Some Special Dual Direction Curves

In this paper, some special associated dual curves called dual involute-evolute-direction curves, dual Bertrand-direction curves, and dual Mannheim-direction curves are defined. Some relations between dual Frenet vectors and dual curvatures of these dual associated curves are given. Furthermore, useful methods to construct unit speed dual slant helices from unit speed dual helices by using dual involute-evolute-direction curves and dual Mannheim-direction curves are presented