Geodesic
Construction of multi-colored images by cell automata
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 22-27

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The problem of forming multi-color images by the screen of cellular automata is considered. The process of image formation is carried out using control inputs located on the edges of the screen. An elementary cellular automaton is called universal if it can be used to form an arbitrary image. The minimal number of states of an elementary cellular automaton of a universal screen has been found. Estimates of imaging time are obtained. A screen with one control input is also considered. It is shown that a universal cellular automaton for a screen with one control input exists, the number of its states is estimated, and an estimate of the imaging time is obtained. 
@article{VMUMM_2020_2_a3,
     author = {\`E. \`E. Gasanov and I. M. Komilova},
     title = {Construction of multi-colored images by cell automata},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {22--27},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a3/}
}
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È. È. Gasanov; I. M. Komilova. Construction of multi-colored images by cell automata. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 22-27. http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a3/