MathDB

B3

Part of 1958 November Putnam

Problems(1)

Putnam 1958 November B3

Source: Putnam 1958 November

7/19/2022
Show that if a unit square is partitioned into two sets, then the diameter (least upper bound of the distances between pairs of points) of one of the sets is not less than \sqrt{5} \slash 2. Show also that no larger number will do.
Putnamsquarediameter