Rules
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, alive or dead. Every cell interacts with its eight neighbours, which are the cells that are 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 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 overcrowding.
- Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction.
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 occur 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 preceding one). The rules continue to be applied repeatedly to create further generations.
Read more about this topic: Conway's Game Of Life
Famous quotes containing the word rules:
“In really hard times the rules of the game are altered. The inchoate mass begins to stir. It becomes potent, and when it strikes,... it strikes with incredible emphasis. Those are the rare occasions when a national will emerges from the scattered, specialized, or indifferent blocs of voters who ordinarily elect the politicians. Those are for good or evil the great occasions in a nation’s history.”
—Walter Lippmann (1889–1974)
“Playing games with agreed upon rules helps children learn to live by rules, establish the delicate balance between competition and cooperation, between fair play and justice and exploitation and abuse of these for personal gain. It helps them learn to manage the warmth of winning and the hurt of losing; it helps them to believe that there will be another chance to win the next time.”
—James P. Comer (20th century)
“The young break rules for fun. The old for profit.”
—Mason Cooley (b. 1927)