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:
“Children can’t make their own rules and no child is happy without them. The great need of the young is for authority that protects them against the consequences of their own primitive passions and their lack of experience, that provides with guides for everyday behavior and that builds some solid ground they can stand on for the future.”
—Leontine Young (20th century)
“Unfortunately, we cannot rely solely on employers seeing that it is in their self-interest to change the workplace. Since the benefits of family-friendly policies are long-term, they may not be immediately visible or quantifiable; companies tend to look for success in the bottom line. On a deeper level, we are asking those in power to change the rules by which they themselves succeeded and with which they identify.”
—Anne C. Weisberg (20th century)
“The great challenge which faces us is to assure that, in our society of big-ness, we do not strangle the voice of creativity, that the rules of the game do not come to overshadow its purpose, that the grand orchestration of society leaves ample room for the man who marches to the music of another drummer.”
—Hubert H. Humphrey (1911–1978)