Hexagonal-small rhombicosidodecahedral duoprism

The hexagonal-small rhombicosidodecahedral duoprism or hasrid is a convex uniform duoprism that consists of 6 small rhombicosidodecahedral prisms, 12 pentagonal-hexagonal duoprisms, 30 square-hexagonal duoprisms and 20 triangular-hexagonal duoprisms. Each vertex joins 2 small rhombicosidodecahedral prisms, 1 triangular-hexagonal duoprism, 2 square-hexagonal duoprisms, and 1 pentagonal-hexagonal duoprism.

Vertex coordinates
The vertices of a hexagonal-small rhombicosidodecahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of: as well as all even permutations of the last three coordinates of:
 * $$\left(0,\,±1,\,±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}2\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}2\right),$$
 * $$\left(0,\,±1,\,0,\,±\frac{3+\sqrt5}4,\,±\frac{5+\sqrt5}4\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,0,\,±\frac{3+\sqrt5}4,\,±\frac{5+\sqrt5}4\right),$$
 * $$\left(0,\,±1,\,±\frac{1+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{3+\sqrt5}4\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,±\frac{1+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{3+\sqrt5}4\right).$$

Representations
A hexagonal-small rhombicosidodecahedral duoprism has the following Coxeter diagrams:
 * x6o x5o3x (full symmetry)
 * x3x x5o3x (hexagons as ditrigons)