IMO 2021 Shortlist G6

Determine all integers n ě 3 satisfying the following property: every convex n-gon whose sides all have length 1 contain...

IMO 2021 Shortlist G6

Category: Geometry

Problem

Determine all integers n ě 3 satisfying the following property: every convex n-gon whose sides all have length 1 contains an equilateral triangle of side length 1. (Every polygon is assumed to contain its boundary.) Shortlisted problems 9