Pentagrammic-octagrammic duoprism

The pentagrammic-octagrammic duoprism, also known as stastodip or the 5/2-8/3 duoprism, is a uniform duoprism that consists of 8 pentagrammic prisms and 5 octagrammic prisms, with 2 of each meeting at each vertex.

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


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