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Dergiler / 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
Sayfa
—
Yayın Tarihi
2022-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves are studied.
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Temel Bulgular & Veri:Firstly, the conditions for a MPH curve to be a DMPH curve are obtained.
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Sonuç & Katkı:Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Double Minkowski Pythagorean hodograph curve · Minkowski-Hopf map · Type (n

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.

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.

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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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  3. Farouki, R. T., Sakkalis, T. 1990. Pythagorean Hodographs. IBM Journal of Research and Development, 34(5), 736-752.
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  8. Inoguchi, J. I. 1998. Timelike Surfaces of Constant Mean Curvature in Minkowski 3-Space, Tokyo Journal of Mathematics, 21(1), 141-152.
  9. Ramis, Ç. 2013. PH Curves and Applications. M.S. Thesis, Ankara University.
  10. Yazla, A., Sariaydin, M. T. 2019. Applications of the Fermi-Walker derivative. Journal of Science and Arts, 19(3), 545-560.
  11. Yazla, A., Sariaydin, M. T. 2020. On Surfaces Constructed by Evolution According to Quasi Frame. Facta Universitatis, Series: Mathematics and Informatics, 605-619.
  12. Yazla, A., Sariaydin, M. T. Modeling with Double Minkowski Pythagorean Hodograph Curves. (Submitted)