Platonic Solid

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.

(four faces)
Cube or hexahedron
(six faces)
(eight faces)
(twelve faces)
(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

Other articles related to "platonic solid, platonic solids":

Platonic Solid - Related Polyhedra and Polytopes - Higher Dimensions
... being the equivalents of the three-dimensional Platonic solids ... Schläfli discovered the four-dimensional analogues of the Platonic solids, called convex regular 4-polytopes ... There are exactly six of these figures five are analogous to the Platonic solids, while the sixth one, the 24-cell, has one lower-dimension analogue (Truncation of a simplex-fac ...

Famous quotes containing the words solid and/or platonic:

    When much intercourse with a friend has supplied us with a standard of excellence, and has increased our respect for the resources of God who thus sends a real person to outgo our ideal; when he has, moreover, become an object of thought, and, whilst his character retains all its unconscious effect, is converted in the mind into solid and sweet wisdom,—it is a sign to us that his office is closing, and he is commonly withdrawn from our sight in a short time.
    Ralph Waldo Emerson (1803–1882)

    I’ve arrived at the age where a platonic friendship can be sustained on the highest moral plane.
    Charlie Chaplin (1889–1977)