In general, S ¼ f0; 1g is the set of cell states, and the cell state at moment t is
noted as st
x. Furthermore, the states of defined neighbors with r ¼ 1 are marked as st
x1 and st
xþ1 respectively, and the
combination of states between the cell and the neighbors is represented by Nt
x ¼ ðst
x1; st
x; st
xþ1Þ,
Nt
x ¼ fð1; 1; 1Þ ð1; 1; 0Þ ð1; 0; 1Þ ð1; 0; 0Þ ð0; 1; 1Þ ð0; 1; 0Þ ð0; 0; 1Þ ð0; 0; 0Þ g; as shown in Fig. 1. Although an
ECA looks quite simple, there are 223
¼ 256 local rules for the ECA, and the Wolfram code (0255) is adopted to identify each
local rule of the ECA [1,2].
In general, S ¼ f0; 1g is the set of cell states, and the cell state at moment t isnoted as stx. Furthermore, the states of defined neighbors with r ¼ 1 are marked as stx1 and stxþ1 respectively, and thecombination of states between the cell and the neighbors is represented by Ntx ¼ ðstx1; stx; stxþ1Þ,Ntx ¼ fð1; 1; 1Þ ð1; 1; 0Þ ð1; 0; 1Þ ð1; 0; 0Þ ð0; 1; 1Þ ð0; 1; 0Þ ð0; 0; 1Þ ð0; 0; 0Þ g; as shown in Fig. 1. Although anECA looks quite simple, there are 223¼ 256 local rules for the ECA, and the Wolfram code (0255) is adopted to identify eachlocal rule of the ECA [1,2].
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