{{{id=1|
n = 31
tspan = 60

grid = [ [0] + [ZZ.random_element(0,2) for i in [1..n]] + [0] ]
for t in [1..tspan-1]:
    lastline = grid[-1]
    newline = [(lastline[(i-1)]+lastline[(i+1)])%2 for i in [1..n]]
    grid += [ [0] + newline + [0] ]
    
matrix_plot(grid,vmin=0,vmax=1)
///
}}}

{{{id=5|
n = 32
tspan = 30

grid = [ [ZZ.random_element(0,2) for i in [1..n]] ]
for t in [1..tspan-1]:
    lastline = grid[-1]
    newline = [(lastline[(i-1)%n]+lastline[(i+1)%n])%2 for i in [0..n-1]]
    grid += [newline]
    
matrix_plot(grid,vmin=0,vmax=1)
///
}}}

{{{id=4|

///
}}}

{{{id=2|

///
}}}

{{{id=3|

///
}}}