Find maximal value of N
Source:
September 2, 2010
geometry3D geometryspherecombinatoricsExtremal combinatoricsIMO ShortlistIMO Longlist
Problem Statement
The colonizers of a spherical planet have decided to build towns, each having area of the total area of the planet. They also decided that any two points belonging to different towns will have different latitude and different longitude. What is the maximal value of ?