The great icosicosidodecahedron, not to be confused with the great icosahedron or great icosidodecahedron,
is the uniform polyhedron with Maeder index
48 (Maeder 1997), Wenninger index 88 (Wenninger 1989), Coxeter index 62 (Coxeter
et al. 1954), and Har'El index 53 (Har'El 1993). It has Wythoff
symbol 
.
Its faces are 
.
The great icosicoidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[88],
UniformPolyhedron["GreatIcosidodecahedron"],
UniformPolyhedron[
"Coxeter",
62
],
UniformPolyhedron[
"Kaleido",
53
],
UniformPolyhedron[
"Uniform",
48
],
or UniformPolyhedron[
"Wenninger",
88
].
It is also implemented in the Wolfram
Language as PolyhedronData["GreatIcosidodecahedron"].
Its convex hull is the truncated dodecahedron.
Its skeleton is the dodecicosahedral graph, illustrated above in a few embeddings.
Its circumradius for unit edge length is
 |
Its dual is the great icosacronic hexecontahedron.
