Some Special Dual Direction Curves
Abstract
In this paper, some special associated dual curves called dual involute-evolute-direction curves, dual Bertranddirectioncurves, and dual Mannheim-direction curves are defined. Some relations between dual Frenet vectorsand dual curvatures of these dual associated curves are given. Furthermore, useful methods to construct unitspeed dual slant helices from unit speed dual helices by using dual involute-evolute-direction curves and dualMannheim-direction curves are presented.