2

Part of 1974 IMO Shortlist

Problems(1)

Squares may be put into the other square

Source:

Prove that the squares with sides

\frac{1}{1}, \frac{1}{2}, \frac{1}{3},\ldots

may be put into the square with side

\frac{3}{2}

in such a way that no two of them have any interior point in common.

combinatoricsSquarespackingcombinatorial geometryIMO Shortlist