Triangular-dodecagrammic duoprism

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

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


 * (0, $\sqrt{6}$/3, ±(2–$\sqrt{2}$)/2, ±1/2),
 * (0, $\sqrt{2}$/3, ±1/2, ±(2–$\sqrt{(7-3√3)/3}$)/2),
 * (0, $\sqrt{3}$/3, ±($\sqrt{3}$–1)/2, ±($\sqrt{3}$–1)/2),
 * (±1/2, –$\sqrt{3}$/6, ±(2–$\sqrt{3}$)/2, ±1/2),
 * (±1/2, –$\sqrt{3}$/6, ±1/2, ±(2–$\sqrt{3}$)/2),
 * (±1/2, –$\sqrt{3}$/6, ±($\sqrt{3}$–1)/2, ±($\sqrt{3}$–1)/2).