Year: 2026
Type: article
Abstract: In this paper, we introduce the $\mathcal{W}$-direction curve constructed from the unit generalized Darboux vector of a Frenet curve in $n$-dimensional Euclidean space $\mathbb{E}^n$. We derive the higher-order derivatives of the associated curve and determine its Frenet vectors and curvatures. The computational procedure is implemented via an algorithm developed in MATLAB. Finally, a representative example is provided to illustrate the applicability of the proposed method.
Author: Bedia Merih Özçetin Vatansever
Institution: İstanbul Gelişim Üniversitesi
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7203627891