B-Lift curves and its ruled surfaces

Year 2023, Volume: 72 Issue: 1, 159 - 168, 30.03.2023

Anıl Altınkaya , Mustafa Çalışkan

https://doi.org/10.31801/cfsuasmas.1074682

Cited By: 1

Abstract

In this paper, we have described the B-Lift curve in Euclidean space as a curve obtained by combining the endpoints of the binormal vector of a unit speed curve. Subsequently, we have explored the Frenet frames of the B-Lift curves. Moreover, we have introduced the tangent, normal and binormal surfaces of the B-Lift curve and examined the geometric invariants of these surfaces. Finally, we have investigated the singularities of these surface and visualized the surfaces with MATLAB program.

Keywords

B-Lift, ruled surface, minimal surface, developable surface, singular point

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