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. Each vertex joins 2 small rhombicuboctahedral prisms, 1 triangular-dodecagonal duoprism, and 3 square-dodecagonal duoprisms.

This polyteron can be tetrahedrally alternated into a hexagonal-truncated tetrahedral duocupoliprism, although it cannot be made scaliform. It can also be tetrahedrally edge-snubbed to create a truncated tetrahedral-hexagonal prismcupoliprismoid, which is also not scaliform.

Vertex coordinates
The vertices of a dodecagonal-small rhombicuboctahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(±\frac{1+\sqrt3}2,\,±\frac{1+\sqrt3}2,\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\frac12,\,±\frac{2+\sqrt3}2,\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\frac{2+\sqrt3}2,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right).$$

Representations
A dodecagonal-small rhombicuboctahedral duoprism has the following Coxeter diagrams:
 * x12o x4o3x (full symmetry)
 * x6x x4o3x (dodecagons as dihexagons)