The small rhombidodecahedron is the uniform polyhedron with Maeder index 39 (Maeder 1997), Wenninger index 74 (Wenninger 1989), Coxeter
index 46 (Coxeter et al. 1954), and Har'El index 44 (Har'El 1993). It has
Wythoff symbol 
. Its faces are 
. It is a faceted version
of the small rhombicosidodecahedron
The small rhombidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[74],
UniformPolyhedron["SmallRhombidodecahedron"],
UniformPolyhedron[
"Coxeter",
46
],
UniformPolyhedron[
"Kaleido",
44
],
UniformPolyhedron[
"Uniform",
39
],
or UniformPolyhedron[
"Wenninger",
74
].
It is also implemented in the Wolfram
Language as PolyhedronData["SmallRhombidodecahedron"].
Ite skeleton is the small rhombicosidodecahedral graph, illustrated above in a few embeddings.
Its convex hull is a small rhombicosidodecahedron and its circumradius for unit edge lengths is
 |
Its dual polyhedron is the small rhombidodecacron.
