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An Approximation of a Catenoid Constructed from Piecewise Truncated Conical Minimal Surfaces by Ebisu, Akihito; Machigashira, Yoshiroh is a scholarly article available to read on EtoBox.

What is An Approximation of a Catenoid Constructed from Piecewise Truncated Conical Minimal Surfaces about?

We consider an appoximation of a catenoid constructed from "odd" truncated cones that maintains minimality in a certain sense. Thorough this procedure, we obtain a discrete curve approximating a catenary by exploiting the fact that it is the function that generates a catenoid. In this investigation, the theory of the Gauss hypergeomtric functions plays an important role. This work is a sequel to [Y.Machigashira, Piecewise truncated conical minimal surfaces and the Gauss hypergeometric functions, Journal of Math-for-Industry 4(2012), pp. 25-33 ]. The paper covers an appoximation of a catenoid constructed from "even" truncated cones that maintains minimality in the same sense. Keywords: catenary, catenoid, truncated cone, hypergeomtric function, Chebyshev polynomial of the third kind.

Author

Ebisu, Akihito; Machigashira, Yoshiroh

Published

2012

Language

EN