The icositruncated dodecadodecahedron, also called the icosidodecatruncated icosidodecahedron, is the uniform polyhedron with Maeder index
45 (Maeder 1997), Wenninger index 84 (Wenninger 1989), Coxeter index 57 (Coxeter
et al. 1954), and Har'El index 50 (Har'El 1993). It has Wythoff
symbol 
and faces 
.
The icositruncated dodecadodecahedron is implemented in the Wolfram Language as UniformPolyhedron[84],
UniformPolyhedron["IcositruncatedDodecadodecahedron"],
UniformPolyhedron[
"Coxeter",
57
],
UniformPolyhedron[
"Kaleido",
50
],
UniformPolyhedron[
"Uniform",
45
],
or UniformPolyhedron[
"Wenninger",
84
].
It is also implemented in the Wolfram
Language as PolyhedronData["IcositruncatedDodecadodecahedron"].
Its circumradius for unit edge length is
 |
Its dual polyhedron is the tridyakis icosahedron.
