Simulations of Linearity of Buffon’s Needle Problem

Yong Liang Wang

doi:10.4028/www.scientific.net/AMM.530-531.452

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 530-531Simulations of Linearity of Buffon’s Needle...

Simulations of Linearity of Buffon’s Needle Problem

Abstract:

The expected number of crossings of Buffon's needle problem is linear if the distance d between the lines of the ruled paper is less than or equal to the length l of the needle. With the help of Dynamic Geometry Super Sketchpad software, two vivid simulations of the linearity of Buffon's problem are given, that is, the expected number E(l ) satisfies E(x+y) = E(x) + E(y) and E(rx) = rE(x).