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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 ...
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 /
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.
The second volume applies the theorems of the first volume to many games, including nim, sprouts, dots and boxes, Sylver coinage, philosopher's phutball, fox and geese. A final section on puzzles analyzes the Soma cube, Rubik's Cube, peg solitaire, and Conway's Game of Life.
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.
Play the classic trick-taking card game. Lead with your strongest suit and work with your partner to get 2 points per hand.
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.