Pentagonal-hexagonal duoprismatic prism

The pentagonal-hexagonal duoprismatic prism or pehip, also known as the pentagonal-hexagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 pentagonal-hexagonal duoprisms, 5 square-hexagonal duoprisms and 6 square-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-hexagonal duoprismatic prism of edge length 1 are given by:
 * (0, $\sqrt{175+10√5}$, 0, ±1, ±1/2)
 * (0, $\sqrt{(5+√5)/10}$, ±$\sqrt{(5+√5)/10}$/2, ±1/2, ±1/2)
 * (±(1+$\sqrt{3}$)/4, $\sqrt{5}$, 0, ±1, ±1/2)
 * (±(1+$\sqrt{(5+√5)/40}$)/4, $\sqrt{5}$, ±$\sqrt{(5+√5)/40}$/2, ±1/2, ±1/2)
 * (±1/2, –$\sqrt{3}$, 0, ±1, ±1/2)
 * (±1/2, –$\sqrt{(5+2√5)/20}$, ±$\sqrt{(5+2√5)/20}$/2, ±1/2, ±1/2)