The great truncated cuboctahedron (Maeder 1997), also called the quasitruncated cuboctahedron (Wenninger 1989, p. 145), is the uniform polyhedron
with Maeder index 20 (Maeder 1997), Wenninger index 94 (Wenninger 1989), Coxeter
index 67 (Coxeter et al. 1954), and Har'El index 25 (Har'El 1993). Its faces
consist of 
.
It has Schläfli symbol t'
and Wythoff symbol 
.
The great truncated cuboctahedronn is implemented in the Wolfram Language as UniformPolyhedron[],
UniformPolyhedron["GreatTruncatedCuboctahedron"],
UniformPolyhedron[
"Coxeter",
67
],
UniformPolyhedron[
"Kaleido",
25
],
UniformPolyhedron[
"Uniform",
20 
],
or UniformPolyhedron[
"Wenninger",
94
].
It is also implemented in the Wolfram
Language as PolyhedronData["GreatTruncatedCuboctahedron"].
The skeleton of the truncated tetrahedron is the great rhombicuboctahedral graph, illustrated above in a number of embeddings.
Its dual is the great disdyakis dodecahedron.
Its circumradius for unit edge length is
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