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Titlebook: Game of Life Cellular Automata; Andrew Adamatzky Book 2010 Springer-Verlag London Limited 2010 Automat.Extension.Turing machine.automata.c

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发表于 2025-3-21 19:01:20 | 显示全部楼层 |阅读模式
书目名称Game of Life Cellular Automata
编辑Andrew Adamatzky
视频video
概述Simple to understand examples of cellular automata dynamics.Abundance of illustrations, working examples, and codes.Efficient techniques for evaluating space-time dynamics of discrete non-linear syste
图书封面Titlebook: Game of Life Cellular Automata;  Andrew Adamatzky Book 2010 Springer-Verlag London Limited 2010 Automat.Extension.Turing machine.automata.c
描述In the late 1960s British mathematician John Conway invented a virtual mathematical machine that operates on a two-dimensional array of square cell. Each cell takes two states, live and dead. The cells’ states are updated simultaneously and in discrete time. A dead cell comes to life if it has exactly three live neighbours. A live cell remains alive if two or three of its neighbours are alive, otherwise the cell dies. Conway’s Game of Life became the most programmed solitary game and the most known cellular automaton. The book brings together results of forty years of study into computational, mathematical, physical and engineering aspects of The Game of Life cellular automata. Selected topics include phenomenology and statistical behaviour; space-time dynamics on Penrose tilling and hyperbolic spaces; generation of music; algebraic properties; modelling of financial markets; semi-quantum extensions; predicting emergence; dual-graph based analysis; fuzzy, limit behaviour and threshold scaling; evolving cell-state transition rules; localization dynamics in quasi-chemical analogues of GoL; self-organisation towards criticality; asynochrous implementations.The volume is unique because
出版日期Book 2010
关键词Automat; Extension; Turing machine; automata; cellular automaton; complexity; modeling; algorithm analysis
版次1
doihttps://doi.org/10.1007/978-1-84996-217-9
isbn_softcover978-1-4471-6154-7
isbn_ebook978-1-84996-217-9
copyrightSpringer-Verlag London Limited 2010
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Conway’s Game of Life: Early Personal Recollectionsife. As long as I can remember, my custom would be to seek out the Mathematical Games column in search for Gardner’s latest topic with the usual reader challenges. My first reaction to that particular article introducing a new pastime titled “The fantastic combinations of John Conway’s new solitaire
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Growth and Decay in Life-Like Cellular Automataswer that question, we should ask others: What makes life special? If we happen across another system with life-like behavior, how would we be able to recognize it? We are speaking, of course, of the mathematical systems of cellular automata, of the fascinating patterns that have been discovered and
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Object Synthesis in Conway’s Game of Life and Other Cellular Automatake such rules interesting permit patterns to expand, contract, separate into multiple sub-patterns, or combine with other patterns. Such rules generally include still-lifes, oscillators, spaceships, spaceship guns, and puffer trains. Such structures can often be used to construct more complicated co
发表于 2025-3-22 20:21:15 | 显示全部楼层
Gliders and Glider Guns Discovery in Cellular Automataurprising computational tasks could result from interactions of independent agents in complex systems as emergence of computation is a hot topic in the science of complexity. A promising environment to study emergent computation is cellular automata which are the simplest mathematical representation
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Constraint Programming to Solve Maximal Density Still Lifeugh simple to state, this problem is computationally challenging for any but the smallest sizes of board. Especially difficult is to prove that the maximum number of live cells has been found. Various approaches have been employed. The most successful are approaches based on Constraint Programming (
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