Editing Interval (mathematics) (section)

=== Convex polytopes ===

Any finite interval can be constructed as the [[intersection (set theory)|intersection]] of half-bounded intervals (with an empty intersection taken to mean the whole real line), and the intersection of any number of half-bounded intervals is a (possibly empty) interval. Generalized to <math>n</math>-dimensional [[affine space]], an intersection of half-spaces (of arbitrary orientation) is (the interior of) a [[convex polytope]], or in the 2-dimensional case a [[convex polygon]].