Regular dodecahedron
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, and 160 diagonals (60 face diagonals, 100 space diagonals). It is represented by the Schläfli symbol {5,3}.
| Regular dodecahedron | |
|---|---|
(Click here for rotating model) | |
| Type | Platonic solid |
| Elements | F = 12, E = 30 V = 20 (χ = 2) |
| Faces by sides | 12{5} |
| Conway notation | D |
| Schläfli symbols | {5,3} |
| Face configuration | V3.3.3.3.3 |
| Wythoff symbol | 3 | 2 5 |
| Coxeter diagram | |
| Symmetry | Ih, H3, [5,3], (*532) |
| Rotation group | I, [5,3]+, (532) |
| References | U23, C26, W5 |
| Properties | regular, convex |
| Dihedral angle | 116.56505° = arccos(−1⁄√5) |
5.5.5 (Vertex figure) |
Regular icosahedron (dual polyhedron) |
Net | |
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