The great dodecahemidodecahedron is the uniform polyhedron with Maeder index 70 (Maeder 1997), Wenninger index 107 (Wenninger
1989), Coxeter index 86 (Coxeter et al. 1954), and Har'El index 75 (Har'El
1993). It has Wythoff symbol 
and its faces are 
.
The great dodecahemidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[107],
UniformPolyhedron["GreatDodecahemidodecahedron"],
UniformPolyhedron[
"Coxeter",
86
],
UniformPolyhedron[
"Kaleido",
75
],
UniformPolyhedron[
"Uniform",
70
],
or UniformPolyhedron[
"Wenninger",
107
].
It is also implemented in the Wolfram
Language as PolyhedronData["GreatDodecahemidodecahedron"].
Its skeleton graph is the icosidodecahedral graph.
Its convex hull is the regular icosidodecahedron.
Its circumradius for unit edge length is
 |
where 
is the golden ratio.
Its dual is the great dodecahemidodecacron.
