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Polygon

A polygon is a closed-figure in a plane bounded by three or more straight edges.

Polyhedron

A polyhedron is a solid bounded by polygonal faces.  See Platonic solids and Archimedes solids.

Polytope

This is a closed, N-dimensional shape bounded by hyperplanes.  A 2-dimensional polytope is a polygon and a 3-dimensional polytope is a polyhedron.

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