.

Vertex coordinates
The vertex coordinates of a pentagonal-great enneagrammic duoprism, centered at the origin and with edge length 2sin(4π/9), are given by:
 * (±sin(4π/9), –sin(4π/9)$\sqrt{5}$, 1, 0),
 * (±sin(4π/9), –sin(4π/9)$\sqrt{2}$, cos(2π/9), ±sin(2π/9)),
 * (±sin(4π/9), –sin(4π/9)$\sqrt{(5+2√5)/5}$, cos(4π/9), ±sin(4π/9)),
 * (±sin(4π/9), –sin(4π/9)$\sqrt{(5+2√5)/5}$, –1/2, ±$\sqrt{(5+2√5)/5}$/2),
 * (±sin(4π/9), –sin(4π/9)$\sqrt{(5+2√5)/5}$, cos(8π/9), ±sin(8π/9)),
 * (±(1+$\sqrt{3}$)sin(4π/9)/2, sin(4π/9)$\sqrt{(5+2√5)/5}$, 1, 0),
 * (±(1+$\sqrt{5}$)sin(4π/9)/2, sin(4π/9)$\sqrt{(5–√5)/10}$, cos(2π/9), ±sin(2π/9)),
 * (±(1+$\sqrt{5}$)sin(4π/9)/2, sin(4π/9)$\sqrt{(5–√5)/10}$, cos(4π/9), ±sin(4π/9)),
 * (±(1+$\sqrt{5}$)sin(4π/9)/2, sin(4π/9)$\sqrt{(5–√5)/10}$, –1/2, ±$\sqrt{5}$/2),
 * (±(1+$\sqrt{(5–√5)/10}$)sin(4π/9)/2, sin(4π/9)$\sqrt{3}$, cos(8π/9), ±sin(8π/9)),
 * (0, 2sin(4π/9)$\sqrt{5}$, 1, 0),
 * (0, 2sin(4π/9)$\sqrt{(5–√5)/10}$, cos(2π/9), ±sin(2π/9)),
 * (0, 2sin(4π/9)$\sqrt{(5+√5)/10}$, cos(4π/9), ±sin(4π/9)),
 * (0, 2sin(4π/9)$\sqrt{(5+√5)/10}$, –1/2, ±$\sqrt{(5+√5)/10}$/2),
 * (0, 2sin(4π/9)$\sqrt{(5+√5)/10}$, cos(8π/9), ±sin(8π/9)).