Parametric Equations for Space Curves Whose Spherical Images Are Slant Helices

  •  Abderrazzak EL HAIMI    
  •  Malika IZID    
  •  Amina OUAZZANI CHAHDI    


The curve whose tangent and binormal indicatrices are slant helices is called a slant-slant helix.

In this paper, we give a new characterization of a slant-slant helix and determine a vector differential equation of the third order satisfied by the derivative of principal normal vector fields of a regular curve. In terms of solution, we determine the parametric representation of the slant-slant helix from the intrinsic equations.

Finally, we present some examples of slant-slant helices by means of intrinsic equations.

This work is licensed under a Creative Commons Attribution 4.0 License.