Exploring helices in Minkowski $3$-space E₁³

This study focuses on the geometric exploration of helices in Minkowski $3-$ space. For this purpose, we study the problem of constructing a spacelike general helix, slant helix, or Darboux helix with a timelike principal from a given plane curve, fixed vector, and constant angle. We obtain a parametric representation for the helices whose projection is onto the plane P perpendicular to the fixed vector U share the same fixed vector. In addition, we furnish various illustrative examples showcasing the geometric characteristics of these helices.