Random chords and point distances in regular polygons

Details Random chords and point distances in regular polygons Random chords and point distances in regular polygons

2012-04-12

arxiv.org/abs/1204.2707v1

Mathematics

Probability

16 pages, 4 figures

Scientific paper

In this paper we obtain the chord length distribution function for any regular polygon. From this function we conclude the density function for the distance between two uniformly and independently distributed random points in the regular polygon. The method to calculate the chord length distribution function is quite different from those of Harutyunyan and Ohanyan, uses only elementary methods and provides the result with only a few natural case distinctions.

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