|
In mathematics, a minimal surface is a surface with mean
curvature of zero, or, equivalently, a surface of minimum area subject to
constraints on the location of its boundary. Examples of minimal surfaces include catenoids and helicoids.
A soap film stretched within a framework is a physically realizeable minimal
surface. It has helical edges which can be observed if the framework is 1/2 inch plexiglass tubes.
Minimal surfaces have become an area of intense mathematical and scientific study over the past 15 years, specifically in the
areas of molecular engineering and materials science, due to their anticipated nanotechnology applications.
- See also: soap bubble.
|