Geodesic
A weakly universal cellular automaton in the hyperbolic $3D$ space with three states
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS (2010).

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In this paper, we significantly improve a previous result by the same author showing the existence of a weakly universal cellular automaton with five states living in the hyperbolic $3D$-space. Here, we get such a cellular automaton with three states only. 
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     author = {Margenstern, Maurice},
     title = {A weakly universal cellular automaton in the hyperbolic $3D$ space with three states},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS},
     year = {2010},
     doi = {10.46298/dmtcs.2755},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2755/}
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Margenstern, Maurice. A weakly universal cellular automaton in the hyperbolic $3D$ space with three states. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS (2010). doi : 10.46298/dmtcs.2755. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2755/

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