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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.
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https://hal.inria.fr/hal-01256384
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Submitted on : Thursday, January 14, 2016 - 5:01:15 PM
Last modification on : Tuesday, December 18, 2018 - 4:48:02 PM
Long-term archiving on: : Saturday, April 16, 2016 - 10:51:53 AM

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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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