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Pi and the Meandering Paths of Rivers

Author: Maria Popova / Source: Brain Pickings

Pi and the Meandering Paths of Rivers

“Rivers run through our civilisations like strings through beads,” Olivia Laing wrote in her stunning meditation on life, loss, and the meaning of rivers. “There is a mystery about rivers that draws us to them, for they rise from hidden places and travel by routes that are not always tomorrow where they might be today.

But this chaotic, civilization-strewing mystery may be underpinned by one of the most elemental mathematical truths of nature.

In her splendid ode to pi, the Nobel-winning Polish poet Wisława Szymborska extolled it as “the admirable number… nudging, always nudging a sluggish eternity to continue.” On the second day of spring in 1996, the Cambridge University earth scientist Hans-Henrik Stølum published a paper announcing his astonishing finding that pi is also nudging, always nudging, the bendy paths of the world’s rivers to continue their seemingly chaotic meanderings — in a mathematically predictable pattern. His simulation, using empirical data and fluid dynamics modeling, found that the oscillating paths of rivers — their sinuosity, calculated by dividing the river’s actual meandering length by the length of the direct line drawn from source to sea — average 3.14.

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