Hexagonal-decagonal duoprismatic prism

The hexagonal-decagonal duoprismatic prism or hadip, also known as the hexagonal-decagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 hexagonal-decagonal duoprisms, 6 square-decagonal duoprisms and 10 square-hexagonal duoprisms. Each vertex joins 2 square-hexagonal duoprisms, 2 square-decagonal duoprisms, and 1 hexagonal-decagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

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

Vertex coordinates
The vertices of a hexagonal-decagonal duoprismatic prism of edge length 1 are given by:
 * $$\left(0,\,±1,\,0,\,±\frac{1+\sqrt5}2,\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,0,\,±\frac{1+\sqrt5}2,\,±\frac12\right),$$
 * $$\left(0,\,±1,\,±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac12\right),$$
 * $$\left(0,\,±1,\,±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac12\right).$$

Representations
A hexagonal-decagonal duoprismatic prism has the following Coxeter diagrams:
 * x x6o x10o (full symmetry)
 * x x3x x10o (hexagons as ditrigons)
 * x x6o x5x (decagons as dipentagons)
 * x x3x x5x
 * xx6oo xx10oo&#x (hexagonal-decagonal duoprism atop hexagonal-decagonal duoprism)
 * xx3xx xx10oo&#x
 * xx6oo xx5xx&#x
 * xx3xx xx5xx&#x