The small ditrigonal icosidodecahedron is the uniform polyhedron with Maeder index 30 (Maeder 1997), Weinninger index 70 (Wenninger
1971, p. 106-107), Coxeter index 39 (Coxeter et al. 1954), and Har'El
index 35 (Har'El 1993). It has Wythoff symbol 
and its faces are 
. A faceted version
is the ditrigonal dodecadodecahedron.
It is illustrated above together with its dual.
The small ditrigonal icosidodecahedron is implemented in the Wolfram Language as UniformPolyhedron[70],
UniformPolyhedron["SmallDitrigonalIcosidodecahedron"],
UniformPolyhedron[
"Coxeter",
39
],
UniformPolyhedron[
"Kaleido",
35
],
UniformPolyhedron[
"Uniform",
30
],
or UniformPolyhedron[
"Wenninger",
70
].
Its skeleton is the ditrigonal icosidodecahedral graph.
The convex hull of the small ditrigonal icosidodecahedron is a regular dodecahedron, whose dual is the icosahedron, so the dual of the great ditrigonal dodecicosidodecahedron (the small triambic icosahedron) is one of the icosahedron stellations (Wenninger 1983, p. 42).
Its circumradius for unit edge lengths is
 |
Its dual polyhedron is the small triambic icosahedron.
