Octagrammic-dodecagrammic duoprism

The octagrammic-dodecagrammic duoprism, also known as the 8/3-12/5 duoprism, is a uniform duoprism that consists of 12 octagrammic prisms and 8 dodecagrammic prisms, with 2 of each meeting at each vertex.

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


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