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==Rational distance problem== {{unsolved|mathematics|Is there a point in the plane at a rational distance from all four corners of a unit square?}} It is not known whether any point in the plane is a [[Rational number|rational]] distance from all four vertices of the unit square.<ref>{{citation | last = Guy | first = Richard K. |authorlink = Richard K. Guy | title = Unsolved Problems in Number Theory | series = Problem Books in Mathematics | volume = 1 | publisher = Springer-Verlag | edition = 2nd | year = 1991 | pages = 181β185 | doi = 10.1007/978-1-4899-3585-4 | isbn = 978-1-4899-3587-8 }}</ref>
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