The article deftly employs a historical curiosity—Buffon’s needles—to illuminate both the fundamental nature of pi and the power of probabilistic reasoning. It's a masterclass in framing complex mathematical concepts through relatable, even whimsical, scenarios, deliberately slowing the reader down to appreciate the fundamental “irrationality” of the number itself. The layering of historical context—Buffon's problem to the Manhattan Project—demonstrates the persistent utility of random sampling ...