Triangular-dodecagonal duoprismatic prism

The triangular-dodecagonal duoprismatic prism or tratwip, also known as the triangular-dodecagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 triangular-dodecagonal duoprisms, 3 square-dodecagonal duoprisms and 12 triangular-square duoprisms. Each vertex joins 2 triangular-square duoprisms, 2 square-dodecagonal duoprisms, and 1 triangular-dodecagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-dodecagonal duoprismatic prism of edge length 1 are given by all permutations of the third and fourth coordinates of:
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{1+\sqrt3}2,\,±\frac{1+\sqrt3}2,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{1+\sqrt3}2,\,±\frac{1+\sqrt3}2,\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac12,\,±\frac{2+\sqrt3}2,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac12,\,±\frac{2+\sqrt3}2,\,±\frac12\right).$$

Representations
A triangular-dodecagonal duoprismatic prism has the following Coxeter diagrams:
 * x x3o x12o (full symmetry)
 * xx3oo xx12oo&#x (triangular-dodecagonal duoprism atop triangular-dodecagonal duoprism)
 * ox xx xx12oo&#x (dodecagonal prism atop square-dodecagonal duoprism)