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Rule 30 is an elementary cellular automaton introduced by Stephen Wolfram in 1983. [2] Using Wolfram's classification scheme, Rule 30 is a Class III rule, displaying aperiodic, chaotic behaviour. This rule is of particular interest because it produces complex, seemingly random patterns from simple, well-defined rules.
A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessellation structures, and iterative arrays. [2]
The rule defining the cellular automaton must specify the resulting state for each of these possibilities so there are 256 = 2 2 3 possible elementary cellular automata. Stephen Wolfram proposed a scheme, known as the Wolfram code, to assign each rule a number from 0 to 255 which has become standard. Each possible current configuration is ...
The Rule 110 cellular automaton (often called simply Rule 110) [a] is an elementary cellular automaton with interesting behavior on the boundary between stability and chaos. In this respect, it is similar to Conway's Game of Life .
A New Kind of Science is a book by Stephen Wolfram, [1] published by his company Wolfram Research under the imprint Wolfram Media in 2002. It contains an empirical and systematic study of computational systems such as cellular automata.
Rule 90 has also been called the Sierpiński automaton, due to the characteristic Sierpiński triangle shape it generates, [4] and the Martin–Odlyzko–Wolfram cellular automaton after the early research of Olivier Martin, Andrew M. Odlyzko, and Stephen Wolfram on this automaton.
Wolfram code is a widely used [1] numbering system for one-dimensional cellular automaton rules, introduced by Stephen Wolfram in a 1983 paper [2] and popularized in his book A New Kind of Science. [ 3 ]
Wolfram sued Cook and temporarily blocked publication of the work on Rule 110 for allegedly violating a non-disclosure agreement until Wolfram could publish the work in his controversial book A New Kind of Science. [4] [27] Wolfram's cellular-automata work came to be cited in more than 10,000 papers. [28]
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