MathDB
beautiful convex n-gons 2017-18 Dürer Round1 C5 C+4

Source:

December 9, 2022
geometryconvex polygonconvex

Problem Statement

A convex nn-gon is called nice if its sides are not all the same length, and the sum of the distances of any interior point to the side lines is 11. Find all integers n4n \ge 4 such that a nice nn-gon exists .