Before revision:  In this study, to simulate the equilibration, we developed a relaxation algorithm just based on one simple geometrical rule . The simulated relaxation changed the polygonal cell of  Voronoi network from  ellipse's inscribed polygon toward  ellipse's maximal inscribed polygon.
After revision:  In this study, to simulate the equilibration, we developed a relaxation algorithm just based on one simple geometrical rule was developed to simulate the equilibration. The proposed algorithm was implemented in Python language. The simulated relaxation changed the polygonal cell of Voronoi network from ellipse's inscribed polygon toward ellipse's maximal inscribed polygon.