Hexagonal-decagonal duoprism

The hexagonal-decagonal duoprism or hadedip, also known as the 6-10 duoprism, is a uniform duoprism that consists of 6 decagonal prisms and 10 hexagonal prisms, with two of each joining at each vertex.

This polychoron can be alternated into a triangular-pentagonal duoantiprism, although it cannot be made uniform.

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

Representations
A hexagonal-decagonal duoprism has the following Coxeter diagrams:


 * x6o x10o (full symmetry)
 * x3x x10o (hexagons as ditrigons)
 * x5x x6o (decagons as dipentagons)
 * x3x x5x (both applied)
 * xux xxx10ooo&#xt (decagonal axial)
 * xux xxx5xxx&#xt (dipentagonal axial)