MathDB

14

Part of 2006 Baltic Way

Problems(1)

2006 congruent pieces contain each one of 2006 points

Source: Baltic Way 2006

12/4/2010
There are 20062006 points marked on the surface of a sphere. Prove that the surface can be cut into 20062006 congruent pieces so that each piece contains exactly one of these points inside it.
geometry proposedgeometry