Unit square

A unit square is a square with side length equal to $1$. In a Cartesian coordinate system, the unit square can be viewed as the square with vertices at $(0,0), (0,1), (1,0), (1,1)$; likewise, if the concept of the unit square is extended to the complex plane, it can be defined as the square with vertices at $0$, $1$, $i$, and $1 + i$, where $i$ is the imaginary unit.

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