In this paper, we introduce principal normal-based, first binormal-based, and second binormal-based curves defined along the Frenet frame of a curve in four-dimensional Euclidean space. For each derived curve, we obtain the corresponding Frenet vectors and curvature functions and express them factoring in the original curve. Furthermore, we provide an illustrative example of each case to demonstrate the geometric characteristics and validate the derived formulations.
Bedia Merih Özçetin Vatansever (Mon,) studied this question.