# Platonic solid

## Convex polyhedron with identical, regular polygon faces / From Wikipedia, the free encyclopedia

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In geometry, a **Platonic solid** is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex. There are only five such polyhedra:

**Table info: ...**▼

Tetrahedron | Cube | Octahedron | Dodecahedron | Icosahedron |

Four faces | Six faces | Eight faces | Twelve faces | Twenty faces |

Convex polyhedron with identical, regular polygon faces

Geometers have studied the Platonic solids for thousands of years.[1] They are named for the ancient Greek philosopher Plato, who hypothesized in one of his dialogues, the *Timaeus*, that the classical elements were made of these regular solids.[2]

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