Abstract
The “Game of Life” acquires the property of significant behavior, such as universal computation, selforganized criticality and 1/f fluctuation, which depends on initial configurations. Our research investigates the relationship between the transient behavior starting from random initial configurations and array size in the Game of Life. The simulations show that the average transient time ‹T› increases logarithmically with square array size N×N, ‹T›∼logN in null and periodic boundary conditions. This result suggests that the duration of 1/f fluctuation in the “Game of Life” lengthens infinitely in infinite array size.
