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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 3

Developable normal surface pencil

Mustafa Dede(KILIS 7 ARALIK UNIVERSITY)0000-0003-2652-637X
Sayfa
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Yayın Tarihi
2023-09-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then several new examples of developable normal surface pencil are constructed from these conditions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce a new class of surfaces, called as normal surface pencil.
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Temel Bulgular & Veri:We parameterize a normal surface pencil by using the principal normal vector $\mathbf{n}$ and the binormal vector $\mathbf{b}$ of the Frenet frame of a space curve $\alpha(s)$ as follows $\varphi(s,t)=\alpha(s)+y(s,t)\mathbf{n}+z(s,t)\mathbf{b}.$ A well known example of normal surface pencil is a canal surface.
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Sonuç & Katkı:Then several new examples of developable normal surface pencil are constructed from these conditions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Flat surfaces · Gauss curvature · surface pencil

Abstract

In this paper, we introduce a new class of surfaces, called as normal surface pencil. We parameterize a normal surface pencil by using the principal normal vector $\mathbf{n}$ and the binormal vector $\mathbf{b}$ of the Frenet frame of a space curve $\alpha(s)$ as follows $\varphi(s,t)=\alpha(s)+y(s,t)\mathbf{n}+z(s,t)\mathbf{b}.$ A well known example of normal surface pencil is a canal surface. Finally, we propose the sufficient conditions of a normal surface pencil being a developable surface. Then several new examples of developable normal surface pencil are constructed from these conditions.

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Bu Makaleye Atıf Yap

Dede, M. (2023). Developable normal surface pencil. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 3. https://doi.org/10.31801/cfsuasmas.1127781

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