Hexagonal-truncated cubic duoprism

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

Vertex coordinates
The vertices of a hexagonal-truncated cubic duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of: The vertices of a hexagonal-truncated cubic duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(±1,\,0,\,±\frac{1+\sqrt2}2,\,±\frac{1+\sqrt2}2,\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}2,\,±\frac{1+\sqrt2}2,\,±\frac{1+\sqrt2}2,\,±\frac12\right).$$

Representations
A hexagonal-truncated cubic duoprism has the following Coxeter diagrams:
 * x6o x4x3o (full symmetry)
 * x3x x4x3o (hexagons as ditrigons)