Hexagonal-dodecagonal duoprism

The 6-12 duoprism is a uniform duoprism that consists of 6 dodecagonal prisms, 12 hexagonal prisms and 72 vertices.

The convex hull of two orthogonal 6-12 duoprisms is the hexagonal duoexpandoprism.

This polychoron can be alternated into a 3-6 duoantiprism, although it cannot be made uniform. The dodecagons can also be alternated into long ditrigons to create a bialternatosnub 3-6 duoprism, which is also nonuniform.

Vertex coordinates
The vertices of a 6-12 duoprism of edge length 1, centered at the origin, are given by:
 * (0, ±1, ±(1+$\sqrt{3}$)/2, ±(1+$\sqrt{3}$)/2)
 * (0, ±1, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (0, ±1, ±(2+$\sqrt{3}$)/2, ±1/2)
 * (±$\sqrt{3}$/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+$\sqrt{3}$)/2)
 * (±$\sqrt{3}$/2, ±1/2, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (±$\sqrt{3}$/2, ±1/2, ±(2+$\sqrt{3}$)/2, ±1/2)