MathDB
one 2013-gon constructed by diagonals of a regular 2013-gon,

Source: KJMO 2013 p8

May 1, 2019
combinatorial geometrycombinatoricsregular polygon

Problem Statement

Drawing all diagonals in a regular 20132013-gon, the regular 20132013-gon is divided into non-overlapping polygons. Prove that there exist exactly one 20132013-gon out of all such polygons.