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Conway's Game of Life. 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 ...
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 ...
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 .
Conway's Game of Life is an example of an outer totalistic cellular automaton with cell values 0 and 1; outer totalistic cellular automata with the same Moore neighborhood structure as Life are sometimes called life-like cellular automata. Related automata. There are many possible generalizations of the cellular automaton concept.
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 ...
LifeWiki was founded in 2009 by Nathaniel Johnston, a professor of mathematics and computer science at Mount Allison University, as part of the ConwayLife site founded in 2008 by Johnston. [5] [6] It serves as a focal point for one of the many mathematical communities John Horton Conway 's work brought into being, [7] a starting point for 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. For many years this glider gun was the smallest one known in Life, although other rules had smaller guns.
In Conway's Game of Life R-pentomino to stability in 1103 generations. In Conway's Game of Life, one of the smallest methuselahs is the R-pentomino, a pattern of five cells first considered by Conway himself, that takes 1103 generations before stabilizing with 116 cells.
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