From: Ray Vickson <rvickson@engmail.uwaterloo.ca>
Subject: Re: Bubbles, Rendering, and geometry . . .
Date: Fri, 27 Oct 2000 09:46:38 -0400
Newsgroups: sci.math

See

http://www-sfb288.math.tu-berlin.de/~konrad/video/Touching/index.html

B Chen wrote:

> I know that a bubble will try to reduce its surface area due to surface
> tension.  For a free-floating bubble, this would be a sphere.  For a
> two-dimensional free-floating bubble, this is a circle.  What if the bubble
> shares a side with a flat surface?  What does the bubble look like then?
> What about a two-dimensional bubble that shares a side with a line?  I'm
> trying to do some rendering but don't really know the mathematics to find
> the bubble with a given volume (or area for 2-D bubbles) that has the least
> surface area given it is attached to a surface.  Can anyone help?

--
R. G. Vickson
Department of Management Sciences
University of Waterloo
Waterloo, Ontario, CANADA