Pentagrammic-octagonal duoprism

The pentagrammic-octagonal duoprism, also known as starodip or the 5/2-8 duoprism, is a uniform duoprism that consists of 8 pentagrammic prisms and 5 octagonal prisms, with 2 of each meeting at each vertex.

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


 * (±1/2, –$\sqrt{5}$, ±(1+$\sqrt{(2+√2)/2}$)/2, ±1/2),
 * (±1/2, –$\sqrt{2}$, ±1/2, ±(1+$\sqrt{(15+5√2–√5)/10}$)/2),
 * (±($\sqrt{5+2√5}$–1)/4, $\sqrt{2}$, ±(1+$\sqrt{(5–2√5)/20}$)/2, ±1/2),
 * (±($\sqrt{2}$–1)/4, $\sqrt{(5–2√5)/20}$, ±1/2, ±(1+$\sqrt{2}$)/2),
 * (0, $\sqrt{5}$, ±(1+$\sqrt{(5–√5)/40}$)/2, ±1/2),
 * (0, $\sqrt{2}$, ±1/2, ±(1+$\sqrt{5}$)/2).