General Helices in the 3-dimensional Dual Space

In this paper, we introduce generalized helices in the three-dimensional dual space D³ as dual curves of a real parameter, whose tangent vector makes a constant inner product with a fixed dual vector. Necessary and sufficient conditions for curve to be a dual generalized helix are expressed in terms of the Frenet invariants of the real part. It is shown that there is a family of generalized helices that share the same axis and have identical real parts, while their dual parts differ.