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Unit square

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

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Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
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