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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. One interacts with the Game of Life by creating an initial ...
Conway came to dislike how discussions of him heavily focused on his Game of Life, feeling that it overshadowed deeper and more important things he had done, although he remained proud of his work on it. [26] The game helped to launch a new branch of mathematics, the field of cellular automata. [27] The Game of Life is known to be Turing complete.
LifeWiki's homepage. LifeWiki is a wiki dedicated to Conway's Game of Life. [1] [2] It hosts over 2000 articles on the subject [3] and a large collection of Life patterns stored in a format based on run-length encoding [4] that it uses to interoperate with other Life software such as Golly.
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 /
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.
A Garden of Eden in Conway's Game of Life, discovered by R. Banks in 1971. [1] The cells outside the image are all dead (white). An orphan in Life found by Achim Flammenkamp. Black squares are required live cells; blue x's are required dead cells. In a cellular automaton, a Garden of Eden is a configuration that has no predecessor.
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In Conway's Game of Life, oscillators had been identified and named as early as 1971. [1] Since then it has been shown that finite oscillators exist for all periods. [2] [3] [4] Additionally, until July 2022, the only known examples for period 34 were considered trivial because they consisted of essentially separate components that oscillate at smaller periods.