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1 hold two opposite corners of a polygon and start pulling the two away from each other I found that for a hexagon that there are 14 triangulations but there are triangulations that are just rotations of the others Thus the number of unique triangulations. I already know the trig formula and i realize that my question is simply asking for.
Think about the vertices of the polygon as potential candidates for vertices of the triangle Using that, you get (n choose 3) as the number of possible triangles that can be formed by the vertices of a regular polygon of n sides. Welcome to the gon forum, a place where old friends and new friends alike can gather ‘round and swap stories and info about hunting, fishing, everything outdoors.and just about any other topic folks love to discuss. (1) intuitively if there's no ear, every vertex will be incident to an interior edge, there must be a pair of edges crossing
(2) viewing it as a graph, this's equivalent to the statement that there's a vertex with degree $2$ I tried proving by contradiction but didn't work well (3) also tried induction, cut the larger gon into $2$ smaller.
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