Pentagonal-octagrammic duoprism

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

Coordinates
The vertex coordinates of a pentagonal-octagrammic duoprism, centered at the origin and with edge length 1, are given by:


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