# The Dodecahedron

A polyhedron bounded by twelve regular pentagonal faces; three meeting at each vertex.

The dodecahedron is one of the five platonic solids.

Vertex Symbol |
Wythoff Symbol |
No. of Vertices |
No. of Edges |
No. of Faces |
Symmetry Group |
Dual Polyhedron |

5^{3} |
3 | 2 5 | 12 | 30 | 20 | A_{5}×C_{2} |
Icosahedron |

Edge ratios:

- `e/r = sqrt(50-22sqrt(5))`
- `e/rho = 3 - sqrt(5)`
- `e/R = (sqrt(5)-1)/sqrt(3)`

where `e` is the edge length, `r` is the in-radius, `rho` is the inter-radius, and `R` is the circum-radius.

See Also: Rhombic Dodecahedron.