TOT 396 1993 Autumn A S4 convex 1993-gon is divided into convex 7-gons
Source:
June 12, 2024
combinatoricsgeometrycombinatorial geometry
Problem Statement
A convex -gon is divided into convex -gons. Prove that there are neighbouring sides of the -gon belonging to one such -gon. (A vertex of a -gon may not be positioned on the interior of a side of the -gon, and two -gons either have no common points, exactly one common vertex or a complete common side.)(A Kanel-Belov)