olymmath

Putnam 1967 A5

  • Session A

Show that in a convex region in the plane whose boundary contains at most a finite number of straight line segments and whose area is greater than π4\frac{\pi}{4} there is at least one pair of points a unit distance apart.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator putnam/1967/a5 · Tag KYZ94VWZ96 · Edit this page on GitHub · Keys: j next, k previous