The thesis is mainly based on analyzing convex polygons about its shortest path from the equal-division point of edges to the original departure point. The path must be point to point (equal division) and parallel with one another. There are three contents of the research. First, exploring convex regular polygons through graphics. Second, discussing on the special quadrilaterals which are taught in junior high school, such as parallelogram, rectangle, rhombus, koto shape and trapezoid. Last, analyzing the circumstances of general convex polygons, and infer a conclusion that general polygons have their regularity. According to its regularity, we can come up with a formula. If this inference method can be integrated into the geometry curriculum of the eighth grade of junior high school, it’ll be feasible to train students to think logically and lead to more fun for them in learning mathematics.