Smarandache curves of some special curves in the Galilean
H. S. Abdel-Aziz, M. Khalifa Saad
TL;DR
This paper investigates special curves and their Smarandache counterparts in Galilean 3-space, establishing curvature conditions, providing examples, and visualizations to deepen understanding of these geometric entities.
Contribution
It introduces curvature-based conditions for special and Smarandache curves in Galilean 3-space, with illustrative examples and visualizations.
Findings
Derived conditions for special curves in Galilean space
Constructed examples of Smarandache curves
Visualized the curves through plotting
Abstract
In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean 3-space. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Algebraic Geometry and Number Theory