Decagonal-dodecagrammic duoprism

The decagonal-dodecagrammic duoprism, also known as the 10-12/5 duoprism, is a uniform duoprism that consists of 12 decagonal prisms and 10 dodecagrammic prisms, with 2 of each meeting at each vertex.

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


 * (±1/2, ±$\sqrt{(5+√5)/2}$/2, ±($\sqrt{6}$–1)/2, ±($\sqrt{2}$–1)/2),
 * (±1/2, ±$\sqrt{2}$/2, ±1/2, ±(2–$\sqrt{(7+√5–2√3)/2}$)/2),
 * (±1/2, ±$\sqrt{3}$/2, ±(2–$\sqrt{5+2√5}$)/2, ±1/2),
 * (±(3+$\sqrt{5+2√5}$)/4, ±$\sqrt{3}$, ±($\sqrt{3}$–1)/2, ±($\sqrt{5+2√5}$–1)/2),
 * (±(3+$\sqrt{3}$)/4, ±$\sqrt{5+2√5}$, ±1/2, ±(2–$\sqrt{3}$)/2),
 * (±(3+$\sqrt{5}$)/4, ±$\sqrt{(5+√5)/8}$, ±(2–$\sqrt{3}$)/2, ±1/2),
 * (±(1+$\sqrt{3}$)/2, 0, ±($\sqrt{5}$–1)/2, ±($\sqrt{(5+√5)/8}$–1)/2),
 * (±(1+$\sqrt{3}$)/2, 0, ±1/2, ±(2–$\sqrt{5}$)/2),
 * (±(1+$\sqrt{(5+√5)/8}$)/2, 0, ±(2–$\sqrt{3}$)/2, ±1/2),