Polytope: Difference between revisions
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In [[geometry]], a '''polytope''' is the analog to a [[polygon]] or [[polyhedron]] in any number of [[dimension]]s. Alternatively, a polytope in n dimensions is a figure bounded by connected polytopes of dimension ''n-1''. A polytope of 0 dimensions is a [[point (geometry)|point]], 1 dimension a [[line segment]], 2 dimensions a [[polygon]], 3 dimensions a [[polyhedron]]. Polytopes of 4 dimensions are sometimes called [[polychorons]]. | In [[geometry]], a '''polytope''' is the analog to a [[polygon]] or [[polyhedron]] in any number of [[dimension]]s. Alternatively, a polytope in n dimensions is a figure bounded by connected polytopes of dimension ''n-1''. A polytope of 0 dimensions is a [[point (geometry)|point]], 1 dimension a [[line segment]], 2 dimensions a [[polygon]], 3 dimensions a [[polyhedron]]. Polytopes of 4 dimensions are sometimes called [[polychorons]]. | ||
Latest revision as of 05:50, 21 January 2009
In geometry, a polytope is the analog to a polygon or polyhedron in any number of dimensions. Alternatively, a polytope in n dimensions is a figure bounded by connected polytopes of dimension n-1. A polytope of 0 dimensions is a point, 1 dimension a line segment, 2 dimensions a polygon, 3 dimensions a polyhedron. Polytopes of 4 dimensions are sometimes called polychorons.