Square-dodecagrammic duoprism

The square-dodecagrammic duoprism, also known as the 4-12/5 duoprism, is a uniform duoprism that consists of 12 cubes and 4 dodecagrammic prisms, with 2 of each meeting at each vertex.

Vertex coordinates
The vertex coordinates of a square-dodecagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * (±1/2, ±1/2, ±($\sqrt{6}$–1)/2, ±($\sqrt{2}$–1)/2),
 * (±1/2, ±1/2, ±1/2, ±(2–$\sqrt{2}$)/2),
 * (±1/2, ±1/2, ±(2–$\sqrt{(5–2√3)/2}$)/2, ±1/2).