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
53 3 | 2 5 12 30 20 A5×C2 Icosahedron
Edge
In-Radius
= root(50 – 22root5)   Edge
Inter-Radius
= 3 – root5   Edge
Circum-Radius
= root5 – 1
root3

See Also: Rhombic Dodecahedron.