The truncated dodecadodecahedron, also called the quasitruncated dodecahedron, is the uniform polyhedron with Maeder index 59
(Maeder 1997), Wenninger index 98 (Wenninger 1989), Coxeter index 75 (Coxeter et
al. 1954), and Har'El index 65 (Har'El 1993). It has Schläfli
symbol t'
and Wythoff symbol 
.
Its faces are 
.
The truncated dodecadodecahedron is implemented in the Wolfram Language as UniformPolyhedron[98],
UniformPolyhedron["TruncatedDodecadodecahedron"],
UniformPolyhedron[
"Coxeter",75
],
UniformPolyhedron[
"Kaleido",
65
],
UniformPolyhedron[
"Uniform",59
],
or UniformPolyhedron[
"Wenninger",
98
].
It is also implemented in the Wolfram
Language as PolyhedronData["TruncatedDodecadodecahedron"].
Its skeleton is the truncated dodecadodecahedral graph, illustrated above in a number of embeddings.
Its circumradius for unit edge lengths
 |
Its dual polyhedron is the medial disdyakis triacontahedron.
