It aims to supplement and perfect the existing design method of conjunctive graphs, and put forward the idea of its practical application. First it derives all conjunctive solutions using the procedural law, then based on this, makes creative design of complex conjunction graph from the view of geometric transformation. It gives the general method to form the rotational symmetry graph and the axis of symmetry graph through the simple conjunctive graphs, and the special rule that how the square to form the conjunctive graphs. Then based on this, it puts forward the thought of "Boolean fit", and creates a new kind of conjunctive graphs. Finally it puts forward the application value of the theory under the contemporary design field and the design trend of thought.