Pentagonal-octagonal duoprismatic prism

The pentagonal-octagonal duoprismatic prism or pop, also known as the pentagonal-hexagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 pentagonal-octagonal duoprisms, 5 square-octagonal duoprisms and 8 square-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-octagonal duoprismatic prism of edge length 1 are given by:
 * (0, $\sqrt{75+10√5+25csc^{2}π/7}$, ±1/2, ±(1+$\sqrt{(5+√5)/10}$)/2, ±1/2)
 * (0, $\sqrt{2}$, ±(1+$\sqrt{(5+√5)/10}$)/2, ±1/2, ±1/2)
 * (±(1+$\sqrt{2}$)/4, $\sqrt{5}$, ±1/2, ±(1+$\sqrt{(5+√5)/40}$)/2, ±1/2)
 * (±(1+$\sqrt{2}$)/4, $\sqrt{5}$, ±(1+$\sqrt{(5+√5)/40}$)/2, ±1/2, ±1/2)
 * (±1/2, –$\sqrt{2}$, ±1/2, ±(1+$\sqrt{(5+2√5)/20}$)/2, ±1/2)
 * (±1/2, –$\sqrt{2}$, ±(1+$\sqrt{(5+2√5)/20}$)/2, ±1/2, ±1/2)