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