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:
“Odour of blood when Christ was slain
Made all Platonic tolerance vain
And vain all Doric discipline.”
—William Butler Yeats (1865–1939)
“Manuel showed her his open hand: “Look at this finger, how meager it seems, and this one even weaker, and this other one no stronger, and this one all by himself and on his own.”
Then he made a fist: “But now, is it strong enough, big enough, solid enough? It seems so doesn’t it?””
—Jacques Roumain (1907–1945)