## The Dodecahedron

The surface of a Dodecahedron consists of twelve regular pentagons
and is therefore one of the five *Platonic solids*.

The following elements of a Dodecahedron are calculated if one of them is given:

- Edge a
- Face Diagonal d
- Face Altitude h
- Circumradius r
_{u}
- Inradius r
_{i}
- Volume V
- Surface O

### Example:

Given:
Circumradius rc = 1
Results: Edge a = 0,71364418
Face Diagonal d = 1,1547005
Face Altitude h = 1,0981855
Circumradius rc = 1
Inradius ri = 0,79465447
Volume V = 2,7851639
Surface S = 10,514622

### See also:

Wikipedia: Platonic solid