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In this article Hasimoto surfaces in Galilean space    $$G_{3}$$  G 3 will be considered, Gauss curvature ( K ) and Mean curvature ( H ) of Hasimoto surfaces    $$\chi =\chi (s,t)$$  χ = χ ( s , t ) will be investigated, some characterization of  s -curves and  t -curves of Hasimoto surfaces in Galilean space    $$G_{3}$$  G 3 will be introduced. Example of Hasimoto surfaces will be illustrated.