The smallI icosicosidodecahedron is the uniform polyhedron with Maeder index 31 (Maeder 1997), Wenninger index 71 (Wenninger
1989), Coxeter index 40 (Coxeter et al. 1954), and Har'El index 36 (Har'El
1993). It has Wythoff symbol 
and its faces are 
.
The smallI icosicosidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[71],
UniformPolyhedron["SmallIcosicosidodecahedron"],
UniformPolyhedron[
"Coxeter",
40
],
UniformPolyhedron[
"Kaleido",
36
],
UniformPolyhedron[
"Uniform",
31
],
or UniformPolyhedron[
"Wenninger",
71
].
It it also implemented in the Wolfram
Language as PolyhedronData["SmallIcosicosidodecahedron"].
Its skeleton is the dodecicosahedral graph, illustrated above in a few embeddings.
Its circumradius for unit edge lengths is
 |
Its dual polyhedron is the small icosacronic hexecontahedron.
