@article{article_283200, title={Directional Bertrand Curves}, journal={Gazi University Journal of Science}, volume={31}, pages={202–211}, year={2018}, author={Dede, Mustafa and Ekici, Cumali}, keywords={Bertrand Curves, offset, Frenet frame}, abstract={<p>It is well known that a characteristic property of the Bertrand curve is </p> <p>the existence of a linear relation between its curvature and torsion. In this </p> <p>paper, we propose a new method for generating Bertrand curves, which </p> <p>avoids the basic restrictions. Our main result is that every space curve is </p> <p>a directional Bertrand curve with in nite directional Bertrand mates. </p>}, number={1}, publisher={Gazi University}