Journal of New Theory, no.35, pp.45-57, 2021 (Peer-Reviewed Journal)
Helical curves are constructed by the property that their unit tangents
make a constant angle with a chosen constant direction. There are relations between
polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves.
The aim of this paper is to obtain a method which generate PH-curves and PH-helical
curves from a planar curve in Euclidean Space En+1. Furthermore, some examples
are given in E4 and E5 to explain the method neatly.