par The rhombidodecadodecahedron is the uniform polyhedron with Maeder index 38 (Maeder 1997), Wenninger index 76 (Wenninger
1989), Coxeter index 48 (Coxeter et al. 1954), and Har'El index 42 (Har'El
1993). It has Schläfli symbol r and Wythoff symbol
.
Its faces are
.
The rhombidodecadodecahedron is implemented in the Wolfram Language as UniformPolyhedron[76],
UniformPolyhedron["Rhombidodecadodecahedron"],
UniformPolyhedron["Coxeter",
48
],
UniformPolyhedron[
"Kaleido",
42
],
UniformPolyhedron[
"Uniform",
38
],
or UniformPolyhedron[
"Wenninger",
76
].
It is also implemented in the Wolfram
Language as PolyhedronData["Rhombidodecadodecahedron"].
The circumradius for unit edge length is
Its dual polyhedron is the medial deltoidal hexecontahedron.