page_title: Polyhedron
section_title: Convex polyhedra
hierarchical_section_title: Polyhedron / Convex polyhedra
caption_attribution_description: English: Polyhedron blocks for manipuation at Universum at the Ciudad Universitaria in Mexico City
context_page_description: In geometry, a polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. The word polyhedron comes from the Classical Greek πολύεδρον, as poly- + -hedron.
  A convex polyhedron is the convex hull of finitely many points, not all on the same plane.
  Cubes and pyramids are examples of convex polyhedra.
  A polyhedron is a 3-dimensional example of the more general polytope in any number of dimensions.
context_section_description: A three-dimensional solid is a convex set if it contains every line segment connecting two of its points. A convex polyhedron is a polyhedron that, as a solid, forms a convex set. A convex polyhedron can also be defined as a bounded intersection of finitely many half-spaces, or as the convex hull of finitely many points.
  Important classes of convex polyhedra include the highly symmetrical Platonic solids, the Archimedean solids and their duals the Catalan solids, and the regular-faced Johnson solids.
caption: Convex polyhedron blocks on display at the Universum museum in Mexico City
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