Consider all solids with faces that are regular polygons, and where the vertices have the same number of faces. There are five, and they are called the Platonic Solids, after Plato.

Proof that there are exactly five is an interesting exercise. This is related to graph theory and the Euler characteristic.

Tetrahedron
Hexahedron
(or cube, to you and me)
Octahedron
Dodecahedron
Icosahedron


Last change to this page
Full Page history
Links to this page
Edit this page
  (with sufficient authority)
Change password
Recent changes
All pages
Search