Aesthetics and randomness in cellular automata

Nazim Fatès 1
1 CARTE - Theoretical adverse computations, and safety
Inria Nancy - Grand Est, LORIA - FM - Department of Formal Methods
Abstract : We propose two images obtained with an asynchronous and a stochastic cellular automaton. Deterministic cellular automata are now well-studied models and even if there is still so much to understand, their main properties are now largely explored. By contrast, the universe of asynchronous and stochastic is mainly a terra incognita. Only a few islands of this vast continent have been discovered so far. The two examples below present space-time diagrams of one-dimensional cellular automata with nearest-neighbour interaction. The cells are arranged in a ring, that is, the right neighbour of the rightmost cell is the leftmost cell, and vice versa; in formal words, indices are taken in Z/nZ, where n is the number of cells. The space-time diagrams are obtained with the FiatLux software. Time goes from bottom to top: the successive states of the system are stacked one on the other.
Type de document :
Chapitre d'ouvrage
Andrew Adamatzky; Genaro J. Martínez. Designing Beauty: The Art of Cellular Automata, Springer, 2016, Emergence, Complexity and Computation, 978-3-319-27269-6. 〈10.1007/978-3-319-27270-2_23〉
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Contributeur : Nazim Fatès <>
Soumis le : jeudi 14 janvier 2016 - 17:01:15
Dernière modification le : mardi 18 décembre 2018 - 16:48:02
Document(s) archivé(s) le : samedi 16 avril 2016 - 10:51:53

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Nazim Fatès. Aesthetics and randomness in cellular automata. Andrew Adamatzky; Genaro J. Martínez. Designing Beauty: The Art of Cellular Automata, Springer, 2016, Emergence, Complexity and Computation, 978-3-319-27269-6. 〈10.1007/978-3-319-27270-2_23〉. 〈hal-01256384〉

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