The great snub icosidodecahedron is the uniform polyhedron with Maeder index 57 (Maeder 1997), Wenninger index 116 (Wenninger 1989), Coxeter index 88 (Coxeter et al. 1954), and Har'El index 62 (Har'El 1993). It has Wythoff symbol and faces are .
The great snub icosidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[116], UniformPolyhedron["GreatSnubIcosidodecahedron"], UniformPolyhedron["Coxeter", 88], UniformPolyhedron["Kaleido", 62], UniformPolyhedron["Uniform", 57], or UniformPolyhedron["Wenninger", 116]. It is also implemented in the Wolfram Language as PolyhedronData["GreatSnubIcosidodecahedron"].
Its skeleton is the snub dodecahedral graph, illustrated above in a few embeddings.
For unit edge length, it has circumradius
where is the most negative root of
with the golden ratio.
Its dual is the great pentagonal hexecontahedron.