# Definition:Unit n-Cube

Let $n \in \N$.
The unit $n$-cube $I^n$ is the Cartesian product of $n$ instances of the closed real interval $\left\{ {x \in \R: 0 \le x \le 1}\right\}$:
$I^n = \left[{0 \,.\,.\, 1}\right]^n$