Dodecagonal-cubic duoprism

The dodecagonal-cubic duoprism or twacube is a convex uniform duoprism that consists of 12 tesseracts and 6 square-dodecagonal duoprisms.

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

Vertex coordinates
The vertices of a dodecagonal-cubic duoprism of edge length 1 are given by:
 * (±(1+$\sqrt{11+4√3}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±1/2, ±1/2)
 * (±1/2, ±(2+$\sqrt{3}$)/2, ±1/2, ±1/2, ±1/2)
 * (±(2+$\sqrt{3}$)/2, ±1/2, ±1/2, ±1/2, ±1/2)