Pentagonal-pentagrammic duoprism

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

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


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