odd number of grid lines , rectangle All-Russian MO 2005 Regional 10.8
Source:
August 26, 2024
combinatoricscombinatorial geometrygeometryrectangle
Problem Statement
A rectangle is drawn on checkered paper, the sides of which form angles of with the grid lines, and the vertices do not lie on the grid lines. Can an odd number of grid lines intersect each side of a rectangle?