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THE NUMBER OF INTERSECTION POINTS MADE BY THE DIAGONALS OF A REGULAR POLYGON.

Authors :
Poonen, Bjorn
Rubinstein, Michael
Source :
SIAM Journal on Discrete Mathematics. 1998, Vol. 11 Issue 1, p135-156. 22p.
Publication Year :
1998

Abstract

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*POLYGONS
*INTERSECTION theory
*POLYNOMIALS
*MATHEMATICAL formulas
*EQUATIONS

Details

Language :
English
ISSN :
08954801
Volume :
11
Issue :
1
Database :
Academic Search Index
Journal :
SIAM Journal on Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
13219819
Full Text :
https://doi.org/10.1137/S0895480195281246
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