For every Positive Integer , there exists a Square in the plane with exactly 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.

**References**

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

© 1996-9

1999-05-26