The article explores a type of random walk called "fractional random walk" (FRW) and its behavior on different types of lattices. The researchers focus on how the FRW moves between nodes and whether it keeps revisiting certain nodes or moves away indefinitely. They find that in the long run, the path taken by the FRW forms a fractal shape with symmetrical patterns. This study sheds light on how random walks can lead to complex patterns and behaviors in various systems.