restart:with(plottools):with(plots): Warning, the name changecoords has been redefined Warning, the previous binding of the name arrow has been removed and it now has an assigned value ini:=proc(a)
local A,i,j;
A:=array(1..32,1..32):
for i from 1 to 32 do
for j from 1 to 32 do
if i=14 and j=14 or i=14 and j=15 or i=14 and j=16 or i=14 and j=17 or i=15 and j=13
or i=15 and j=18 or i=15 and j=13 or i=16 and j=13 or i=16 and j=15 or i=16 and j=16
or i=16 and j=18 or i=17 and j=13 or i=17 and j=18 or i=18 and j=14 or i=18 and j=15
or i=18 and j=16 or i=18 and j=17 or i=19 and j=14 or i=19 and j=17 then A[i,j]:=1;
else A[i,j]:=0 fi:
od:od:evalm(A);
end: A:=ini(1); 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 successeur:=proc(A)
local B,C,i,j,test;
B:=array(1..32,1..32):
for i from 1 to 32 do for j from 1 to 32 do
if i=1 or i=32 or j=1 or j=32 then B[i,j]:=0 else
test:=A[i-1,j]+A[i,j+1]+A[i,j-1]+A[i-1,j+1]+A[i-1,j-1]+A[i+1,j+1]+A[i+1,j]+A[i+1,j-1];
if A[i,j]=1 and test=2 then B[i,j]:=1;
elif A[i,j]=1 and test=3 then B[i,j]:=1;
elif A[i,j]=0 and test=3 then B[i,j]:=1
else B[i,j]:=0
fi:fi:
od:od:
evalm(B):
end:
A:=ini(1):successeur(A); NiMtSSdtYXRyaXhHNiI2IzdCN0IiIiFGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYoRihGKEYoRihGKEYoRihGKEYoRig3QkYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRikiIiJGK0YpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpN0JGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYrRitGK0YrRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpN0JGKUYpRilGKUYpRilGKUYpRilGKUYpRilGK0YpRilGKUYpRitGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpN0JGKUYpRilGKUYpRilGKUYpRilGKUYpRitGK0YpRilGKUYpRitGK0YpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRi03QkYpRilGKUYpRilGKUYpRilGKUYpRilGKUYrRitGK0YrRitGK0YpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRik3QkYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRitGKUYpRitGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKEYoRihGKEYoRihGKEYoRihGKEYoRihGKA== Generation:=proc(n,A) option remember;
local B;
if n=0 then evalm(A); else B:=Generation(n-1,A);successeur(B); fi:
end;
NiM+SStHZW5lcmF0aW9uRzYiZio2JEkibkdGJUkiQUdGJTYjSSJCR0YlNiNJKXJlbWVtYmVyR0YlRiVAJS85JCIiIS1JJmV2YWxtRzYkSSpwcm90ZWN0ZWRHRjVJKF9zeXNsaWJHRiU2IzklQyQ+OCQtRiQ2JCwmRjAiIiIhIiJGP0Y4LUkrc3VjY2Vzc2V1ckdGJTYjRjtGJUYlRiU= Generation(3,ini(1)); NiMtSSdtYXRyaXhHNiI2IzdCN0IiIiFGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYoRihGKEYoRihGKEYoRihGKEYoRihGKDdCRilGKUYpRilGKUYpRilGKUYpRilGKUYpRikiIiJGKUYpRitGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYpRik3QkYpRilGKUYpRilGKUYpRilGKUYpRilGK0YpRilGK0YrRilGKUYrRilGKUYpRilGKUYpRilGKUYpRilGKUYpRik3QkYpRilGKUYpRilGKUYpRilGKUYpRilGK0YpRilGKUYpRilGKUYrRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGLTdCRilGKUYpRilGKUYpRilGKUYpRilGKUYpRitGKUYpRilGKUYrRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKTdCRilGKUYpRilGKUYpRilGKUYpRilGKUYpRitGK0YrRitGK0YrRilGKUYpRilGKUYpRilGKUYpRilGKUYpRilGKUYoRihGKEYoRihGKEYoRihGKEYoRihGKEYo Diagramme:=proc(n,A)
local i,j,p,m,liste,C;
liste:=NULL;
C:=array(1..32,1..32):C:=Generation(n,A);
for i from 1 to 32 do for j from 1 to 32 do
if C[i,j]=1 then p:=rectangle([j-1,i+1],[j,i],color=red):liste:=liste,p:fi:
od:od:
plots[display](liste,view=[0..30,0..30]);
end:
Diagramme(0,ini(1));Diagramme(1,ini(1));Diagramme(2,ini(1)); 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 F:=proc(t) Diagramme(trunc(t),ini(1)); end; NiM+SSJGRzYiZio2I0kidEdGJUYlRiVGJS1JKkRpYWdyYW1tZUdGJTYkLUkmdHJ1bmNHSSpwcm90ZWN0ZWRHRi42IzkkLUkkaW5pR0YlNiMiIiJGJUYlRiU= animate(F,[t],t=0..8,scaling=constrained, axes=none,frames=50); 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