The great rhombidodecahedron is the uniform polyhedron with Maeder index 73 (Maeder 1997), Wenninger index 109 (Wenninger 1989), Coxeter
index 89 (Coxeter et al. 1954), and Har'El index 78 (Har'El 1993). It has
Wythoff symbol 
and faces are 
.
The great rhombidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[109],
UniformPolyhedron["GreatRhombidodecahedron"],
UniformPolyhedron[
"Coxeter",89
],
UniformPolyhedron[
"Kaleido",
78
],
UniformPolyhedron[
"Uniform",
73
],
or UniformPolyhedron[
"Wenninger",
109
].
It is also implemented in the Wolfram
Language as PolyhedronData["GreatRhombidodecahedron"].
Its skeleton is the small rhombicosidodecahedral graph.
Its circumradius for unit edge length is
 |
Its dual is the great rhombidodecacron.
