A Geometric Study of Ruled Surfaces Generated by Frenet Vectors via N-Pedal Curves in E3

This study conducts a geometric investigation of ruled surfaces generated by the tangent, normal, and binormal unit vectors of arc-length parameterized space curves. Utilizing the N-pedal curve construction as a foundational approach, the analysis addresses fundamental geometric properties, including curvature behavior, striction curve geometry, and the distribution parameter. The proposed framework is further applied to computational geometry and geometric modeling, yielding results with relevance to both theoretical research and engineering applications. The findings establish essential geometric principles while offering practical tools for advanced modeling and analysis.