Dodecagonal-small rhombicuboctahedral duoprism

The dodecagonal-small rhombicuboctahedral duoprism or twasirco is a convex uniform duoprism that consists of 12 small rhombicuboctahedral prisms, 18 square-dodecagonal duoprisms of two kinds and 8 triangular-dodecagonal duoprisms.

This polychoron can be tetrahedrally alternated into a hexagonal-truncated tetrahedral duocupoliprism, although it cannot be made scaliform. It can also be tetrahedrally bialternated to create a bialternatocupolaic truncated tetrahedral-hexagonal duoprism, which is also nonscaliform.

Vertex coordinates
The vertices of a dodecagonal-small rhombicuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±(1+$\sqrt{13+2√14+4√6}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2)
 * (±1/2, ±(2+$\sqrt{2}$)/2, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2)
 * (±(2+$\sqrt{2}$)/2, ±1/2, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2)