We investigate how increasing the dimension of the array can help to draw signals on cellular automata.We show the existence of a gap of constructible signals in any dimension. We exhibit two cellular automata in dimension 2 to show that increasing the dimension allows to reduce the number of states required for some constructions.
@article{hal-00003469,
author = {Dubacq, Jean-Christophe and Terrier, V\'eronique},
title = {Signals for Cellular Automata in dimension 2 or higher},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003469}
}
Dubacq, Jean-Christophe; Terrier, Véronique. Signals for Cellular Automata in dimension 2 or higher. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003469/