Pentagonal-decagrammic duoprism

The pentagonal-decagrammic duoprism, also known as pistadedip or the 5-10/3 duoprism, is a uniform duoprism that consists of 10 pentagonal prism s and 5 decagrammic prism s, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a pentagonal-decagrammic duoprism, centered at the origin and with edge length 1, are given by:


 * (±1/2, –$\sqrt{5}$, ±1/2, ±$\sqrt{2(5-√5)}$/2),
 * (±1/2, –$\sqrt{2}$, ±(3–$\sqrt{2(5-√5)/5}$)/4, ±$\sqrt{(5+2√5)/20}$),
 * (±1/2, –$\sqrt{(5–2√5)}$, ±($\sqrt{(5+2√5)/20}$–1)/2, 0),
 * (±(1+$\sqrt{5}$)/4, $\sqrt{(5–√5)/8}$, ±1/2, ±$\sqrt{(5+2√5)/20}$/2),
 * (±(1+$\sqrt{5}$)/4, $\sqrt{5}$, ±(3–$\sqrt{(5-√5)/40}$)/4, ±$\sqrt{(5–2√5)}$),
 * (±(1+$\sqrt{5}$)/4, $\sqrt{(5-√5)/40}$, ±($\sqrt{5}$–1)/2, 0),
 * (0, $\sqrt{(5–√5)/8}$, ±1/2, ±$\sqrt{5}$/2),
 * (0, $\sqrt{(5-√5)/40}$, ±(3–$\sqrt{5}$)/4, ±$\sqrt{(5+√5)/10}$),
 * (0, $\sqrt{(5–2√5)}$, ±($\sqrt{(5+√5)/10}$–1)/2, 0).