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Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 10 - Sayı: 10

Smarandache Curves of Salkowski Curve According to Frenet Frame

Burak Öztürk
Süleyman Şenyurt
Pages
190–201
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

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

These values are expressed depending upon theSalkowski curve.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, when the Frenet vectors of Salkowski curve are taken as the position vectors, thecurvature and the torsion of Smarandache curves are calculated.
📊
Key Findings & Data:In this paper, when the Frenet vectors of Salkowski curve are taken as the position vectors, thecurvature and the torsion of Smarandache curves are calculated.
💡
Conclusion & Impact:These values are expressed depending upon theSalkowski curve.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, when the Frenet vectors of Salkowski curve are taken as the position vectors, thecurvature and the torsion of Smarandache curves are calculated. These values are expressed depending upon theSalkowski curve.

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Cite This Article

Öztürk, B., Şenyurt, S. (2022). Smarandache Curves of Salkowski Curve According to Frenet Frame. Turkish Journal of Mathematics and Computer Science, Cilt: 10 - Sayı: 10, 190–201. https://ajindex.com/articles/609185

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References (5)

  1. Ali, A.T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2(2010), 30–36
  2. Bektaş, O., Yüce, S., Special Smarandache Curves According to Dardoux Frame in Euclidean 3-Space, Romanian Journal of Mathematics and Computer Science, 3(1)(2013), 48–59
  3. Turgut, M., Yilmaz, S., Smarandache Curves in Minkowski Space-Time, International J.Math. Combin., 3(2008), 51–55
  4. Salkowski, E., Zur Transformation von Raumkurven, Mathematische Annalen, 4(66)(1909), 517–557
  5. J. Monterde, Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Computer Aided Geometric Design, 26(2009), 271–278.