The great dodecicosidodecahedron is the uniform polyhedron with Maeder index 61 (Maeder 1997), Wenninger index 99 (Wenninger 1989), Coxeter index 77(Coxeter et al. 1954), and Har'El index 66 (Har'El 1993). Its Wythoff symbol is and its faces are ,
The great dodecicosidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[], UniformPolyhedron["GreatDodecicosidodecahedron"], UniformPolyhedron["Coxeter", 77], UniformPolyhedron["Kaleido",66 ], UniformPolyhedron["Uniform", 61], or UniformPolyhedron["Wenninger", 114]. It is also implemented in the Wolfram Language as PolyhedronData["GreatDodecicosidodecahedron"].
Its skeleton is the small rhombicosidodecahedral graph, illustrated above in a few embeddings.
Its circumradius for unit edge length is
Its dual is the great dodecacronic hexecontahedron