A New Method to Obtain PH-Helical Curves in E^(n+1)

Mollaoğulları A., Gümüş M., İlarslan K., Camcı Ç.

Journal of New Theory, no.35, pp.45-57, 2021 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.53570/jnt.1027564
  • Journal Name: Journal of New Theory
  • Journal Indexes: Other Indexes
  • Page Numbers: pp.45-57
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

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.