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Cyclic cellular automaton information


A one-dimensional cyclic cellular automaton with n = 4, run for 300 steps from a random initial configuration.

A cyclic cellular automaton is a kind of cellular automaton rule developed by David Griffeath and studied by several other cellular automaton researchers. In this system, each cell remains unchanged until some neighboring cell has a modular value exactly one unit larger than that of the cell itself, at which point it copies its neighbor's value. One-dimensional cyclic cellular automata can be interpreted as systems of interacting particles, while cyclic cellular automata in higher dimensions exhibit complex spiraling behavior.

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Cyclic cellular automaton

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A cyclic cellular automaton is a kind of cellular automaton rule developed by David Griffeath and studied by several other cellular automaton researchers...

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Cellular automaton

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A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called...

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Rule 110

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The Rule 110 cellular automaton (often called simply Rule 110) is an elementary cellular automaton with interesting behavior on the boundary between stability...

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Reversible cellular automaton

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A reversible cellular automaton is a cellular automaton in which every configuration has a unique predecessor. That is, it is a regular grid of cells,...

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Quantum dot cellular automaton

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making it extremely practical to perform computing with them. A cellular automaton (CA) is a discrete dynamical system consisting of a uniform (finite...

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Asynchronous cellular automaton

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the new states influence other cells. In contrast, an asynchronous cellular automaton is able to update individual cells independently, in such a way that...

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Tag system

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10000000 . . . . Cyclic tag systems were created by Matthew Cook and were used in Cook's demonstration that the Rule 110 cellular automaton is universal....

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Majority problem

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density classification task, is the problem of finding one-dimensional cellular automaton rules that accurately perform majority voting. Using local transition...

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Movable cellular automaton

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The movable cellular automaton (MCA) method is a method in computational solid mechanics based on the discrete concept. It provides advantages both of...

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Rule 184

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Rule 184 is a one-dimensional binary cellular automaton rule, notable for solving the majority problem as well as for its ability to simultaneously describe...

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Turing completeness

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computation, a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally universal if it...

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Index of combinatorics articles

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Bracelet (combinatorics) Bruck–Chowla–Ryser theorem Catalan number Cellular automaton Collatz conjecture Combination Combinatorial design Combinatorial...

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List of terms relating to algorithms and data structures

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caverphone Cayley–Purser algorithm C curve cell probe model cell tree cellular automaton centroid certificate chain (order theory) chaining (algorithm) child...

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Computational gene

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is a molecular automaton consisting of a structural part and a functional part; and its design is such that it might work in a cellular environment. The...

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Mathematical visualization

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1920s Alexander and Briggs used this technique to compute the homology of cyclic branched covers of knots with 8 or fewer crossings, successfully distinguishing...

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Chemical computer

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theoretically shown how a hypothetical "2+ medium" modelled as a cellular automaton can perform computation. Adamatzky was inspired by a theoretical article...

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Markov random field

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Markov chain Markov logic network Maximum entropy method Stochastic cellular automaton Sherrington, David; Kirkpatrick, Scott (1975), "Solvable Model of...

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Stochastic matrix

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equation Models of DNA evolution Muirhead's inequality Probabilistic automaton Transition rate matrix, used to generalize the stochastic matrix to continuous...

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Dynamic recrystallization

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recrystallization phenomena in metallic materials, Latest review paper on DRX A Cellular Automaton Model of Dynamic Recrystallization: Introduction & Source Code, Software...

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Randomness

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number generators. There are many algorithms (based on arithmetics or cellular automaton) for generating pseudorandom numbers. The behavior of the system can...

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List of numerical analysis topics

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adds properties such as strain to each particle Movable cellular automaton — combination of cellular automata with discrete elements Meshfree methods — does...

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Timeline of Polish science and technology

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Teller–Ulam design of thermonuclear weapons, discovered the concept of cellular automaton, invented the Monte Carlo methods of computation, and suggested nuclear...

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Economic democracy

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Rather, the publicly traded stock corporation is what Barnes terms an "automaton", explicitly designed to maximize return to its owners. A corporation...

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