Translation surfaces generating with some partner curve

Year 2024, Volume: 73 Issue: 1, 165 - 177, 16.03.2024

Aykut Has , Beyhan Yılmaz

https://doi.org/10.31801/cfsuasmas.1299533

Abstract

In this article, generating curves of translation surfaces are paired with some special curve pairs. With the results obtained from these pairings, the developable and minimal translation surfaces are characterized. In addition, the surface curvatures of the translation surface are obtained. For a better understanding of the results, examples are given and their drawings are made with the help of Mathematica.

Keywords

Translation surface, Bertrand partner curve, Mannheim partner curve, involute-evolute curves

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