Square-dodecagonal duoprism

The 4-12 duoprism is a uniform duoprism that consists of 4 dodecagonal prisms, 12 square prisms and 48 vertices.

This polychoron can be alternated into a 2-6 duoantiprism, although it cannot be made uniform. The dodecagons can also be alternated into long ditrigons to create a bialternatosnub 2-6 duoprism, which is also nonuniform.

Vertex coordinates
The vertices of a 4-12 duoprism of edge length 1, centered at the origin, are given by:
 * (±1/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+$\sqrt{3}$)/2)
 * (±1/2, ±1/2, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (±1/2, ±1/2 ±(2+$\sqrt{3}$)/2, ±1/2)