Hexagonal-dodecagrammic duoprism

The hexagonal-dodecagramic duoprism, also known as the 6-12/5 duoprism, is a uniform duoprism that consists of 12 hexagonal prisms and 6 dodecagrammic prisms, with 2 of each meeting at each vertex.

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


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