The mathematical artist : a tribute to John Horton Conway / / Sukanta Das, Souvik Roy, Kamalika Bhattacharjee, editors

• Pubblicazione: Cham, Switzerland : , : Springer, , [2022]; ©2022
• Descrizione fisica: 1 online resource (221 pages)
• Disciplina: 511.3
• Soggetto topico: Cellular automata; Game theory; Mathematicians; Autòmats cel·lulars; Teoria de jocs; Matemàtics
• Soggetto genere / forma: Biografies; Llibres electrònics
• Persona (resp. second.): DasSukanta; RoySouvik; BhattacharjeeKamalika
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- John Horton Conway -- Contents -- Contributors -- Transcript from Conway Memorial Lecture Series -- John Horton Conway: A Master of All Trades -- 1 A Personal Remembrance -- 2 Interaction with Robert Wilson -- Two Different Directions: John Conway and Stephen Wolfram -- 1 Conway-The Mathematical Engineer -- 2 Program as Model for the World -- 3 Computational Equivalence -- 4 Cellular Automata and Physics -- 5 Multiway Graphs -- 6 Limits of Physics and Mathematics -- 7 Interaction with Stephen Wolfram -- 8 Concluding Remarks -- Conway Memorial Series: The Mathematical Artist of Play -- 1 A Personal Encounter -- 2 The Nim Game -- 3 Beyond Combinatorial Game Theory -- 4 Interaction with R. Ramanujam -- Invited Articles -- Some Notes About the Game of Life Cellular Automaton -- 1 The Game of Life -- 2 The Game of Life and Its Connection in One Dimension -- 3 Final Notes -- References -- Gliders in the Game of Life and in a Reversible Cellular Automaton -- 1 Game of Life and the Glider -- 1.1 Irreversibility of the Game of Life (GoL) -- 1.2 The Glider, Spaceships and a Glider Gun -- 1.3 Controlling a Glider -- 1.4 Collisions of Gliders -- 1.5 Collisions of Gliders with a Block -- 2 Elementary Triangular Partitioned Cellular Automaton -- 2.1 Triangular Partitioned Cellular Automaton -- 2.2 Elementary Triangular Partitioned Cellular Automaton (ETPCA) -- 2.3 Reversible ETPCA and Conservative ETPCA -- 2.4 Dualities in ETPCAs -- 2.5 Time-Symmetry in Reversible ETPCAs -- 3 The Glider in the Reversible ETPCA0347 -- 3.1 Evolution from a One-Particle Pattern -- 3.2 The Glider and Useful Patterns -- 3.3 Controlling a Glider -- 3.4 Collisions of Gliders -- 3.5 Collisions of a Glider with a Fin -- 4 Composing Reversible Computers in ETPCA 0347 Using a Glider -- 4.1 Making a Reversible Logic Element with Memory. ; 4.2 Making Reversible Turing Machines -- 5 Concluding Remarks and Open Problems -- References -- From Multiple to Single Updates Per Cell in Elementary Cellular Automata with Neighbourhood Based Priority -- 1 Introduction -- 2 Fundamentals -- 2.1 Definitions -- 2.2 Independent Neighbourhood Updates and Active State Transitions -- 3 From Multiple to Single Updates Per Cell Per Iteration -- 3.1 Overview of the Idea -- 3.2 Formalisation -- 4 Analysis of the Elementary Space with Neighbourhood Based Priority Asynchronism with Single Updates Per Cell -- 4.1 Dynamical Equivalence Classes -- 4.2 Identifying Dynamical Classes -- 4.3 An Example of the Full Process -- 5 Concluding Remarks -- References -- Game of Life, Athenian Democracy and Computation -- 1 Introduction -- 2 Game-of-Life and Direct Democracy -- 3 Athenian Democracy -- 4 A Model of Computation -- 5 Cellular Automata with Memory -- 6 Conclusion -- References -- Algorithmic Information Dynamics of Cellular Automata -- 1 Introduction -- 2 Cellular Automata -- 3 Algorithmic Information Dynamics (AID) -- 3.1 Numerical Methods -- 3.2 The Coding Theorem Method and Causal Discovery -- 3.3 The Block Decomposition Method (BDM) -- 3.4 Algorithmic Intervention Analysis -- 3.5 Information Deficiency as an Algorithmic Information Calculus -- 3.6 Study of Dynamical Systems in Software Space -- 4 AID Application to Elementary Cellular Automata -- 4.1 ECA Perturbation Analysis -- 4.2 ECA Colliding Event Quantification -- 5 Conclusions -- References -- The Game of Life in Three Dimensions, and Other Tessellations -- 1 Introduction-Conway's Game of Life -- 1.1 The Rules of Life -- 2 Finding a Rule for Three-Dimensional Life -- 2.1 The Best Rules for Three-Dimensional Versions of Life -- 2.2 A Comparison Between Conway's Life and Three-Dimensional Life -- 2.3 The Rule 4, 5/5 -- 3 Another Game of 3D Life. ; 4 Additional Games of Life in Two Dimensional Grids -- 4.1 The Triangular Grid -- 4.2 The Hexagonal grid -- 5 Conclusion -- References.
• Titolo autorizzato: The mathematical artist
• ISBN: 3-031-03986-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996483155703316
• Lo trovi qui: Univ. di Salerno
• Serie: Emergence, complexity and computation ; ; Volume 45.