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Seashell

logarithmic growth, after Moseley, 1838

A shell grows by adding to its mouth without changing shape, so its outline follows an exponential spiral. Here the shell grows a turn and a half, then starts again.

(2(1 − e^(u/6π)) cos u cos²(v/2), …, 1 − e^(u/3π) − sin v + e^(u/6π) sin v)

On mathcurve.com as Coquillage

Drawn as

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