Is pi an invented artifact or a natural phenomenon discovered ?

This is a common occurrence in mathematics: The first time a young student sees the mathematical constant π, it looks like just one more school artifact; one more arbitrary symbol whose definition to memorize for the next test. Later, if he or she persists, this perception changes. In many branches of mathematics and with many practical applications, π keeps turning up. “There it is again!” says the student, thus joining the ranks of mathematicians for whom mathematics seems less like an artifact invented and more like a natural phenomenon discovered.

                — Adam Brooks Webber

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