Hyperrectangle

From Wikipedia, the free encyclopedia

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

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

A special case of an n-orthotope is the n-hypercube.

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

[edit] See also

• Bounding box

[edit] References

• Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, pp. 122-123, 1973.

[edit] External links

• Eric W. Weisstein, Orthotope at MathWorld.