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Journals / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2026 / Volume: 11 Issue: 2

Double and Type (3,0) Minkowski Pythagorean Hodograph Curves

Aziz Yazla(SELCUK UNIVERSITY)0000-0003-3720-9716
Muhammed Talat Sarıaydın(Selçuk Üniversitesi)0000-0002-3613-4276
Pages
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Publication Date
2022-06-30
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AI Summary & Key Takeaways

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

Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves.
📊
Key Findings & Data:Firstly, we obtained the conditions for a MPH curve to be a DMPH curve.
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Conclusion & Impact:Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Double Minkowski Pythagorean hodograph curve · Minkowski-Hopf map · Type (n

Abstract

In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves. Firstly, we obtained the conditions for a MPH curve to be a DMPH curve. Then, we examined these conditions in split quaternion form. Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.

Özet

In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves are studied. Firstly, the conditions for a MPH curve to be a DMPH curve are obtained. Then, these conditions are examined in split quaternion form. Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.

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Cite This Article

Sarıaydın, M. T. (2022). Double and Type (3,0) Minkowski Pythagorean Hodograph Curves. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Volume: 11 Issue: 2. https://doi.org/10.17798/bitlisfen.1083043

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References (12)

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