A New Method to Obtain PH-Helical Curves in En+1

Objective & Hypothesis:Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction.

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Key Findings & Data:The aim of this paper is to obtain a method which generate PH-curves and PH-helical curves from a planar curve in Euclidean Space En+1.

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Conclusion & Impact:Furthermore, some examples are given in E4 and E5 to explain the method neatly.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Domain Parameters

Abstract

Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves. The aim of this paper is to obtain a method which generate PH-curves and PH-helical curves from a planar curve in Euclidean Space En+1. Furthermore, some examples are given in E4 and E5 to explain the method neatly.

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Cite This Article

MOLLAOĞULLARI, A., GÜMÜŞ, M., İLARSLAN, K., CAMCI, Ç. (2022). A New Method to Obtain PH-Helical Curves in En+1. Journal of New Theory, Cilt: 2021 - Sayı: 37, 45–57. https://ajindex.com/articles/565754

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