median of 2n points - All-Russian MO 1996 Regional (R4) 11.2
Source:
September 23, 2024
geometrycombinatoricscombinatorial geometry
Problem Statement
Let us call the median of a system of points of a plane a straight line passing through exactly two of them, on both sides of which there are points of this system equally. What is the smallest number of medians that a system of points, no three of which lie on the same line?