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Several modifications of the famous mathematical Game of Life are introduced by making Game of Life rules stochastic and mutual influence of cells in their 8-neighborhood on a rectangular lattice spatially non-uniform. Results are reported…

Cellular Automata and Lattice Gases · Physics 2013-05-01 Leonid Yaroslavsky

Conway's cellular automaton Game of LIFE has been conjectured to be a critical (or quasicritical) dynamical system. This criticality is generally seen as a continuous order-disorder transition in cellular automata (CA) rule space. LIFE's…

Statistical Mechanics · Physics 2014-07-04 Sandro Martinelli Reia , Osame Kinouchi

We investigate the dynamics of a conservative version of Conway's Game of Life, in which a pair consisting of a dead and a living cell can switch their states following Conway's rules but only by swapping their positions, irrespective of…

Statistical Mechanics · Physics 2021-02-03 Andre P. Vieira , Eric Goles , Hans J. Herrmann

This paper presents a probabilistic extension of the well-known cellular automaton, Game of Life. In Game of Life, cells are placed in a grid and then watched as they evolve throughout subsequent generations, as dictated by the rules of the…

Artificial Intelligence · Computer Science 2022-01-25 Simon Vandevelde , Joost Vennekens

Results of experimental investigation are presented of evolutionary dynamics of several stochastic pattern formation and growth models designed by modifications of the famous mathematical Game of Life. The modifications are two-fold: Game…

Cellular Automata and Lattice Gases · Physics 2013-10-30 Leonid Yaroslavsky

Conways Game of Life is a cellular automaton noted for its rich, complex, and emergent behavior, which seems qualitatively lifelike it exists within a wider space of different rule-sets of cellular automata none of which have been found to…

Cellular Automata and Lattice Gases · Physics 2024-10-31 James McCrum , Terence P Kee

A version of John Conway's game of Life is presented where the normal binary values of the cells are replaced by oscillators which can represent a superposition of states. The original game of Life is reproduced in the classical limit, but…

Quantum Physics · Physics 2007-05-23 Adrian P. Flitney , Derek Abbott

This project explores speculative evolution through a 3D implementation of Conway's Game of Life, using procedural simulation to generate unfamiliar extraterrestrial organic forms. By applying a volumetric optimized workflow, the raw…

Cellular Automata and Lattice Gases · Physics 2025-05-06 Amir Hossein Khazaei

The classical "game of life" (GOL) due to Conway is a famous mathematical game constructed as a two-dimensional cellular automaton in which each cell is either alive or dead. A set of evolutionary rules determines whether a cell dies,…

Quantum Physics · Physics 2019-02-22 David Faux , Mayank Shah , Christopher Knapp

The emergence of complex structures in the systems governed by a simple set of rules is among the most fascinating aspects of Nature. The particularly powerful and versatile model suitable for investigating this phenomenon is provided by…

Adaptation and Self-Organizing Systems · Physics 2023-10-11 Jarosław Adam Miszczak

The factors contributing to the persistence and stability of life are fundamental for understanding complex living systems. Organisms are commonly challenged by harsh and fluctuating environments that are suboptimal for growth and…

Populations and Evolution · Quantitative Biology 2024-06-21 Daniel Henrik Nevermann , Claudius Gros , Jay T. Lennon

Conway's classic game of life is a two-dimensional cellular automaton in which each cell, either alive or dead, evolves according to rules based on its local environment. The semi-quantum game of life (SQGOL) is an adaptation in which each…

Quantum Physics · Physics 2019-02-22 David Faux , Mayank Shah , Christopher Knapp

The dynamics in games involving multiple players, who adaptively learn from their past experience, is not yet well understood. We analyzed a class of stochastic games with Markov strategies in which players choose their actions…

Probability · Mathematics 2018-04-30 Shohei Hidaka

John H. Conway's Game of Life, as well as cellular automata in the larger family of Life-like CA, are discrete: the cells have a binary state space and the birth and survival transition rules are 9-bits apiece. Inspired by Life, several…

Cellular Automata and Lattice Gases · Physics 2022-08-22 Q. Tyrell Davis

Cellular automata can simulate many complex physical phenomena using the power of simple rules. The presented methodological platform expresses the concept of programmable matter in which Newtons laws of motion are one of examples. Energy…

Cellular Automata and Lattice Gases · Physics 2023-01-10 Krzysztof Pomorski , Dariusz Kotula

We present a new extension of Conway's game of life for two players, which we call p2life. P2life allows one of two types of token, black or white, to inhabit a cell, and adds competitive elements into the birth and survival rules of the…

Soft Condensed Matter · Physics 2009-11-07 Mark Levene , George Roussos

Conway's Game of Life is a two-dimensional cellular automaton. As a dynamical system, it is well-known to be computationally universal, i.e.\ capable of simulating an arbitrary Turing machine. We show that in a sense taking a single…

Formal Languages and Automata Theory · Computer Science 2025-04-15 Ville Salo , Ilkka Törmä

Conway's Game of Life is the best-known cellular automaton. It is a classic model of emergence and self-organization, it is Turing-complete, and it can simulate a universal constructor. The Game of Life belongs to the set of semi-totalistic…

Neural and Evolutionary Computing · Computer Science 2021-06-11 Peter D. Turney

In the theory of cellular automata, an oscillator is a pattern that repeats itself after a fixed number of generations; that number is called its period. A cellular automaton is called omniperiodic if there exist oscillators of all periods.…

Conway's Game of Life (Life), a well known algorithm within the broader class of cellular automata (CA), exhibits complex emergent dynamics, with extreme sensitivity to initial conditions. Modeling and predicting such intricate behavior…

Artificial Intelligence · Computer Science 2024-10-18 Jaime A. Berkovich , Markus J. Buehler
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