Vertices of a prism are labeled with numbers 1 to 100
Source: BWM 2014 P2
June 9, 2014
geometry3D geometryprismalgorithmgeometric transformationreflectioninduction
Problem Statement
The vertices of a prism, whose base is a -gon, are labeled with numbers in any order. Prove that there are two vertices, which are connected by an edge of the prism, with labels differing by not more than . Note: In all the triangles the three vertices do not lie on a straight line.