The Number of Intersection Points Made by the Diagonals of a Regular Polygon

Mathematics – Metric Geometry

Scientific paper

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This version corrects a typo that appeared in the 1995 arxiv version and also in the SIAM version (specifically coefficient '2

Scientific paper

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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