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Game of Life Cellular Automata

Author: Andrew Adamatzky

Publisher: Springer Science & Business Media

Published: 2010-06-14

Total Pages: 576

ISBN-13: 1849962170

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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 it gives a comprehensive presentation of the theoretical and experimental foundations, cutting-edge computation techniques and mathematical analysis of the fabulously complex, self-organized and emergent phenomena defined by incredibly simple rules.

Book Synopsis Game of Life Cellular Automata by : Andrew Adamatzky

Download or read book Game of Life Cellular Automata written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2010-06-14 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 it gives a comprehensive presentation of the theoretical and experimental foundations, cutting-edge computation techniques and mathematical analysis of the fabulously complex, self-organized and emergent phenomena defined by incredibly simple rules.

The Recursive Universe

Author: William Poundstone

Publisher: Courier Corporation

Published: 2013-06-19

Total Pages: 258

ISBN-13: 048649098X

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This fascinating popular science journey explores key concepts in information theory in terms of Conway's "Game of Life" program. The author explains the application of natural law to a random system and demonstrates the necessity of limits. Other topics include the limits of knowledge, paradox of complexity, Maxwell's demon, Big Bang theory, and much more. 1985 edition.

Book Synopsis The Recursive Universe by : William Poundstone

Download or read book The Recursive Universe written by William Poundstone and published by Courier Corporation. This book was released on 2013-06-19 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating popular science journey explores key concepts in information theory in terms of Conway's "Game of Life" program. The author explains the application of natural law to a random system and demonstrates the necessity of limits. Other topics include the limits of knowledge, paradox of complexity, Maxwell's demon, Big Bang theory, and much more. 1985 edition.

Collision-Based Computing

Author: Andrew Adamatzky

Publisher: Springer Science & Business Media

Published: 2002-05-13

Total Pages: 588

ISBN-13: 9781852335403

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Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.

Book Synopsis Collision-Based Computing by : Andrew Adamatzky

Download or read book Collision-Based Computing written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2002-05-13 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.

The Symmetries of Things

Author: John H. Conway

Publisher: CRC Press

Published: 2016-04-05

Total Pages: 442

ISBN-13: 1439864896

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Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.

Book Synopsis The Symmetries of Things by : John H. Conway

Download or read book The Symmetries of Things written by John H. Conway and published by CRC Press. This book was released on 2016-04-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.

Turing Machine Universality of the Game of Life

Author: Paul Rendell

Publisher: Springer

Published: 2015-07-21

Total Pages: 182

ISBN-13: 3319198424

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This book presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction. It provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the relevant patterns in Conway's Game of Life so that the subject matter is accessibly to non specialists. The book contains a description of the author’s Turing machine in Conway’s Game of Life including an unlimited storage tape provided by growing stack structures and it also presents a fast universal Turing machine designed to allow the working to be demonstrated in a convenient period of time.

Book Synopsis Turing Machine Universality of the Game of Life by : Paul Rendell

Download or read book Turing Machine Universality of the Game of Life written by Paul Rendell and published by Springer. This book was released on 2015-07-21 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction. It provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the relevant patterns in Conway's Game of Life so that the subject matter is accessibly to non specialists. The book contains a description of the author’s Turing machine in Conway’s Game of Life including an unlimited storage tape provided by growing stack structures and it also presents a fast universal Turing machine designed to allow the working to be demonstrated in a convenient period of time.

Sams Teach Yourself Unity Game Development in 24 Hours

Author: Mike Geig

Publisher: Pearson Education

Published: 2014

Total Pages: 400

ISBN-13: 0672336960

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A complete beginner's guide to game development with the powerful Unity game engine. CS Instructor and game designer, Mike Geig, offers a do-it-yourself approach to game development - with all of the main essentials covered. In just 24 hours, learn how to get started developing games with Unity with a hands-on and modular approach. Each chapter covers an essential component of the game development process, illustrated with sample projects, and including full source code, all 3rd party art assets (textures, fonts, models), and all 3rd party sound assets.

Book Synopsis Sams Teach Yourself Unity Game Development in 24 Hours by : Mike Geig

Download or read book Sams Teach Yourself Unity Game Development in 24 Hours written by Mike Geig and published by Pearson Education. This book was released on 2014 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete beginner's guide to game development with the powerful Unity game engine. CS Instructor and game designer, Mike Geig, offers a do-it-yourself approach to game development - with all of the main essentials covered. In just 24 hours, learn how to get started developing games with Unity with a hands-on and modular approach. Each chapter covers an essential component of the game development process, illustrated with sample projects, and including full source code, all 3rd party art assets (textures, fonts, models), and all 3rd party sound assets.

Michael Abrash's Graphics Programming Black Book

Author: Michael Abrash

Publisher: Coriolis Group Books

Published: 1997

Total Pages: 0

ISBN-13: 9781576101742

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No one has done more to conquer the performance limitations of the PC than Michael Abrash, a software engineer for Microsoft. His complete works are contained in this massive volume, including everything he has written about performance coding and real-time graphics. The CD-ROM contains the entire text in Adobe Acrobat 3.0 format, allowing fast searches for specific facts.

Book Synopsis Michael Abrash's Graphics Programming Black Book by : Michael Abrash

Download or read book Michael Abrash's Graphics Programming Black Book written by Michael Abrash and published by Coriolis Group Books. This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one has done more to conquer the performance limitations of the PC than Michael Abrash, a software engineer for Microsoft. His complete works are contained in this massive volume, including everything he has written about performance coding and real-time graphics. The CD-ROM contains the entire text in Adobe Acrobat 3.0 format, allowing fast searches for specific facts.

Glory Season

Author: David Brin

Publisher: Spectra

Published: 2011-08-31

Total Pages: 786

ISBN-13: 030757346X

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Hugo and Nebula award-winning author David Brin is one of the most eloquent, imaginative voices in science fiction. Now he returns with a new novel rich in texture, universal in theme, monumental in scope--pushing the genre to new heights. Young Maia is fast approaching a turning point in her life. As a half-caste var, she must leave the clan home of her privileged half sisters and seek her fortune in the world. With her twin sister, Leie, she searches the docks of Port Sanger for an apprenticeship aboard the vessels that sail the trade routes of the Stratoin oceans. On her far-reaching, perilous journey of discovery, Maia will endure hardship and hunger, imprisonment and loneliness, bloody battles with pirates and separation from her twin. And along the way, she will meet a traveler who has come an unimaginable distance--and who threatens the delicate balance of the Stratoins' carefully maintained, perfect society.... Both exciting and insightful, Glory Season is a major novel, a transcendent saga of the human spirit.

Book Synopsis Glory Season by : David Brin

Download or read book Glory Season written by David Brin and published by Spectra. This book was released on 2011-08-31 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hugo and Nebula award-winning author David Brin is one of the most eloquent, imaginative voices in science fiction. Now he returns with a new novel rich in texture, universal in theme, monumental in scope--pushing the genre to new heights. Young Maia is fast approaching a turning point in her life. As a half-caste var, she must leave the clan home of her privileged half sisters and seek her fortune in the world. With her twin sister, Leie, she searches the docks of Port Sanger for an apprenticeship aboard the vessels that sail the trade routes of the Stratoin oceans. On her far-reaching, perilous journey of discovery, Maia will endure hardship and hunger, imprisonment and loneliness, bloody battles with pirates and separation from her twin. And along the way, she will meet a traveler who has come an unimaginable distance--and who threatens the delicate balance of the Stratoins' carefully maintained, perfect society.... Both exciting and insightful, Glory Season is a major novel, a transcendent saga of the human spirit.

The Grapes of Math

Author: Alex Bellos

Publisher: Simon and Schuster

Published: 2014-06-10

Total Pages: 352

ISBN-13: 1451640129

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From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

Book Synopsis The Grapes of Math by : Alex Bellos

Download or read book The Grapes of Math written by Alex Bellos and published by Simon and Schuster. This book was released on 2014-06-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

Math Without Numbers

Author: Milo Beckman

Publisher: Penguin

Published: 2022-01-11

Total Pages: 225

ISBN-13: 1524745561

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An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

Book Synopsis Math Without Numbers by : Milo Beckman

Download or read book Math Without Numbers written by Milo Beckman and published by Penguin. This book was released on 2022-01-11 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.