Square-dodecagonal duoprism

The square-dodecagonal duoprism or sitwadip, also known as the 4-12 duoprism, is a uniform duoprism that consists of 4 dodecagonal prisms, 12 cubes and 48 vertices.

This polychoron can be alternated into a digonal-hexagonal duoantiprism, although it cannot be made uniform. The dodecagons can also be alternated into long ditrigons to create a digonal-hexagonal prismantiprismoid, which is also nonuniform.

Vertex coordinates
Coordinates for the vertices of a square-dodecagonal duoprism of edge length 1 are given by:
 * (±1/2, ±1/2, ±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{6}$)/2),
 * (±1/2, ±1/2, ±1/2, ±(2+$\sqrt{2}$)/2),
 * (±1/2, ±1/2 ±(2+$\sqrt{(5+2√3)/2}$)/2, ±1/2).