MathDB
Combo problem about regular polygons

Source: 1st TASIMO, Day1 Problem3

May 18, 2024
combinatoricsregular polygon

Problem Statement

AbdulqodirAbdulqodir cut out 20242024 congruent regular nn-gons from a sheet of paper and placed these nn-gons on the table such that some parts of each of these nn-gons may be covered by others. We say that a vertex of one of the afore-mentioned nn-gons is visiblevisible if it is not in the interior of another nn-gon that is placed on top of it. For any n>2n>2 determine the minimum possible number of visible vertices. \\ Proposed by David Hrushka, Slovakia