Polyhedron

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.

Examples of polyhedra

Regular tetrahedron

Platonic solid


Small stellated dodecahedron

Kepler–Poinsot solid


Icosidodecahedron

Archimedean solid


Great cubicuboctahedron

Uniform star-polyhedron


Rhombic triacontahedron

Catalan solid


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.

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