Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Internet Mathematics Library

Minimal Surfaces and Soap Bubbles

_____________________________________
Library Home || Full Table of Contents || Suggest a Link || Library Help
_____________________________________

Visit this site: http://math.berkeley.edu/~sethian/Movies/Movieminimal.html

Author:J. A. Sethian
Description: 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
Languages: English
Resource Types: Video, Articles
Math Topics: Differential Geometry

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies.The Math Forum is a research and educational enterprise of the Drexel University School of Education.