Unit cube

Unit cube

A unit cube is a cube all of whose sides are 1 unit long. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.

Unit Hypercube

The term "unit cube" or unit hypercube is also used to refer to hypercubes, or "cubes" in "n"-dimensional spaces, for other values of "n" than 3. Very often it means the specific unit cube which is the set [0, 1] "n" of all "n"-tuples of numbers in the interval [0, 1] . A Hypercube - when related to a square - has a minimum value of three sides.

The length of the longest diagonal of a unit hypercube of n dimensions is the square root of n.

See also

*Unit square
*Unit sphere

External links

*


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