Dodecagonal-truncated cubic duoprism

The dodecagonal-truncated cubic duoprism or twatic is a convex uniform duoprism that consists of 12 truncated cubic prisms, 6 octagonal-dodecagonal duoprisms and 8 triangular-dodecagonal duoprisms. Each vertex joins 2 truncated cubic prisms, 1 triangular-dodecagonal duoprism, and 2 octagonal-dodecagonal duoprisms.

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

Representations
A dodecagonal-truncated cubic duoprism has the following Coxeter diagrams:
 * x12o x4x3o (full symmetry)
 * x6x x4x3o (dodecagons as dihexagons)