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The universe of the Game of Life is an infinite two-dimensional orthogonal grid
of square cells, each of which is in one of two possible states, live or dead. Every
cell interacts with its eight neighbours, which are the cells that are directly
horizontally, vertically, or diagonally adjacent. At each step in time, the following
transitions occur:
- Any live cell with fewer than two live neighbours dies, as if by loneliness.
- Any live cell with more than three live neighbours dies, as if by overcrowding.
- Any live cell with two or three live neighbours lives, unchanged, to the next generation.
- Any dead cell with exactly three live neighbours comes to life.
The initial pattern constitutes the 'seed' of the system. The first generation is
created by applying the above rules simultaneously to every cell in the seed — births
and deaths happen simultaneously, and the discrete moment at which this happens
is sometimes called a tick. (In other words, each generation is a pure function
of the one before.) The rules continue to be applied repeatedly to create further
generations.
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