  A packing polynomial is a polynomial that maps the set $\mathbf{N}_0^2$ of
lattice points with nonnegative coordinates bijectively onto $\mathbf{N}_0$.
Cantor constructed two quadratic packing polynomials, and Fueter and Polya
proved analytically that the Cantor polynomials are the only quadratic packing
polynomials. The purpose of this paper is to present a beautiful elementary
proof of Vsemirnov of the Fueter-Polya theorem. It is a century-old conjecture
that t
