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This paper explores the use of 2D cellular automata (CA) to generate 3D terrains through a simple additive approach. Experimenting with multiple CA transition rules produced aesthetically interesting, navigable landscapes, suggesting…

Cellular Automata and Lattice Gases · Physics 2025-08-22 Nuno Fachada , António R. Rodrigues , Diogo de Andrade , Phil Lopes

The understanding and acceptance of evolution by natural selection has become a difficult issue in many parts of the world, particularly the United States of America. The use of games to improve intuition about evolution via natural…

Neural and Evolutionary Computing · Computer Science 2020-07-09 Anya E. Vostinar , Barbara Z. Johnson , Kevin Connors

A simple relation of the order of $n$ abstract objects generates an $n-2$ dimensional basis of three dimensional vectors. A cellular automaton-like model of evolution of this system is postulated. During this evolution, some quantities…

Cellular Automata and Lattice Gases · Physics 2017-08-14 Marek Pietrow

We define and explore in simulation several rules for the local evolution of generative rules for 1D and 2D cellular automata. Our implementation uses strategies from conceptual blending. We discuss potential applications to modelling…

Neural and Evolutionary Computing · Computer Science 2015-02-03 Joseph Corneli , Ewen Maclean

The design of complex self-organising systems producing life-like phenomena, such as the open-ended evolution of virtual creatures, is one of the main goals of artificial life. Lenia, a family of cellular automata (CA) generalizing Conway's…

Neural and Evolutionary Computing · Computer Science 2023-03-27 Erwan Plantec , Gautier Hamon , Mayalen Etcheverry , Pierre-Yves Oudeyer , Clément Moulin-Frier , Bert Wang-Chak Chan

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

This paper presents a novel framework for modeling and conditional generation of 3D articulated objects. Troubled by flexibility-quality tradeoffs, existing methods are often limited to using predefined structures or retrieving shapes from…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Jiayi Su , Youhe Feng , Zheng Li , Jinhua Song , Yangfan He , Botao Ren , Botian Xu

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 use of evolutionary methods in design and art is increasing in diversity and popularity. Approaches to using these methods for creative production typically focus either on optimisation or exploration. In this paper we introduce an…

Neural and Evolutionary Computing · Computer Science 2021-02-12 Camilo Cruz Gambardella , Jon McCormack

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

This paper describes a new concept of cellular automaton (CA). XCA consists of a set of arcs (edges) that correspond to cells in CA. At a particular time, the arcs are connected to a directed graph. With each time step, the arcs exchange…

Cellular Automata and Lattice Gases · Physics 2016-07-19 Walter Eckel

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 paper is placed at the intersection-point between the study of theoretical computational models aimed at capturing the essence of genetic regulatory networks and the field of Artificial Embryology (or Computational Development). A…

Adaptation and Self-Organizing Systems · Physics 2016-10-12 Alessandro Fontana

We report a new system of artificial life called Lenia (from Latin lenis "smooth"), a two-dimensional cellular automaton with continuous space-time-state and generalized local rule. Computer simulations show that Lenia supports a great…

Cellular Automata and Lattice Gases · Physics 2021-07-12 Bert Wang-Chak Chan

A one-dimensional cellular automaton with a probabilistic evolution rule can generate stochastic surface growth in $(1 + 1)$ dimensions. Two such discrete models of surface growth are constructed from a probabilistic cellular automaton…

Statistical Mechanics · Physics 2015-06-25 Pratip Bhattacharyya

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 computational simulation of evolving entities that includes symbiosis with shifting levels of selection. Evolution by natural selection shifts from the level of the original entities to the level of the new symbiotic entity. In…

Neural and Evolutionary Computing · Computer Science 2020-09-24 Peter D. Turney

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

Cellular Automata and Lattice Gases · Physics 2007-12-21 H. Fort

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

Cellular automata are computers, similar to Turing machines. The main difference is that Turing machines use a one-dimensional tape, whereas cellular automata use a two-dimensional grid. The best-known cellular automaton is the Game of…

Cellular Automata and Lattice Gases · Physics 2025-01-10 Peter Turney