Question: Prove that no sparse set of points within the square can contain more than 1000 many points. One approach to proving this is to try

Prove that no sparse set of points within the square can

Prove that no sparse set of points within the square can contain more than 1000 many points. One approach to proving this is to try to apply the Pigeon Hole Principle. (Note that the number "1000" is not so special. The maximal number of points that can be packed into the unit square "sparsely" could be much smaller.)

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