John Conway's Game of Life
The Rules
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.
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