The small retrosnub icosicosidodecahedron, also called the small inverted retrosnub icosicosidodecahedron, is the uniform polyhedron
with Maeder index 72 (Maeder 1997), Wenninger index 118 (Wenninger 1989), Coxeter
index 91 (Coxeter et al. 1954), and Har'El index 77 (Har'El 1993). It has
Wythoff symbol 
and its faces are 
.
The small retrosnub icosicosidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[118],
UniformPolyhedron["SmallRetrosnubIcosicosidodecahedron"],
UniformPolyhedron[
"Coxeter",
91
],
UniformPolyhedron[
"Kaleido",
77
],
UniformPolyhedron[
"Uniform",
72
],
or UniformPolyhedron[
"Wenninger",
118
]. It it also implemented in the Wolfram
Language as PolyhedronData["SmallRetrosnubIcosicosidodecahedron"].
Its skeleton is the small snub icosicosidodecahedral graph, illustrated above in a number of embeddings.
It has circumradius for unit edge lengths
 |  |  |
(1)
|
 |  |  |
(2)
|
Its dual polyhedron is the small hexagrammic hexecontahedron.
