Dodecagonal-truncated octahedral duoprism

The dodecagonal-truncated octahedral duoprism or twatoe is a convex uniform duoprism that consists of 12 truncated octahedral prisms, 8 hexagonal-dodecagonal duoprisms and 6 square-dodecagonal duoprisms.

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

Vertex coordinates
The vertices of a dodecagonal-truncated octahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±(1+$\sqrt{18+4√3}$)/2, ±(1+$\sqrt{3}$)/2, 0, $\sqrt{3}$/2, $\sqrt{2}$),
 * (±1/2, ±(2+$\sqrt{2}$)/2, 0, $\sqrt{3}$/2, $\sqrt{2}$),
 * (±(2+$\sqrt{2}$)/2, ±1/2, 0, $\sqrt{3}$/2, $\sqrt{2}$).