  In the present paper, firstly we give the general formulas according to first
fundamental form of a surface for different types of loxodromes, meridians and
surfaces in E^3_1. After that, we obtain the differential equations of
loxodromes on Type-I, Type-II and Type-III twisted surfaces in E^3_1 and also,
we state a theorem which generalizes the differential equations of different
types of loxodromes on the twisted surfaces for a special case. Finally, we
provide several examples for visualizing our obtained results and draw our
loxodromes and meridians on twisted surfaces with the aid of Mathematica.
