The great icosidodecahedron, not to be confused with the great icosahedron or great icosicosidodecahedron,
is the uniform polyhedron with Maeder index
54 (Maeder 1997), Wenninger index 94 (Wenninger 1989), Coxeter index 70 (Coxeter
et al. 1954), and Har'El index 59 (Har'El 1993). It has Schläfli
symbol 
and Wythoff symbol 
. Its faces are 
.
It is a stellated Archimedean solid.
The great icosidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[94],
UniformPolyhedron["GreatIcosidodecahedron"],
UniformPolyhedron[
"Coxeter",
70
],
UniformPolyhedron[
"Kaleido",
59
],
UniformPolyhedron[
"Uniform",
54
],
or UniformPolyhedron[
"Wenninger",
94
].
It is also implemented in the Wolfram
Language as PolyhedronData["GreatIcosidodecahedron"].
Its skeleton is the icosidodecahedral graph.
Its convex hull is a regular icosidodecahedron.
Its circumradius for unit edge length is
 |
where 
is the golden ratio.
Its dual is the great rhombic triacontahedron, with which it is illustrated above.
." §3.9.2 in