The ditrigonal dodecadodecahedron, also called the ditrigonal dodecahedron, is the uniform polyhedron with Maeder index 41 (Maeder
1997), Wenninger index 80 (Wenninger 1989), Coxeter index 53 (Coxeter et al. 1954),
and Har'El index 46 (Har'El 1993). It has Wythoff symbol 
and its faces are 
. It is a faceted
version of the small ditrigonal
icosidodecahedron.
The ditrigonal dodecadodecahedron is implemented in the Wolfram Language as UniformPolyhedron[80],
UniformPolyhedron["DitrigonalDodecadodecahedron"],
UniformPolyhedron[
"Coxeter",
53
],
UniformPolyhedron[
"Kaleido",
46
],
UniformPolyhedron[
"Uniform",
41
],
or UniformPolyhedron[
"Wenninger",
80
].
It is also implemented in the Wolfram
Language as PolyhedronData["DitrigonalDodecadodecahedron"].
The convex hull is a regular dodecahedron and the cube 5-compound and tetrahedron 10-compound can be constructed from its vertices.
Its circumradius for unit edge length is
 |
Its dual polyhedron is the medial triambic icosahedron.
