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

dc.creatorPoonen, Bjorn
dc.creatorRubinstein, Michael
dc.date1995-08-02
dc.date2006-03-18
dc.date.accessioned2026-07-07T09:08:25Z
dc.date.available2026-07-07T09:08:25Z
dc.descriptionWe 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 $V-E+F=2$.
dc.descriptionThis version corrects a typo that appeared in the 1995 arxiv version and also in the SIAM version (specifically coefficient '262' in theorem 1 appeared incorrectly as '232')
dc.identifierhttps://arxiv.org/abs/math/9508209
dc.identifierhttp://arxiv.org/abs/math/9508209
dc.identifierSIAM Journal on Discrete Mathematics 11 (1998), no. 1, 135-156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150715
dc.subjectMetric Geometry
dc.subject51M04;11R18
dc.titleThe Number of Intersection Points Made by the Diagonals of a Regular Polygon
dc.typetext

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