AN APPROXIMATION OF A CATENOID CONSTRUCTED FROM PIECEWISE TRUNCATED CONICAL MINIMAL SURFACES

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概要

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• In the second authors previous work, we considered an approximation of a catenoid constructed from even truncated cones that maintains minimality in a certain sense. In this paper, we consider such an approximation consisting of odd truncated cones that maintains minimality in the same sense. Through 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 hypergeometric functions plays an important role.

• 九州大学大学院数理学研究院の論文

著者

• Machigashira Yoshiroh

  Division of Mathematical Sciences Osaka Kyoiku University

• EBISU Akihito

  Department of Mathematics Kyushu University

関連論文

• The Gaussian curvature of Alexandrov surfaces
• AN APPROXIMATION OF A CATENOID CONSTRUCTED FROM PIECEWISE TRUNCATED CONICAL MINIMAL SURFACES

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