Work

Classification of cellular automata based on the Hamming distance

Year: 2024

Type: article

Abstract: Elementary cellular automata are the simplest form of cellular automata, studied extensively by Wolfram in the 1980s. He discovered complex behavior in some of these automata and developed a classification for all cellular automata based on their phenomenology. In this paper, we present an algorithm to classify them more effectively by measuring difference patterns using the Hamming distance. Our classification aligns with Wolfram's and further categorizes them into additional subclasses. Finally, we have found a heuristic reasoning providing and explanation about why some rules evolve into fractal patterns.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0227349

Authors: Gaspar Alfaro, Miguel A. F. Sanjuán

Institution: Universidad Rey Juan Carlos

Language: English

Topic: Cellular Automata and Applications

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: European Regional Development Fund, Agencia Estatal de Investigación