Characterizations of a helicoid and a catenoid

Year 2022, Volume: 51 Issue: 4, 1005 - 1012, 01.08.2022

Zuhal Kucukarslan Yuzbasi , Dae Won Yoon

https://doi.org/10.15672/hujms.881876

Cited By: 3

Abstract

In the present article, we consider a parametric surface generated by the Frenet frame of a curve, and study the minimality condition for the surface. As a result, we give characterizations of a helicoid and a catenoid. Finally we show some examples of minimal surfaces generated by a circle and a helix.

Keywords

minimal surface, catenoid, helicoid, marching-scale function

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