Search results
Results From The WOW.Com Content Network
It includes a hashlife algorithm that can simulate the behavior of very large structured or repetitive patterns such as Paul Rendell's Life universal Turing machine, [4] and that is fast enough to simulate some patterns for 2 32 or more time units. [5] It also includes a large library of predefined patterns in Conway's Game of Life and other ...
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 ...
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.
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.
There are many naturally occurring still lifes in Conway's Game of Life. A random initial pattern will leave behind a great deal of debris, containing small oscillators and a large variety of still lifes. The most common still life (i.e. that most likely to be generated from a random initial state) is the block. [3]
The Game of Life is a grid-based automaton that is very popular in discussions about science, computation, and artificial intelligence. Despite its simplicity, however, the Game of Life remains a ...
One may also build a pattern that acts like a finite-state machine connected to two counters. This has the same computational power as a universal Turing machine, so, using the glider, the Game of Life is theoretically as powerful as any computer with unlimited memory and no time constraints: it is Turing complete. [5] [6]
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 take longer than 50 generations to stabilize, [ 1 ] although some patterns that are larger than ten cells ...