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(Solved): Q7. (a) Calculate the following values of the neighbourhood state coun ing function N_(t)^(a)(x,y) f ...



Q7. (a) Calculate the following values of the neighbourhood state coun ing function

N_(t)^(a)(x,y)

for the two-dimensional cellular automato shown: (i)

N_(0)^(1)(1,1)

(ii)

N_(0)^(1)(2,1)

(iii)

N_(0)^(0)(4,2)

(iv)

N_(0)^(1)(2,2)

. (Q7 continued next page 4 (b) Fill in the grids for times

t=1

and

t=2

using the rule:

c_(t+1)(x,y)={(1, if N_(t)^(1)(x,y)>=2 and c_(t)(x,y)=0),(0, otherwise ):}

\table[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] Time

t=0

Time

t=1

Time

t=2


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