Wednesday, December 12, 2007

Hypercube

Image from web log conflusions.com:

Wikipedia: "In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3). It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, at right angles to each other.

An n-dimensional hypercube is also called an n-cube. The term "measure polytope" (which is apparently due to Coxeter; see Coxeter 1973) is also used but it is rare.

The hypercube is the special case of a hyperrectangle (also called an orthotope)."

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