n points are given on the surface of a sphere
Source: IMO LongList 1988, Hungary 1, Problem 32 of ILL
October 22, 2005
geometry3D geometryspherecombinatorics unsolvedcombinatorics
Problem Statement
points are given on the surface of a sphere. Show that the surface can be divided into congruent regions such that each of them contains exactly one of the given points.