The Icosahedron

A polyhedron bounded by twenty equilateral triangles; five meeting at each vertex.

The icosahdedron is one of the five platonic solids.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
No. of
Faces
Symmetry
Group
Dual Polyhedron
35 5 | 2 3 12 30 20 A5×C2 Dodecahedron
Edge
In-Radius
= root3 (3 – root5)   Edge
Inter-Radius
= root5 – 1   Edge
Circum-Radius
= root(10 – 2root5)
root5