The great rhombihexahedron is the uniform polyhedron with Maeder index 21 (Maeder 1997), Wenninger index 103 (Wenninger 1989), Coxeter
index 82 (Coxeter et al. 1954), and Har'El index 26 (Har'El 1993). Its Wythoff symbol is 
and its faces are 
.
The great rhombihexahedron is implemented in the Wolfram Language as UniformPolyhedron[103],
UniformPolyhedron["GreatRhombihexahedron"],
UniformPolyhedron[
"Coxeter", 82
], UniformPolyhedron[
"Kaleido", 26
], UniformPolyhedron[
"Uniform", 21
], or UniformPolyhedron[
"Wenninger", 103
].
It is also implemented in the Wolfram
Language as PolyhedronData["GreatRhombihexahedron"].
The skeleton of the tgreat rhombihexahedron is the small rhombicuboctahedral graph, illustrated above.
The circumradius for a great rhombihexahedron of unit edge length is
 |
Its dual is the great rhombihexacron.
The convex hull of the great rhombihexahedron is the Archimedean truncated cube 
, whose dual is the small
triakis octahedron, so the dual of the great rhombihexahedron (i.e., the great
rhombihexacron) is one of the stellations of the small
triakis octahedron (Wenninger 1983, p. 57).
