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.

This polychoron can be alternated into a triangular-snub cubic duoantiprism, although it cannot be made uniform. The great rhombicuboctahedra can also be bialternated to create a bialternatosnub triangular-pyritohedral duoprism, which is also nonuniform.

Vertex coordinates
The vertices of a hexagonal-great rhombicuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (0, ±1, ±1/2, ±(1+$\sqrt{17+6√2}$)/2, ±(1+2$\sqrt{2}$)/2)
 * (±$\sqrt{2}$/2, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/2, ±(1+2$\sqrt{2}$)/2)