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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 2-D to the Cube in 3-D was also proved by Browkin.

See also Cube, Schinzel's Theorem, Square


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

© 1996-9 Eric W. Weisstein