Pentagrammic-decagrammic duoprism

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

Coordinates
The vertex coordinates of a pentagrammic-decagrammic 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–$\sqrt{(10–3√5)/5}$)/4, ±$\sqrt{5}$),
 * (±1/2, –$\sqrt{(5–2√5)/20}$, ±($\sqrt{5–2√5}$–1)/2, 0),
 * (±($\sqrt{(5–2√5)/20}$–1)/4, $\sqrt{5}$, ±1/2, ±$\sqrt{(5–√5)/8}$/2),
 * (±($\sqrt{(5–2√5)/20}$–1)/4, $\sqrt{5}$, ±(3–$\sqrt{5}$)/4, ±$\sqrt{(5+√5)/40}$),
 * (±($\sqrt{5–2√5}$–1)/4, $\sqrt{5}$, ±($\sqrt{(5+√5)/40}$–1)/2, 0),
 * (0, –$\sqrt{5}$, ±1/2, ±$\sqrt{(5–√5)/8}$/2),
 * (0, –$\sqrt{5}$, ±(3–$\sqrt{(5+√5)/40}$)/4, ±$\sqrt{5}$),
 * (0, –$\sqrt{(5–√5)/10}$, ±($\sqrt{5–2√5}$–1)/2, 0).