Corpus ID: 235795070

A strongly universal cellular automaton with four states

@article{Margenstern2021ASU,
  title={A strongly universal cellular automaton with four states},
  author={M. Margenstern},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.04843}
}
In this paper, we prove that there is a strongly universal cellular automaton in the dodecagrid, the tessellation {5, 3, 4} of the hyperbolic 3D space, with four states but, it is not rotation invariant as the automaton of [9] is with five states. The present paper is not an improvement of [9]. The reduction to four states of the automaton of the present paper results from a relaxation of the condition of rotation invariance. However, the relaxation is not complete: the rules are invariant with… Expand
An outer totalistic weakly universal cellular automaton in the dodecagrid with four states
TLDR
It is proved that there is an outer totalistic weakly universal cellular automaton in the dodecagrid, the tessellation of the hyperbolic 3D space, with four states, the first result in such a context. Expand

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