TOT 471 1995 Autumn J A5 simple 7-gons
Source:
July 9, 2024
combinatoricscombinatorial geometrygeometry
Problem Statement
A simple polygon in the plane is a figure bounded by a closed nonself-intersecting broken line.(a) Do there exist two congruent simple -gons in the plane such that all the seven vertices of one of the -gons are the vertices of the other one and yet these two -gons have no common sides?(b) Do there exist three such -gons? (V Proizvolov)