3k points divide a circle into k arcs of lengths 1, 2 and 3
Source: 1988 German Federal - Bundeswettbewerb Mathematik - BWM - Round 2 p2
November 20, 2022
geometrycombinatoricscombinatorial geometry
Problem Statement
A circle is somehow divided by points into arcs of lengths and each. Prove that two of these points are always diametrically opposite.