# Polyhedron

## 3D shape with flat faces, straight edges and sharp corners / From Wikipedia, the free encyclopedia

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In geometry, a **polyhedron** (PL: **polyhedra** or **polyhedrons**; from Greek * *πολύ* (poly-) * 'many', and * *ἕδρον* (-hedron) * 'base, seat') is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.

3D shape with flat faces, straight edges and sharp corners

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Regular tetrahedron |
Small stellated dodecahedron |

Icosidodecahedron |
Great cubicuboctahedron |

Rhombic triacontahedron |
A toroidal polyhedron |

A convex polyhedron is a polyhedron that bounds a convex set. Every convex polyhedron can be constructed as the convex hull of its vertices, and for every finite set of points, not all on the same plane, the convex hull is a convex polyhedron. Cubes and pyramids are examples of convex polyhedra.

A polyhedron is a 3-dimensional example of a polytope, a more general concept in any number of dimensions.