Editing Unit cube (section)

== Unit hypercube ==
The term ''unit cube'' or '''unit hypercube''' is also used for [[hypercube]]s, or "cubes" in [[N-dimensional space|''n''-dimensional spaces]], for values of ''n'' other than 3 and edge length 1.<ref name="pcm"/><ref name="cbm"/>

Sometimes the term "unit cube" refers in specific to the set [0,&nbsp;1]<sup>''n''</sup> of all ''n''-tuples of numbers in the interval [0,&nbsp;1].<ref name="pcm"/>

The length of the longest diagonal of a unit hypercube of ''n'' dimensions is <math>\sqrt n</math>, the square root of ''n'' and the (Euclidean) length of the vector (1,1,1,....1,1) in ''n''-dimensional space.<ref name="cbm"/>