For a three translational hybrid mechanism with three degrees of freedom,an efficient synthesis methodology and a novel analysis approach were proposed from the view of fractal theory and topological graph.Firstly,the basic concept of the topology graph and the fractal theory were introduced.Secondly,the kinematic characteristics and algorithm were expounded.Thirdly,the model between the hybrid mechanism and fractal theory was established.And the procedure of methodology of type synthesis was concluded in d...