Pentagonal-dodecagonal duoprismatic prism

The pentagonal-dodecagonal duoprismatic prism or petwip, also known as the pentagonal-dodecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 pentagonal-dodecagonal duoprisms, 5 square-dodecagonal duoprisms and 12 square-pentagonal duoprisms.

Vertex coordinates
The vertices of a pentagonal-dodecagonal duoprismatic prism of edge length 1 are given by:
 * (0, $\sqrt{275+10√305+20√15}$, ±(1+$\sqrt{(5+√5)/10}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2)
 * (0, $\sqrt{3}$, ±1/2, ±(2+$\sqrt{(5+√5)/10}$)/2, ±1/2)
 * (0, $\sqrt{3}$, ±(2+$\sqrt{(5+√5)/10}$)/2, ±1/2, ±1/2)
 * (±(1+$\sqrt{3}$)/4, $\sqrt{5}$, ±(1+$\sqrt{(5+√5)/40}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2)
 * (±(1+$\sqrt{3}$)/4, $\sqrt{5}$, ±1/2, ±(2+$\sqrt{(5+√5)/40}$)/2, ±1/2)
 * (±(1+$\sqrt{3}$)/4, $\sqrt{5}$, ±(2+$\sqrt{(5+√5)/40}$)/2, ±1/2, ±1/2)
 * (±1/2, –$\sqrt{3}$, ±(1+$\sqrt{(5+2√5)/20}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2)
 * (±1/2, –$\sqrt{3}$, ±1/2, ±(2+$\sqrt{(5+2√5)/20}$)/2, ±1/2)
 * (±1/2, –$\sqrt{3}$, ±(2+$\sqrt{(5+2√5)/20}$)/2, ±1/2, ±1/2)