MathDB

32

Part of 1988 IMO Longlists

Problems(1)

n points are given on the surface of a sphere

Source: IMO LongList 1988, Hungary 1, Problem 32 of ILL

10/22/2005
nn points are given on the surface of a sphere. Show that the surface can be divided into nn congruent regions such that each of them contains exactly one of the given points.
geometry3D geometryspherecombinatorics unsolvedcombinatorics