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The Game of Life was invented by John Conway (as you might have gathered). The game is played on a field of cells, each of which has eight neighbors (adjacent cells). A cell is either occupied (by an organism) or not. The rules for deriving a generation from the previous one are these:

Death If an occupied cell has 0, 1, 4, 5, 6, 7, or 8 occupied neighbors, the organism dies (0, 1 neighbors: of loneliness; 4 thru 8: of overcrowding). Survival If an occupied cell has two or three neighbors, the organism survives to the next generation. Birth If an unoccupied cell has three occupied neighbors, it becomes occupied.

Greatis Life includes screensaver based on TLife component. This screensaver has many settings that allow to change Life's logic and visualization.