Abstract
In this study, we investigate how to construct hypersurfaces using an asymptotic curve in the 4D Galilean space [Formula: see text]. Then, by utilizing the Serret–Frenet frame, we give the conditions that a curve becomes asymptotic on a hypersurface when the marching-scale functions are three types of functions. After then, an example connected to our method is given for the aim of visibility.
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