US EditionNumber of ways to partition a convex polygon
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Number of ways to partition a convex polygon
In this post we want to count the number of ways to divide a regular polygon [1] into triangles by connecting vertices with straight lines that do not cross. Squares For a square, there are two possibilities: we either connect the NW and SE corners, or we connect the SW and NE corners. Pentagons For a pentagon, we pick one vertex and connect it to both non-adjacent vertices. We can do this for any vertex, so there are five possible triangulation…
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