Tile Automaton: A Model for an Architecture of a Living System

To understand an architecture of a living system, “Tile Automaton” is introduced as an abstract model of chemical reaction of molecules scattered over a space. The model consists of tiles of various shapes that stand for molecules. The chemical reaction, induced by the collisions of tiles, is represented by the change of the tile shapes. The rules for reaction are deterministic, and the evolution of the system strongly depends on mutual spatial relationship among tiles. The evolution often leads to self-organization of a “factory,” a set of tiles that produces tiles continuously and keeps its structure. Several interesting phenomena, such as a deformation or a division of a factory, are also observed. It is proposed that the formation of the factory is due to the interference between different aspects of tiles—the shape and the motion. The concept of “entanglement” is introduced as a mechanism of living systems.