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The Game of Life, also known simply as 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 configuration and ...
LifeWiki's homepage. LifeWiki is a wiki dedicated to Conway's Game of Life. It hosts over 2000 articles on the subject and a large collection of Life patterns stored in a format based on run-length encoding that it uses to interoperate with other Life software such as Golly.
golly .sourceforge .net. Golly is a tool for the simulation of cellular automata. It is free open-source software written by Andrew Trevorrow and Tomas Rokicki; [3] it can be scripted using Lua [1] or Python . It includes a hashlife algorithm that can simulate the behavior of very large structured or repetitive patterns such as Paul Rendell's ...
A 2-spot game of Sprouts. The game ends when the first player is unable to draw a connecting line between the only two free points, marked in green. The game is played by two players, [2] starting with a few spots drawn on a sheet of paper. Players take turns, where each turn consists of drawing a line between two spots (or from a spot to ...
Methuselah (cellular automaton) The die hard Methuselah lives for 130 generations before all cells die. In cellular automata, a methuselah is a small "seed" pattern of initial live cells that take a large number of generations in order to stabilize. More specifically, Martin Gardner defines them as patterns of fewer than ten live cells which ...
In a cellular automaton, a gun is a pattern with a main part that repeats periodically, like an oscillator, and that also periodically emits spaceships. There are then two periods that may be considered: the period of the spaceship output, and the period of the gun itself, which is necessarily a multiple of the spaceship output's period.
John Horton Conway. John Horton Conway FRS (26 December 1937 – 11 April 2020) was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He also made contributions to many branches of recreational mathematics, most notably the invention of the cellular automaton ...
Winning Ways for Your Mathematical Plays. Winning Ways for Your Mathematical Plays (Academic Press, 1982) by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy is a compendium of information on mathematical games. It was first published in 1982 in two volumes. The first volume introduces combinatorial game theory and its foundation in the ...
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