Filling Curves Constructed in Cellular Automata with Aperiodic Tiling - Cellular Automata and Discrete Complex Systems
Conference Papers Year : 2017

Filling Curves Constructed in Cellular Automata with Aperiodic Tiling

Abstract

In many constructions on cellular automata, information is transmitted with signals propagating through a defined background. In this paper, we investigate the possibility of using aperiodic tiling inside zones delimited by signals. More precisely, we study curves delineated by CA-constructible functions and prove that most of them can be filled with the NW-deterministic tile set defined by Kari [1]. The achieved results also hint a new possible way to study deterministic tile sets.
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hal-01656356 , version 1 (05-12-2017)

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Gaétan Richard. Filling Curves Constructed in Cellular Automata with Aperiodic Tiling. 23th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA), Jun 2017, Milan, Italy. pp.165-175, ⟨10.1007/978-3-319-58631-1_13⟩. ⟨hal-01656356⟩
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