Octagonal-dodecagrammic duoprism

The octagonal-dodecagrammic duoprism, also known as the 8-12/5 duoprism, is a uniform duoprism that consists of 12 octagonal prisms and 8 dodecagrammic prisms, with 2 of each meeting at each vertex.

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


 * (±(1+$\sqrt{2+√2}$)/2, ±1/2, ±($\sqrt{6}$–1)/2, ±($\sqrt{2}$–1)/2),
 * (±(1+$\sqrt{2}$)/2, ±1/2, ±1/2, ±(2–$\sqrt{(6+√2–2√3)/2}$)/2),
 * (±(1+$\sqrt{2}$)/2, ±1/2, ±(2–$\sqrt{3}$)/2, ±1/2),
 * (±1/2, ±(1+$\sqrt{2}$)/2, ±($\sqrt{3}$–1)/2, ±($\sqrt{3}$–1)/2),
 * (±1/2, ±(1+$\sqrt{2}$)/2, ±1/2, ±(2–$\sqrt{3}$)/2),
 * (±1/2, ±(1+$\sqrt{2}$)/2, ±(2–$\sqrt{3}$)/2, ±1/2).