In Euclidean geometry, a Platonic solid is a regular, convex polyhedron. The faces are congruent, regular polygons, with the same number of faces meeting at each vertex. There are exactly five solids which meet those criteria; each is named according to its number of faces.
| Tetrahedron (four faces) |
Cube or hexahedron (six faces) |
Octahedron (eight faces) |
Dodecahedron (twelve faces) |
Icosahedron (twenty faces) |
The aesthetic beauty and symmetry of the Platonic solids have made them a favorite subject of geometers for thousands of years. They are named for the ancient Greek philosopher Plato, who theorized that the classical elements were constructed from the regular solids.
Read more about Platonic Solid: History, Combinatorial Properties, Classification, In Nature and Technology
Famous quotes containing the words platonic and/or solid:
“I’ve arrived at the age where a platonic friendship can be sustained on the highest moral plane.”
—Charlie Chaplin (1889–1977)
“Children can’t make their own rules and no child is happy without them. The great need of the young is for authority that protects them against the consequences of their own primitive passions and their lack of experience, that provides with guides for everyday behavior and that builds some solid ground they can stand on for the future.”
—Leontine Young (20th century)