The small stellated truncated dodecahedron, also called the quasitruncated small stellated dodecahedron, is the uniform polyhedron
with Maeder index 58 (Maeder 1997), Wenninger index 97 (Wenninger 1989), Coxeter
index 74 (Coxeter et al. 1954), and Har'El index 63 (Har'El 1993). It has
Schläfli symbol t'
and Wythoff symbol 
.
Its faces are 
.
The mall stellated truncated dodecahedron is implemented in the Wolfram Language as UniformPolyhedron[97],
UniformPolyhedron["SmallStellatedTruncatedDodecahedron"],
UniformPolyhedron[
"Coxeter",
74
],
UniformPolyhedron[
"Kaleido",
63
],
UniformPolyhedron[
"Uniform",
58
],
or UniformPolyhedron[
"Wenninger",
97
].
It is also implemented in the Wolfram
Language as PolyhedronData["SmallStellatedTruncatedDodecahedron"].
Its skeleton is the truncated great dodecahedral graph, illustrated above in a number of embeddings.
Its convex hull is the small rhombicosidodecahedron.
Its circumradius for unit edge lengths is
 |
Its dual polyhedron is the great pentakis dodecahedron.
