Pentagonal-enneagonal duoprism

The pentagonal-enneagonal duoprism or peendip, also known as the 5-9 duoprism, is a uniform duoprism that consists of 5 enneagonal prisms, 9 pentagonal prisms and 45 vertices.

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