Senyurt, SuleymanKaya, Filiz ErtemCanli, Davut2024-11-072024-11-0720242473-6988https://doi.org/10.3934/math.2024981https://hdl.handle.net/11480/15960In this study, first the pedal curves as the geometric locus of perpendicular projections to the Frenet vectors of a space curve were defined and the Frenet vectors, curvature, and torsion of these pedal curves were calculated. Second, for each pedal curve, Smarandache curves were defined by taking the Frenet vectors as position vectors. Finally, the expressions of Frenet vectors, curvature, and torsion related to the main curves were obtained for each Smarandache curve. Thus, new curves were added to the curve family.eninfo:eu-repo/semantics/openAccesspedal curvesFrenet apparatusT -pedal curveN -pedal curveB -pedal curveSmarandache curvesArticle98201362016210.3934/math.20249812-s2.0-85196559236Q2WOS:001251791200007N/A