Sunday, October 21, 2007

Hyperrectangle


In geometry, an orthotope, (also called a hyperrectangle or a box) is the simplification of a rectangle for higher dimensions, formally defined as the Cartesian product of intervals.

A three-dimensional orthotope is also known as right rectangular prism, or cuboid.

An extraordinary case of an n-orthotope is the n-hypercube.

By analogy, the term "hyperrectangle" or "box" refers to Cartesian products of orthogonal intervals of extra kinds, such as ranges of keys in database theory or ranges of integers, rather than real numbers.

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