Hexagonal-great rhombicuboctahedral duoprism

The hexagonal-great rhombicuboctahedral duoprism or hagirco is a convex uniform duoprism that consists of 6 great rhombicuboctahedral prisms, 6 hexagonal-octagonal duoprisms, 8 hexagonal duoprisms and 12 square-hexagonal duoprisms. Each vertex joins 2 great rhombicuboctahedral prisms, 1 square-hexagonal duoprism, 1 hexagonal duoprism, and 1 hexagonal-octagonal duoprism.

This polyteron can be alternated into a triangular-snub cubic duoantiprism, although it cannot be made uniform. The great rhombicuboctahedra can also be edge-snubbed to create a triangular-pyritohedral prismantiprismoid, which is also nonuniform.

Vertex coordinates
The vertices of a hexagonal-great rhombicuboctahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(0,\,±1,\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt3}2,\,±\frac12,\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right).$$

Representations
A hexagonal-great rhombicuboctahedral duoprism has the following Coxeter diagrams:
 * x6o x4x3x (full symmetry)
 * x3x x4x3x (hexagons as ditrigons)