Hyperrectangle: Difference between revisions - Wikipedia

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In [[geometry]], an '''hyperrectangle''' (also called a '''box''', '''hyperbox''', or '''orthotope'''<ref name=regpoly>Coxeter, 1973</ref>), is the generalization of a [[rectangle]] (a [[plane figure]]) and the [[rectangular cuboid]] (a [[solid figure]]) to [[higher dimension]]s.

A necessary and sufficient condition is that it is [[Congruence (geometry)|congruent]] to the [[Cartesian product]] of finite [[interval (mathematics)|intervals]]. If all of the edges are equal length, it is a ''[[hypercube]]''.

A hyperrectangle is a special case of a [[parallelohedron#Related shapes|parallelotope]].