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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 1

Translation surfaces generating with some partner curve

Aykut Has(KAHRAMANMARAS SUTCU IMAM UNIVERSITY)0000-0003-0658-9365
Beyhan Yılmaz(KAHRAMANMARAS SUTCU IMAM UNIVERSITY)0000-0002-5091-3487
Pages
—
Publication Date
2024-03-16
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

For a better understanding of the results, examples are given and their drawings are made with the help of Mathematica.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, generating curves of translation surfaces are paired with some special curve pairs.
📊
Key Findings & Data:With the results obtained from these pairings, the developable and minimal translation surfaces are characterized.
💡
Conclusion & Impact:For a better understanding of the results, examples are given and their drawings are made with the help of Mathematica.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Translation surface · Bertrand partner curve · Mannheim partner curve

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.

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Cite This Article

Has, A., Yılmaz, B. (2024). Translation surfaces generating with some partner curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 1. https://doi.org/10.31801/cfsuasmas.1299533

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