Truncated dodecahedron
In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges.
| Truncated dodecahedron | |
|---|---|
(Click here for rotating model) | |
| Type | Archimedean solid Uniform polyhedron |
| Elements | F = 32, E = 90, V = 60 (χ = 2) |
| Faces by sides | 20{3}+12{10} |
| Conway notation | tD |
| Schläfli symbols | t{5,3} |
| t0,1{5,3} | |
| Wythoff symbol | 2 3 | 5 |
| Coxeter diagram | |
| Symmetry group | Ih, H3, [5,3], (*532), order 120 |
| Rotation group | I, [5,3]+, (532), order 60 |
| Dihedral angle | 10-10: 116.57° 3-10: 142.62° |
| References | U26, C29, W10 |
| Properties | Semiregular convex |
Colored faces |
3.10.10 (Vertex figure) |
Triakis icosahedron (dual polyhedron) |
Net |
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.