# Number of Intersections Regular Polygon (Scripts) 1.0

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## Number of Intersections Regular Polygon (Scripts) Publisher's description

### NUMREGPOLY Number of Intersection Points and Regions Made By The Diagonals of a Regular Polygon

NUMREGPOLY Number of Intersection Points and Regions Made By The Diagonals of a Regular Polygon

[A,B,I,R]=numregpoly(N) for integer n returns the following:

A: Vector of number of points inside the regular n-gon other than the center where exactly k lines meet

B: Vector of number of k-tuples of diagonals which meet at a point inside the n-gon other than the center

I: Scalar, Number of intersection points formed inside a regular n-gon by its diagonals

R: Scalar, Number of regions that the diagonals cut the n-gon into

[A,B,I,R]=numregpoly(V) for vector of integers n returns the same results, with each row being for the i'th entry in input
A and B turn into Matrices, and I and R into column vectors

Reference:
"The number of intersection points made by the diagonals of a regular polygon", B. Poonen, M. Rubinstein, SIAM J. Discrete Math. 11 (1998), no. 1, 133вЂ“156. [MR 98k:52027]
URL (.pdf): www-math.mit.edu/~poonen/papers/ngon.pdf

#### System Requirements:

MATLAB 7.9 (2009b)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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