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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

We created two dimensional hexagonal cellular automata to obtain complexity. Considering the game of life rules, Wolfram's works about life-like structures and John von Neumann's self-replication, self-maintenance, self-reproduction…

Cellular Automata and Lattice Gases · Physics 2023-02-28 Vural Erdogan

In the present work, a geometrical method to generate a two dimensional random walk by means of a bidimensional Cellular Automaton is presented. We illustrate it by means of Conway's Game of Life with periodical borders, with a large…

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

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

We present a probabilistic 3D generative model, named Generative Cellular Automata, which is able to produce diverse and high quality shapes. We formulate the shape generation process as sampling from the transition kernel of a Markov…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Dongsu Zhang , Changwoon Choi , Jeonghwan Kim , Young Min Kim

Many natural processes occur over characteristic spatial and temporal scales. This paper presents tools for (i) flexibly and scalably coarse-graining cellular automata and (ii) identifying which coarse-grainings express an automaton's…

Information Theory · Computer Science 2011-09-23 David Balduzzi

Design - especially of physical objects - can be understood as creative acts solving practical problems. In this paper we describe a biologically-inspired developmental model as the basis of a generative form-finding system. Using local…

Neural and Evolutionary Computing · Computer Science 2021-07-13 Jon McCormack , Camilo Cruz Gambardella

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 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

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

In this paper we propose an approach for measuring growth of complexity of emerging patterns in complex systems such as cellular automata. We discuss several ways how a metric for measuring the complexity growth can be defined. This…

Cellular Automata and Lattice Gases · Physics 2022-07-22 Hugo Cisneros , Josef Sivic , Tomas Mikolov

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

Recent experiments by Springer and Kenyon have shown that a deep neural network can be trained to predict the action of $t$ steps of Conway's Game of Life automaton given millions of examples of this action on random initial states.…

Cellular Automata and Lattice Gases · Physics 2021-09-08 Veit Elser

Evolutionary algorithms offer great promise for the automatic design of robot bodies, tailoring them to specific environments or tasks. Most research is done on simplified models or virtual robots in physics simulators, which do not capture…

Robotics · Computer Science 2020-05-20 Tonnes F. Nygaard , David Howard , Kyrre Glette

Cellular automata (CA) captivate researchers due to teh emergent, complex individualized behavior that simple global rules of interaction enact. Recent advances in the field have combined CA with convolutional neural networks to achieve…

Neural and Evolutionary Computing · Computer Science 2023-01-04 Marlene Grieskamp , Chaytan Inman , Shaun Lee

This paper presents a real-time simulation involving ''protozoan-like'' cells that evolve by natural selection in a physical 2D ecosystem. Selection pressure is exerted via the requirements to collect mass and energy from the surroundings…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Dylan Cope

We study life over the course of video game history as represented by their mechanics. While there have been some variations depending on genre or "character type", we find that most games converge to a similar representation. We also…

Human-Computer Interaction · Computer Science 2023-09-27 Hiroki Sato , Tanner Lund , Takahide Yoshida , Atsushi Masumori

In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

Reproduction, development, and individual interactions are essential topics in artificial life. The cellular automata, which can handle these in a composite way, is highly restricted in its form and behavior because it represents life as a…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Keishu Utimula
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