The small dodecahemicosahedron is the uniform polyhedron with Maeder index 62 (Maeder 1997), Wenninger index 100 (Wenninger 1989), Coxeter
index 78 (Coxeter et al. 1954), and Har'El index 67 (Har'El 1993). It has
Wythoff symbol 
and faces are 
. It is a faceted
version of the icosidodecahedron.
The small dodecahemicosahedron is implemented in the Wolfram Language as UniformPolyhedron[100],
UniformPolyhedron["SmallDodecahemicosahedron"],
UniformPolyhedron[
"Coxeter",
78
],
UniformPolyhedron[
"Kaleido",
67
],
UniformPolyhedron[
"Uniform",
62
],
or UniformPolyhedron[
"Wenninger",
100
].
It is also implemented in the Wolfram
Language as PolyhedronData["SmallDodecahemicosahedron"].
Its convex hull is the regular icosidodecahedron.
Its skeleton is the dodecadodecahedral graph.
Its circumradius with unit edge length is
 |
Its dual polyhedron is the small dodecahemicosacron.
