olymmath

RMM 2019 Problem 4

  • Day 2

Prove that for every positive integer nn there exists a (not necessarily convex) polygon with no three collinear vertices, which admits exactly nn different 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.)

Dataset text NuminaMath olympiads. Quoted with source.

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