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Hyperrectangle
Generalization of a rectangle for higher dimensions / From Wikipedia, the free encyclopedia
In geometry, a hyperrectangle (also called a box, hyperbox, or orthotope[2]), is the generalization of a rectangle (a plane figure) and the rectangular cuboid (a solid figure) to higher dimensions. A necessary and sufficient condition is that it is congruent to the Cartesian product of finite intervals. If all of the edges are equal length, it is a hypercube. A hyperrectangle is a special case of a parallelotope.
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Quick Facts Hyperrectangle Orthotope, Type ...
Hyperrectangle Orthotope | |
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![]() A rectangular cuboid is a 3-orthotope | |
Type | Prism |
Faces | 2n |
Edges | n × 2n−1 |
Vertices | 2n |
Schläfli symbol | {}×{}×···×{} = {}n[1] |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Symmetry group | [2n−1], order 2n |
Dual polyhedron | Rectangular n-fusil |
Properties | convex, zonohedron, isogonal |
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