Tuesday, September 21, 2021

"Minimal Surfaces": soap films follow the laws of calculus

Bulle de savon hélicoïde

 

The Action Lab described “Minimal Surfaces” as “The Shapes that Help Us Understand Black Holes”.

A minimal surface (which you see in reality with a soap bubble held by surface tension) is one where the second derivative of the curvature at any point is zero.

That’s not the same thing as the minimum surface area – which will be attained by a perfect sphere.

Wikipedia: embed of a helicoid, click for attribution.  Another kind of minimal surface will be the catenoid.

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