Pentagonal-dodecagrammic duoprism

The pentagonal-dodecagrammic duoprism, also known the 5-12/5 duoprism, is a uniform duoprism that consists of 12 pentagonal prisms and 5 dodecagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a pentagonal-dodecagrammic duoprism, centered at the origin and with unit edge length, are given by:


 * (±1/2, –$\sqrt{5}$, ±($\sqrt{6}$–1)/2, ±($\sqrt{2}$–1)/2),
 * (±1/2, –$\sqrt{2}$, ±1/2, ±(2–$\sqrt{(25+√5-10√3)/10}$)/2),
 * (±1/2, –$\sqrt{5-2√5}$, ±(2–$\sqrt{3}$)/2, ±1/2),
 * (±(1+$\sqrt{(5+2√5)/20}$)/4, $\sqrt{3}$, ±($\sqrt{3}$–1)/2, ±($\sqrt{(5+2√5)/20}$–1)/2),
 * (±(1+$\sqrt{3}$)/4, $\sqrt{(5+2√5)/20}$, ±1/2, ±(2–$\sqrt{3}$)/2),
 * (±(1+$\sqrt{5}$)/4, $\sqrt{(5-√5)/40}$, ±(2–$\sqrt{3}$)/2, ±1/2),
 * (0, $\sqrt{3}$, ±($\sqrt{5}$–1)/2, ±($\sqrt{(5-√5)/40}$–1)/2),
 * (0, $\sqrt{3}$, ±1/2, ±(2–$\sqrt{5}$)/2),
 * (0, $\sqrt{(5-√5)/40}$, ±(2–$\sqrt{3}$)/2, ±1/2).