Maurice Margenstern - A weakly universal cellular automaton in the hyperbolic $3D$ space with three states

dmtcs:2755 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS - https://doi.org/10.46298/dmtcs.2755
A weakly universal cellular automaton in the hyperbolic $3D$ space with three statesConference paper

Authors: Maurice Margenstern 1

  • 1 Laboratoire d'Informatique Théorique et Appliquée


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.

https://doi.org/10.46298/dmtcs.2755
Source: HAL:hal-01185491v1
Volume: DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS
Section: Proceedings
Published on: January 1, 2010
Imported on: January 31, 2017
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [NLIN.NLIN-CG]Nonlinear Sciences [physics]/Cellular Automata and Lattice Gases [nlin.CG], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [en] universality, cellular automata, hyperbolic geometry, $3D$ space, tilings

1 Document citing this article

Share and export

Consultation statistics

This page has been seen 431 times.
This article's PDF has been downloaded 487 times.