maximal no of edges a plane intersects a polyhedron having 100 edges.
Source: TOT 357 1992 Autumn O S6 - Tournament of Towns
June 10, 2024
combinatoricsgeometry3D geometrycombinatorial geometry
Problem Statement
Consider a polyhedron having edges.(a) Find the maximal possible number of its edges which can be intersected by a plane (not containing any vertices of the polyhedron) if the polyhedron is convex.(b) Prove that for a non-convex polyhedron this number
i. can be as great as ,
ii. cannot be as great as .(A Andjans, Riga