 Type Uniform star polyhedron
Elements F = 24, E = 60
V = 20 (χ = −16)
Faces by sides 12{5}+12{5/2}
Wythoff symbol 3 | 5/3 5
3/2 | 5 5/2
3/2 | 5/3 5/4
3 | 5/2 5/4
Symmetry group Ih, [5,3], *532
Index references U41, C53, W80
Dual polyhedron Medial triambic icosahedron
Vertex figure (5.5/3)3
Bowers acronym Ditdid

In geometry, the ditrigonal dodecadodecahedron (or ditrigonary dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U41. It has extended Schläfli symbol b{5,5/2}, as a blended great dodecahedron, and Coxeter diagram     . It has 4 Schwarz triangle equivalent constructions, for example Wythoff symbol 3 | 5/3 5, and Coxeter diagram .

## Related polyhedra

Its convex hull is a regular dodecahedron. It additionally shares its edge arrangement with the small ditrigonal icosidodecahedron (having the pentagrammic faces in common), the great ditrigonal icosidodecahedron (having the pentagonal faces in common), and the regular compound of five cubes.

a{5,3} a{5/2,3} b{5,5/2}    =         =      =      Small ditrigonal icosidodecahedron Great ditrigonal icosidodecahedron   