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Exploration of number-conserving non-uniform cellular automata with a neighborhood of size four: barriers and blocks | Synapse
March 3, 2026
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Exploration of number-conserving non-uniform cellular automata with a neighborhood of size four: barriers and blocks
BM
Bartosz Makuracki
University of Gdańsk
MD
Maciej Dziemiańczuk
University of Gdańsk
BW
Barbara Wolnik
Ghent University
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Key Points
Number-conserving cellular automata show complex behaviors with barriers and blocks, impacting their dynamics.
Key findings include the identification of specific configurations that maintain number conservation effectively.
Analysis incorporates a four-size neighborhood approach, highlighting interactions that influence automaton behavior.
Insights may enable new strategies in computational models, though further exploration is required to validate findings.
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Makuracki et al. (Sat,) studied this question.
synapsesocial.com/papers/69a7612ac6e9836116a2ed6a
https://doi.org/https://doi.org/10.1007/s11047-025-10059-0