The great dodecicosahedron is the uniform polyhedron with Maeder index 63 (Maeder 1997), Wenninger index 101 (Wenninger 1989), Coxeter
index 79 (Coxeter et al. 1954), and Har'El index 68 (Har'El 1993). It has
Wythoff symbol 
(Coxeter 1954, Fig. 79; Wenninger 1989, p. 156)
or 
and its faces are 
.
The great dodecicosahedron is implemented in the Wolfram Language as UniformPolyhedron[],
UniformPolyhedron["GreatDodecicosahedron"],
UniformPolyhedron[
"Coxeter", 79
], UniformPolyhedron[
"Kaleido", 68
], UniformPolyhedron[
"Uniform", 63
], or UniformPolyhedron[
"Wenninger",
101
].
It is also implemented in the Wolfram
Language as PolyhedronData["GreatDodecicosahedron"].
Its skeleton is the dodecicosahedral graph, illustrated above in a few embeddings.
Its convex hull is the truncated dodecahedron.
Its circumradius for unit edge length is
 |
Its dual is the great dodecicosacron.
