A cell state stþ1
x at the moment of t þ 1 is the function of the state combination Nt
x ¼ ðst
x1; st
x; st
xþ1Þ between the cell and the
neighbors at the moment of t, which is represented as stþ1
x ¼ f ðNt
xÞ. Thus, this function is named as local rule or local mapping
relation, which is usually described in terms of state transition table, such as the local rules of S. Wolfram No.76 cellular
automata in Table 1.