The family of unduloids includes shapes ranging from very thin to almost spherical, depending on the diameter of the thread and the volume of liquid in the blob. The shape of the curve is a result of the equality of pressure throughout the blob, which means that the total curvature at all points on the surface must be the same. The total curvature is the sum as the curvatures in two planes at right angles, and so varies from one blob to the next. A common property of all unduloids, however, is that they have a constant non-zero mean curvature.
Related category PLANE CURVES
Home • About • Copyright © The Worlds of David Darling • Encyclopedia of Alternative Energy • Contact