Abderrazak El Haimi, Malika Izid and Amina Ouazzani Chahdi
Abstract. In this paper, we give a new characterization of a k-slant helix which is a generalization
of general helix and slant helix. Thereafter, we construct a vector differential equation
of the third order to determine the parametric representation of a k-slant helix according to
standard frame in Euclidean 3-space. Finally, we apply this method to find the position vector
of some examples of 2-slant helix by means of intrinsic equations.