Hexagonal-icosahedral duoprism

The hexagonal-icosahedral duoprism or hike is a convex uniform duoprism that consists of 6 icosahedral prisms and 20 triangular-hexagonal duoprisms. Each vertex joins 2 icosahedral prisms and 5 triangular-hexagonal duoprisms.

Vertex coordinates
The vertices of a triangular-icosahedral duoprism of edge length 1 are given by all even permutations of the last three coordinates of:
 * $$\left(0,\,±1,\,0,\,±\frac12,\,±\frac{1+\sqrt{5}}4\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,0,\,±\frac12,\,±\frac{1+\sqrt{5}}4\right).$$

Representations
A hexagonal-icosahedral duoprism has the following Coxeter diagrams:
 * x6o o5o3x (full symmetry)
 * x3x o5o3x (hexagons as ditrigons)