On the Rule of the Lissajous's Figure Variety

The Lissajous' figure variety in several conditions is drawn by the geometer's sketchpad.The process is related to the locus shape of Lissajous' figure with not only the circle frequency rate of two vibrations and initial phase difference but also the initial phase of φ1 and φ2.Then the rule of the Lissajous' figure variety is concluded.