The Number of Intersection Points Made by the Diagonals of a Regular Polygon
classification
🧮 math.MG
keywords
diagonalsnumberformulaintersectionmadepointsregularanswer
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We give a formula for the number of interior intersection points made by the diagonals of a regular $n$-gon. The answer is a polynomial on each residue class modulo 2520. We also compute the number of regions formed by the diagonals, by using Euler's formula $V-E+F=2$.
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