Buffon’s problem with regular polygons
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Abstract
In the first part of this paper we calculate the probability that a regular convex polygon intersects at least one of two given lattices of equidistant lines in the plane. In the second part we consider the events that the polygon intersects the first lattice (event A) and the second lattice (event B). We compute the values of the angle α between the nonparallel lines, such that A and B are independent.
Keywords
Geometric probability Stochastic geometry Random sets Random convex sets Integral geometryMathematics Subject Classification (2000)
60D05 52A22Preview
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References
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