Alkan, AkınKocayi?it, HüseyinAğirman Aydin, Tuba2026-02-282026-02-282024https://doi.org/10.47000/tjmcs.1310722https://search.trdizin.gov.tr/tr/yayin/detay/1291148https://hdl.handle.net/20.500.12403/5872In this study, we consider D<inf>i</inf>-Darboux slant helices which are new surface curves on an oriented surface. We give some characterizations for such curves according to the Darboux frame, OD-frame, ND-frame, RD-frame, and obtain axes of the D<inf>i</inf>-Darboux slant helices. Moreover, the position vectors of the D<inf>i</inf>-Darboux slant helices are obtained. © MatDer.eninfo:eu-repo/semantics/openAccessDn-Darboux slant helixDo-Darboux slant helixDr-Darboux slant helixhelixisophote curverelatively normal-slant helixArticle16238639910.47000/tjmcs.13107222-s2.0-85214385282Q41291148