Pentagrammic-dodecagonal duoprism

The pentagrammic-dodecagonal duoprism, also known as statwadip or the 5/2-12 duoprism, is a uniform duoprism that consists of 12 pentagrammic prisms and 5 dodecagonal prisms, with 2 of each meeting at each vertex.

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


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