Directional Bertrand Curves

Authors : Mustafa Dede, Cumali Ekici

Pages : 202-211

View : 16 | Download : 10

Publication Date : 2018-03-01

Article Type : Research Paper

Abstract :It is well known that a characteristic property of the Bertrand curve is the existence of a linear relation between its curvature and torsion. In this paper, we propose a new method for generating Bertrand curves, which avoids the basic restrictions. Our main result is that every space curve is a directional Bertrand curve with in nite directional Bertrand mates.
Keywords : Bertrand Curves, offset, Frenet frame