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7 votes
2 answers
241 views

How to enumerate unique lattice polygons for a given area using Pick's Theorem?

Pick's Theorem Suppose that a polygon has integer coordinates for all of its vertices. Let $i$ be the number of integer points interior to the polygon, and let $b$ be the number of integer points on ...
vengy's user avatar
  • 1,913
0 votes
1 answer
67 views

Number of Pieces a regular $n$-gon is cut into by its diagonals [closed]

In how many pieces a regular n-gon is cut into by its diagonals? I need a general formula. By inspection, I have the solution to some lower values of $n$. For $n=3,4,5,6$ solutions are $1, 4, 11, ...
Muhammad Rasel Parvej's user avatar