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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 ...
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.
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.
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.
A rake, in the lexicon of cellular automata, is a type of puffer train, which is an automaton that leaves behind a trail of debris.In the case of a rake, however, the debris left behind is a stream of spaceships, [1] which are automata that "travel" by looping through a short series of iterations and end up in a new location after each cycle returns to the original configuration.
For instance, he discussed Conway's game of Sprouts (July 1967), Hackenbush (January 1972), and his angel and devil problem (February 1974). In the September 1976 column, he reviewed Conway's book On Numbers and Games and even managed to explain Conway's surreal numbers. [14] Conway was a prominent member of Martin Gardner's Mathematical ...
Use this template to create an interactive instance of Conway's Game of Life Template parameters [Edit template data] This template prefers block formatting of parameters.
The fumarole, a period-5 oscillator in Conway's Game of Life.The two live cells appearing at the top of the pattern every five generations are considered a spark. In Conway's Game of Life and similar cellular automaton rules, a spark is a small collection of live cells that appears at the edge of some larger pattern such as a spaceship or oscillator, then quickly dies off.