MathDB
rays in space

Source: Bundeswettbewerb Mathematik 1985, second stage, problem 3

May 14, 2004
geometry3D geometryspheregeometry unsolved

Problem Statement

From a point in space, nn rays are issuing, whereas the angle among any two of these rays is at least 30∘30^{\circ}. Prove that n<59n < 59.