Browkin's Theorem

For every positive integer 👁 n
, there exists a square in the plane with exactly 👁 n
lattice points in its interior. This was extended by Schinzel and Kulikowski to all plane figures of a given shape. The generalization of the square in two-dimensional to the cube in three dimensions was also proved by Browkin.

See also

Cube, Schinzel's Theorem, Square

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References

Honsberger, R. Mathematical Gems I. Washington, DC: Math. Assoc. Amer., pp. 121-125, 1973.

Referenced on Wolfram|Alpha

Browkin's Theorem

Cite this as:

Weisstein, Eric W. "Browkin's Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BrowkinsTheorem.html

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