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:
“The values by which we are to survive are not rules for just and unjust conduct, but are those deeper illuminations in whose light justice and injustice, good and evil, means and ends are seen in fearful sharpness of outline.”
—Jacob Bronowski (1908–1974)
“There is no country in which so absolute a homage is paid to wealth. In America there is a touch of shame when a man exhibits the evidences of large property, as if after all it needed apology. But the Englishman has pure pride in his wealth, and esteems it a final certificate. A coarse logic rules throughout all English souls: if you have merit, can you not show it by your good clothes and coach and horses?”
—Ralph Waldo Emerson (1803–1882)
“The new grammar of race is constructed in a way that George Orwell would have appreciated, because its rules make some ideas impossible to express—unless, of course, one wants to be called a racist.”
—Stephen Carter (b. 1954)