Minimal Surfaces and Soap Bubbles
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|J. A. Sethian|
|Level Set Methods for Minimal Surfaces. A paper and movie about soap bubbles. Given a wire frame, how can one find a minimal surface that spans the frame? Motion under curvature provides an appealing way to find the surface. To illustrate the idea, what is the "minimal" curve connecting two points? Although its obvious that the straight line connecting the two points is the minimal curve, a different way to construct the minimal surfaces begins with any curve at all connecting the two points. If this initial curve moves according to its curvature, and is forced to stay attached to the endpoints, then the kinks will disappear and the curve will straighten itself out.|
|Levels:||High School (9-12), College|
|Resource Types:||Video, Articles|
|Math Topics:||Differential Geometry|
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