Alan McRae
Articles written in Resonance – Journal of Science Education
Volume 26 Issue 12 December 2021 pp 1663-1676 General Article
Buffon's Needle Problem for the Taxicab Geometry: or Why $\pi = 4$
We revisit the famous Buffon's needle problem, one of the first problems in geometric probability. Only now, the plane upon which we toss our needles is not Euclidean, as it was for Buffon, but instead has the simple but fascinating taxicab geometry. We find that we get the exact same solution as Buffon did, except that now $\pi = 4$! As a bonus, we get nice introductions to basic probability theory and geometry.
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