Abstract
Elsewhere we gave a parametrization of the Mylar balloon in terms of elliptic functions. Here, we parametrize other linear Weingarten surfaces using the incomplete Beta function and the hypergeometric function. We also provide a corresponding variational characterization and Maple procedures which plot the linear Weingarten surfaces.
Information
Published: 1 January 2007
First available in Project Euclid: 13 July 2015
zbMATH: 1123.53006
MathSciNet: MR2341209
Digital Object Identifier: 10.7546/giq-8-2007-246-263
Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences