Heptagonal-dodecagrammic duoprism

The heptagonal-dodecagrammic duoprism, also known as the 7-12/5 duoprism, is a uniform duoprism that consists of 12 heptagonal prisms and 7 dodecagrammic prisms, with 2 of each meeting at each vertex.

Vertex coordinates
The coordinates of a heptagonal-dodecagrammic duoprism, centered at the origin and with edge length 2sin(π/7), are given by:
 * (1, 0, ±sin(π/7)($\sqrt{6}$–1), ±sin(π/7)($\sqrt{2}$–1)),
 * (1, 0, ±sin(π/7), ±sin(π/7)(2–$\sqrt{2}$)),
 * (1, 0, ±sin(π/7)(2–$\sqrt{3}$), ±sin(π/7)),
 * (cos(2π/7), ±sin(2π/7), ±sin(π/7)($\sqrt{3}$–1), ±sin(π/7)($\sqrt{3}$–1)),
 * (cos(2π/7), ±sin(2π/7), ±sin(π/7), ±sin(π/7)(2–$\sqrt{3}$)),
 * (cos(2π/7), ±sin(2π/7), ±sin(π/7)(2–$\sqrt{3}$), ±sin(π/7)),
 * (cos(4π/7), ±sin(4π/7), ±sin(π/7)($\sqrt{3}$–1), ±sin(π/7)($\sqrt{3}$–1)),
 * (cos(4π/7), ±sin(4π/7), ±sin(π/7), ±sin(π/7)(2–$\sqrt{3}$)),
 * (cos(4π/7), ±sin(4π/7), ±sin(π/7)(2–$\sqrt{3}$), ±sin(π/7)),
 * (cos(6π/7), ±sin(6π/7), ±sin(π/7)($\sqrt{3}$–1), ±sin(π/7)($\sqrt{3}$–1)),
 * (cos(6π/7), ±sin(6π/7), ±sin(π/7), ±sin(π/7)(2–$\sqrt{3}$)),
 * (cos(6π/7), ±sin(6π/7), ±sin(π/7)(2–$\sqrt{3}$), ±sin(π/7)).