Pentagonal duoprismatic prism

The pentagonal duoprismatic prism or pepip, also known as the pentagonal-pentagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 pentagonal duoprisms and 10 square-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal duoprismatic prism of edge length 1 are given by:
 * (0, $\sqrt{125+20√5}$/10, 0, $\sqrt{50+10√5}$/10, ±1/2)
 * (0, $\sqrt{50+10√5}$/10, ±(1+$\sqrt{50+10√5}$)/4, $\sqrt{5}$/20, ±1/2)
 * (0, $\sqrt{50–10√5}$/10, ±1/2, –$\sqrt{50+10√5}$/10, ±1/2)
 * (±(1+$\sqrt{25+10√5}$)/4, $\sqrt{5}$/20, 0, $\sqrt{50–10√5}$/10, ±1/2)
 * (±(1+$\sqrt{50+10√5}$)/4, $\sqrt{5}$/20, ±(1+$\sqrt{50–10√5}$)/4, $\sqrt{5}$/20, ±1/2)
 * (±(1+$\sqrt{50–10√5}$)/4, $\sqrt{5}$/20, ±1/2, –$\sqrt{50–10√5}$/10, ±1/2)
 * (±1/2, –$\sqrt{25+10√5}$/10, 0, $\sqrt{25+10√5}$/10, ±1/2)
 * (±1/2, –$\sqrt{50+10√5}$/10, ±(1+$\sqrt{25+10√5}$)/4, $\sqrt{5}$/20, ±1/2)
 * (±1/2, –$\sqrt{50–10√5}$/10, ±1/2, –$\sqrt{25+10√5}$/10, ±1/2)