Translation surfaces generating with some partner curve

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:73 Issue:1
Translation surfaces generating with some partner curve

Translation surfaces generating with some partner curve

Authors : Aykut Has, Beyhan Yılmaz

Pages : 165-177

Doi:10.31801/cfsuasmas.1299533

View : 46 | Download : 89

Publication Date : 2024-03-16

Article Type : Research Paper

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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