IMO 1969 LL NET46
The vertices of an (n + 1)-gon are placed on the edges of a
IMO 1969 LL NET46
Origin: NET
Problem
The vertices of an (n + 1)-gon are placed on the edges of a regular n-gon so that the perimeter of the n-gon is divided into equal parts. How does one choose these n + 1 points in order to obtain the (n + 1)gon with (a) maximal area; (b) minimal area?