673 research outputs found
A weakly universal cellular automaton in the pentagrid with five states
In this paper, we construct a cellular automaton on the pentagrid which is
planar, weakly universal and which have five states only. This result much
improves the best result which was with nine statesComment: 23 pages, 21 figure
Hyperbolic tilings and formal language theory
In this paper, we try to give the appropriate class of languages to which
belong various objects associated with tessellations in the hyperbolic plane.Comment: In Proceedings MCU 2013, arXiv:1309.104
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