Framed Clad Helices in Euclidean 3-Space

Abstract

In this study, we introduce framed clad helices, which are a generalization of Clad (C-slant or 2-slant) helices in Euclidean 3-space and include framed helices and framed slant helices. Next, we provide a characterization of the framed clad helices using the alternative adapted frame, which is more useful than the adapted frame of a framed curve. We prove the existence of framed spherical images of any framed curve using alternative adapted frames. Additionally, we obtain interesting results regarding the relationship between a framed clad helix and its framed spherical images. Finally, we support the concept with some nice graphics.