Hexagonal duoprismatic prism

The hexagonal duoprismatic prism or hahip, also known as the hexagonal-hexagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 hexagonal duoprisms and 12 square-hexagonal duoprisms. Each vertex joins 4 square-hexagonal duoprisms and 1 hexagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

This polyteron can be alternated into a triangular duoantiprismatic antiprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a hexagonal duoprismatic prism of edge length 1 are given by:
 * $$\left(0,\,±1,\,0,\,±1,\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,0,\,±1,\,±\frac12\right),$$
 * $$\left(0,\,±1,\,±\frac{\sqrt3}2,\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,±\frac{\sqrt3}2,\,±\frac12,\,±\frac12\right).$$

Representations
A hexagonal duoprismatic prism has the following Coxeter diagrams:
 * x x6o x6o (full symmetry)
 * x x3x x3x (hexagons as ditrigons)
 * xx6oo xx6oo&#x (hexagonal duoprism atop hexagonal duoprism)
 * xx3xx xx3xx&#x