Smarandache Curves in Euclidean 3-Space

Abstract

In this paper, Smarandache curves according to a modified orthogonal
frame with torsion in E
3
are introduced. At first, the relation between the
modified orthogonal frame with torsion and the Frenet frame is recalled.
We provide characterisations of these Smarandache curves in terms of their
Frenet frame. Finally, a few examples with their graphics are presented.