Triangular-truncated cubic duoprism

The triangular-truncated cubic duoprism or tratic is a convex uniform duoprism that consists of 3 truncated cubic prisms, 6 triangular-octagonal duoprisms and 8 triangular duoprisms. Each vertex joins 2 truncated cubic prisms, 1 triangular duoprism, and 2 triangular-octagonal duoprisms. It is a duoprism based on a triangle and a truncated cube, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-truncated cubic duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{1+\sqrt2}2,\,±\frac{1+\sqrt2}2,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{1+\sqrt2}2,\,±\frac{1+\sqrt2}2,\,±\frac12\right).$$