MathDB
RMM P4 - playing around with figures

Source: RMM 2019 P4

February 24, 2019
combinatorial geometrycombinatorics

Problem Statement

Prove that for every positive integer nn there exists a (not necessarily convex) polygon with no three collinear vertices, which admits exactly nn diffferent triangulations.
(A triangulation is a dissection of the polygon into triangles by interior diagonals which have no common interior points with each other nor with the sides of the polygon)