Alkan A.Önder M.2024-07-222024-07-22202314062283http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/11709A new kind of partner curves called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, C-slant helix and rectifying curve are constructed. © 2023, University of Tartu Press. All rights reserved.EnglishAll Open Access; Bronze Open Access; Green Open AccessOsculating mate of a Frenet curve in the Euclidean 3-spaceArticle10.12697/ACUTM.2023.27.13