An animation of how an evolution is determined in Rule 30, one of the 256 possible rules of elementary cellular automata.All the 256 elementary cellular automaton rules[1] (click or tap to enlarge).
In mathematics and computability theory, an elementary cellular automaton is a one-dimensional cellular automaton where there are two possible states (labeled 0 and 1) and the rule to determine the state of a cell in the next generation depends only on the current state of the cell and its two immediate neighbors. There is an elementary cellular automaton (rule 110, defined below) which is capable of universal computation, and as such it is one of the simplest possible models of computation.
^R.Ugalde, Laurence. "Elementary cellular automaton in the Fōrmulæ programming language". Fōrmulæ. Retrieved June 9, 2024.
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mathematics and computability theory, an elementarycellularautomaton is a one-dimensional cellularautomaton where there are two possible states (labeled...
A cellularautomaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called...
The Rule 110 cellularautomaton (often called simply Rule 110) is an elementarycellularautomaton with interesting behavior on the boundary between stability...
In the mathematical study of cellular automata, Rule 90 is an elementarycellularautomaton based on the exclusive or function. It consists of a one-dimensional...
A reversible cellularautomaton is a cellularautomaton in which every configuration has a unique predecessor. That is, it is a regular grid of cells,...
complex system as it evolves in time. Source:automaton The rule 110 variant of the elementarycellularautomaton has been proven to be capable of universal...
rewrite rule, used in some theories of linguistics "Rule X" elementarycellularautomaton, where X is a number between 0-255 characterizing a specific...
the new states influence other cells. In contrast, an asynchronous cellularautomaton is able to update individual cells independently, in such a way that...
External carotid artery External control arm clinical trial Elementarycellularautomaton Engineering Critical Assessment Enterobacterial common antigen...
Rule 184 is a one-dimensional binary cellularautomaton rule, notable for solving the majority problem as well as for its ability to simultaneously describe...
can therefore be considered a hybrid between elementarycellular automata and Turing machines. Weisstein, Eric W. "Mobile Automaton". MathWorld. v t e...
the method of operation of the elementarycellularautomaton called Rule 102. For example, start such a cellularautomaton with eight cells set up with...
for having proved Stephen Wolfram's conjecture that the Rule 110 cellularautomaton is Turing-complete. Cook was born in Morgantown, West Virginia and...
Wolfram code is a widely used numbering system for one-dimensional cellularautomaton rules, introduced by Stephen Wolfram in a 1983 paper and popularized...
inventing the block cellularautomaton and the Margolus neighborhood for block cellular automata, which he used to develop cellularautomaton simulations of...
universe is a rewriting network, and not a cellularautomaton, as Wolfram himself has suggested a cellularautomaton cannot account for relativistic features...
Zuse proposed that the universe is being computed by some sort of cellularautomaton or other discrete computing machinery, challenging the long-held view...
the complexity of their behaviour. He conjectured that the Rule 110 cellularautomaton might be Turing complete, which a research assistant to Wolfram, Matthew...
branches of recreational mathematics, most notably the invention of the cellularautomaton called the Game of Life. Born and raised in Liverpool, Conway spent...
Small weakly universal Turing machines that simulate the Rule 110 cellularautomaton have been given for the (6, 2), (3, 3), and (2, 4) state-symbol pairs...
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