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The Game of Life, also known as Conway's Game of Life or simply Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970. [1] It is a zero-player game , [ 2 ] [ 3 ] meaning that its evolution is determined by its initial state, requiring no further input.
A sample autonomous pattern from Lenia. An animation showing the movement of a glider in Lenia. Lenia is a family of cellular automata created by Bert Wang-Chak Chan. [1] [2] [3] It is intended to be a continuous generalization of Conway's Game of Life, with continuous states, space and time.
For example, in Conway's Game of Life, the ability of the glider (Life's simplest spaceship) to transmit information is part of a proof that Life is Turing-complete. In March 2016, the unexpected discovery of a small but high-period spaceship enthused the Game of Life community. It was named "copperhead". [1]
R-pentomino to stability in 1103 generations. In Conway's Game of Life, one of the smallest methuselahs is the R-pentomino, [2] a pattern of five cells first considered by Conway himself, [3] that takes 1103 generations before stabilizing with 116 cells.
The glider is a pattern that travels across the board in Conway's Game of Life. It was first discovered by Richard K. Guy in 1969, while John Conway's group was attempting to track the evolution of the R-pentomino. Gliders are the smallest spaceships, and they travel diagonally at a speed of one cell every four generations, or /
Bill Gosper discovered the first glider gun in 1970, earning $50 from Conway. The discovery of the glider gun eventually led to the proof that Conway's Game of Life could function as a Turing machine. [3] For many years this glider gun was the smallest one known in Life, [4] although other rules had smaller guns.
Evolution of an MSM breeder – a puffer that produces Gosper guns, which in turn emit gliders.. In cellular automata such as Conway's Game of Life, a breeder is a pattern that exhibits quadratic growth, by generating multiple copies of a secondary pattern, each of which then generates multiple copies of a tertiary pattern.
Chaotic diamonds in the Diamoeba (B35678/S5678) rule Exploding chaos in the Seeds (B2/S) rule Conway's Game of Life (B3/S23) Anneal (B4678/S35678) There are 2 18 = 262,144 possible Life-like rules, only a small fraction of which have been studied in any detail. In the descriptions below, all rules are specified in Golly/RLE format.