Pentagrammic-decagonal duoprism

The pentagrammic-decagonal duoprism, also known as stardedip or the 5/2-10 duoprism, is a uniform duoprism that consists of 10 pentagrammic prisms and 5 decagonal prisms, with 2 of each meeting at each vertex.

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


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