The Game of Life, also known simply as Life, is a zero-player game, where its evolution is determined by its initial state, requiring no further input.

The cells evolve following these rules:

• Any live cell with fewer than two live neighbours dies, as if caused by under-population.
• Any live cell with two or three live neighbours lives on to the next generation.
• Any live cell with more than three live neighbours dies, as if by over-population.
• Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction.

Wikipedia Article