Triangular duoprismatic prism

The triangular duoprismatic prism or tratrip, also known as the triangular-triangular prismatic duoprism, is a convex uniform duoprism that consists of 2 triangular duoprisms and 6 triangular-square duoprisms. Each vertex joins 1 triangular duoprism and 4 triangular-square duoprisms. As the name suggests, it is a prism based on the triangular duoprism, which also makes it a convex segmentoteron.

Vertex coordinates
The vertices of a triangular duoprismatic prism of edge length 1 are given by:
 * $$\left(0,\,\frac{\sqrt3}3,\,0,\,\frac{\sqrt3}3,\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac12,\,-\frac{\sqrt3}6,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,0,\,\frac{\sqrt3}3,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac12,\,-\frac{\sqrt3}6,\,±\frac12\right).$$

Representations
A triangular duoprismatic prism has the following Coxeter diagrams:


 * x x3o x3o (full symmetry)
 * xx3oo xx3oo&#x (A2×A2 symmetry)
 * ox xx xx3oo&#x (A2×A1×A1 symmetry, triangular prism atop triangular-square duoprism)
 * xxx xxx3ooo&#x (A2×A1 symmetry, three different triangular prisms)