MathDB

3

Part of 2008 Pre-Preparation Course Examination

Problems(1)

Pointed distributed over a sphere

Source: Iran PPCE 2008

12/29/2008
Prove that we can put Ω(1ϵ) \Omega(\frac1{\epsilon}) points on surface of a sphere with radius 1 such that distance of each of these points and the plane passing through center and two of other points is at least ϵ \epsilon.
geometry3D geometrysphereprobability and stats