On Alfred Gray's Elliptical Catenoid
Hugo Jim\'enez-P\'erez, Santiago L\'opez de Medrano
TL;DR
This paper provides a new parameterization of Alfred Gray's Elliptical Catenoid and Helicoid using Jacobi's elliptic functions, improving upon previous representations by addressing certain issues.
Contribution
It introduces a novel parameterization method for these surfaces that overcomes limitations of earlier descriptions.
Findings
Simplifies the mathematical description of the surfaces
Addresses issues in the original parameterizations
Enhances understanding of elliptical minimal surfaces
Abstract
We give a parameterization of Alfred Gray's Elliptical Catenoid and Elliptical Hellicoid using Jacobi's elliptic functions. This parameterization avoids some problems present in the original depiction of these surfaces.
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Taxonomy
TopicsHistory and Theory of Mathematics · Philosophy and History of Science · History of Science and Medicine