Ditrigonal dodecadodecahedron
| Ditrigonal dodecadodecahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 24, E = 60 V = 20 (χ = −16) |
| Faces by sides | 12{5}+12{5/2} |
| Coxeter diagram | |
| 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 24 faces (12 pentagons and 12 pentagrams), 60 edges, and 20 vertices. 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 .