This study structurally analyzes the algorithmic filtering process by which generative AI images are either selected or discarded before reaching users, and models this process through a visual similarity–based simulation. Images generated by Stable Diffusion are placed on a two-dimensional grid, and a modified version of Conway’s Game of Life algorithm is applied to update the state of each cell. The survival of each cell is determined based on a hybrid visual similarity metric combining CLIP and LPIPS. To prevent the rigidity of the simulation and sustain emergent dynamics, random image injections are periodically introduced. The simulation results reveal that visually similar images repeatedly form clusters, and a visual order gradually converges toward a structurally stabilized state. This suggests that specific visual orders can emerge solely from algorithmic selection criteria, independent of human interpretation. By shifting focus from semantic or symbolic analysis to the experimental conditions for the existence and persistence of images, this study proposes a new analytical perspective for understanding digital image environments.