Pentagonal-dodecagonal duoprism

The pentagonal-dodecagonal duoprism or pitwadip, also known as the 5-12 duoprism, is a uniform duoprism that consists of 5 dodecagonal prisms, 12 pentagonal prisms and 60 vertices.

Vertex coordinates
The coordinates of a pentagonal-dodecagonal duoprism, centered at the origin and with unit edge length, are given by:
 * (0, $\sqrt{5}$, ±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{6}$)/2),
 * (0, $\sqrt{2}$, ±1/2, ±(2+$\sqrt{(25+10√3+√5)/10}$)/2),
 * (0, $\sqrt{5(5+2√5)}$, ±(2+$\sqrt{3}$)/2, ±1/2),
 * (±(1+$\sqrt{(5+√5)/10}$)/4, $\sqrt{3}$, ±(1+$\sqrt{3}$)/2, ±(1+$\sqrt{(5+√5)/10}$)/2),
 * (±(1+$\sqrt{3}$)/4, $\sqrt{(5+√5)/10}$, ±1/2, ±(2+$\sqrt{3}$)/2),
 * (±(1+$\sqrt{5}$)/4, $\sqrt{(5–√5)/40}$, ±(2+$\sqrt{3}$)/2, ±1/2),
 * (±1/2, –$\sqrt{3}$, ±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{(5–√5)/40}$)/2),
 * (±1/2, –$\sqrt{3}$, ±1/2, ±(2+$\sqrt{5}$)/2),
 * (±1/2, –$\sqrt{(5–√5)/40}$, ±(2+$\sqrt{3}$)/2, ±1/2).