{VERSION 6 1 "Windows XP" "6.1" } {USTYLETAB {PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "Dash Item" -1 16 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 -1 3 3 1 0 1 0 2 2 -1 3 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "MS Serif" 1 12 0 0 0 0 1 0 0 2 2 2 0 0 0 1 }1 1 0 -1 0 0 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 " MS Serif" 1 14 0 0 0 0 1 1 0 2 2 2 0 0 0 1 }1 1 0 -1 0 0 1 0 1 0 2 2 -1 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 12 255 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{PSTYLE "A uthor" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }3 1 0 -1 8 8 1 0 1 0 2 2 -1 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "MS Serif" 1 16 0 0 0 0 0 1 0 2 2 2 0 0 0 1 }1 1 0 -1 8 2 1 0 1 0 2 2 -1 1 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }1 0 0 -1 -1 -1 1 0 1 0 2 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2 2 0 0 0 1 }{PSTYLE "_pstyle3" -1 202 1 {CSTYLE "" -1 -1 "Courier" 1 12 255 0 0 1 0 1 0 2 1 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 } {PSTYLE "_pstyle4" -1 203 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 255 1 0 0 0 2 2 1 0 0 0 1 }3 3 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "_cstyle3" -1 204 "Times" 1 12 0 0 255 1 0 0 0 2 2 2 0 0 0 1 }{CSTYLE "_cstyle4" -1 205 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }{PSTYLE "_pstyle5" -1 204 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }3 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "_cstyle5" -1 206 "Times" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }{PSTYLE "_pstyle6" -1 205 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }0 0 0 -1 -1 -1 1 0 1 0 2 2 -1 1 }{CSTYLE "_ cstyle6" -1 207 "Times" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }} {SECT 0 {EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 36 "restart:with(plo ttools):with(plots):" }{MPLTEXT 1 202 0 "" }}{PARA 201 "" 1 "" {TEXT 203 49 "Warning, the name changecoords has been redefined" }{TEXT 203 0 "" }}{PARA 201 "" 1 "" {TEXT 203 97 "Warning, the previous binding o f the name arrow has been removed and it now has an assigned value" } {TEXT 203 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 0 "" }}} {EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> \+ " 0 "" {MPLTEXT 1 202 12 "ini:=proc(a)" }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 13 "\nlocal A,i,j;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 23 "\nA:=array(1..32,1..32):" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 22 "\nfor i from 1 to 32 do" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 23 "\n for j from 1 to 32 do" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 88 "\n 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 " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 87 "\n 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" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 85 "\nor 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 " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 84 "\nor 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;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 19 "\nelse A[i,j]:=0 fi:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 16 "\nod:od:evalm(A);" }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 5 "\nend:" }{MPLTEXT 1 202 0 "" }}{PARA 202 "> " 0 "" {MPLTEXT 1 0 10 "A:=ini(1);" }{MPLTEXT 1 0 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I\"AG6\"-I'matrixGF%6#7B7B\"\"!F+F+F+F+F+F+F+F+F+F+F+F +F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F*F*F*F*F*F*F*F*F*F*F*F*7BF+F+F +F+F+F+F+F+F+F+F+F+F+\"\"\"F-F-F-F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+7BF+F+F +F+F+F+F+F+F+F+F+F+F-F+F+F+F+F-F+F+F+F+F+F+F+F+F+F+F+F+F+F+7BF+F+F+F+F +F+F+F+F+F+F+F+F-F+F-F-F+F-F+F+F+F+F+F+F+F+F+F+F+F+F+F+F.F,7BF+F+F+F+F +F+F+F+F+F+F+F+F+F-F+F+F-F+F+F+F+F+F+F+F+F+F+F+F+F+F+F+F*F*F*F*F*F*F*F *F*F*F*F*F*" }{TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 0 "" }}}{EXCHG {PAGEBK }}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 20 " successeur:=proc(A)" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 21 "\n local B,C,i,j,test;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 2 "\n " }{MPLTEXT 1 202 22 "B:=array(1..32,1..32):" }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 46 "\n for i from 1 to 32 do for j from 1 to 32 do" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 53 "\n if i=1 or i=32 or j=1 or \+ j=32 then B[i,j]:=0 else" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 90 "\n \+ 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];" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 42 "\n if A [i,j]=1 and test=2 then B[i,j]:=1;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 44 "\n elif A[i,j]=1 and test=3 then B[i,j]:=1;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 44 "\n elif A[i,j]=0 and test=3 then B[i,j] :=1 " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 18 "\n else B[i,j]:=0" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 10 "\n fi:fi:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 9 "\n od:od:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 11 "\n evalm(B):" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 1 "\n" }{MPLTEXT 1 202 1 "\n" }}} {EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 24 "A:=ini(1):successeur(A); " }{MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#-I'matrixG6 \"6#7B7B\"\"!F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F )F)F)F(F(F(F(F(F(F(F(F(F(F(7BF)F)F)F)F)F)F)F)F)F)F)F)F)F)\"\"\"F+F)F)F )F)F)F)F)F)F)F)F)F)F)F)F)F)7BF)F)F)F)F)F)F)F)F)F)F)F)F)F+F+F+F+F)F)F)F )F)F)F)F)F)F)F)F)F)F)F)7BF)F)F)F)F)F)F)F)F)F)F)F)F+F)F)F)F)F+F)F)F)F)F )F)F)F)F)F)F)F)F)F)7BF)F)F)F)F)F)F)F)F)F)F)F+F+F)F)F)F)F+F+F)F)F)F)F)F )F)F)F)F)F)F)F)F-7BF)F)F)F)F)F)F)F)F)F)F)F)F+F+F+F+F+F+F)F)F)F)F)F)F)F )F)F)F)F)F)F)7BF)F)F)F)F)F)F)F)F)F)F)F)F)F+F)F)F+F)F)F)F)F)F)F)F)F)F)F )F)F)F)F)F(F(F(F(F(F(F(F(F(F(F(F(F(" }{TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 0 "" }}}{EXCHG {PAGEBK }{PARA 200 "> " 0 "" {MPLTEXT 1 202 38 "Generation:=proc(n,A) option remember;" } {MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 9 "\nlocal B;" }{MPLTEXT 1 202 0 " " }{MPLTEXT 1 202 67 "\nif n=0 then evalm(A); else B:=Generation(n-1,A );successeur(B); fi:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend;" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 1 "\n" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#>I+GenerationG6\"f*6$I\"nGF%I\"AGF%6#I\"BGF%6#I)remembe rGF%F%@%/9$\"\"!-I&evalmG6$I*protectedGF5I(_syslibGF%6#9%C$>8$-F$6$,&F 0\"\"\"!\"\"F?F8-I+successeurGF%6#F;F%F%F%" }{TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 21 "Generation(3,ini(1));" } {MPLTEXT 1 202 0 "" }}{PARA 203 "" 1 "" {XPPMATH 20 "6#-I'matrixG6\"6# 7B7B\"\"!F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F)F )F(F(F(F(F(F(F(F(F(F(F(F(7BF)F)F)F)F)F)F)F)F)F)F)F)F)\"\"\"F)F)F+F)F)F )F)F)F)F)F)F)F)F)F)F)F)F)7BF)F)F)F)F)F)F)F)F)F)F)F+F)F)F+F+F)F)F+F)F)F )F)F)F)F)F)F)F)F)F)F)7BF)F)F)F)F)F)F)F)F)F)F)F+F)F)F)F)F)F)F+F)F)F)F)F )F)F)F)F)F)F)F)F)F-7BF)F)F)F)F)F)F)F)F)F)F)F)F+F)F)F)F)F+F)F)F)F)F)F)F )F)F)F)F)F)F)F)7BF)F)F)F)F)F)F)F)F)F)F)F)F+F+F+F+F+F+F)F)F)F)F)F)F)F)F )F)F)F)F)F)F(F(F(F(F(F(F(F(F(F(F(F(F(" }{TEXT 204 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 0 "" }}}{EXCHG {PAGEBK }{PARA 200 " > " 0 "" {MPLTEXT 1 202 20 "Diagramme:=proc(n,A)" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 24 "\n local i,j,p,m,liste,C;" }{MPLTEXT 1 202 0 "" } {MPLTEXT 1 202 14 "\nliste:=NULL; " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 43 "\n C:=array(1..32,1..32):C:=Generation(n,A);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 44 "\nfor i from 1 to 32 do for j from 1 to 32 do " }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 78 "\n if C[i,j]=1 then p:=rec tangle([j-1,i+1],[j,i],color=red):liste:=liste,p:fi:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 8 "\n od:od:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 42 "\nplots[display](liste,view=[0..30,0..30]);" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 5 "\nend:" }{MPLTEXT 1 202 0 "" }{MPLTEXT 1 202 1 "\n" }{MPLTEXT 1 202 2 "\n " }{MPLTEXT 1 202 0 "" }}}{EXCHG {PARA 200 "> " 0 "" {MPLTEXT 1 202 60 "Diagramme(0,ini(1));Diagramme(1,ini(1 ));Diagramme(2,ini(1));" }{MPLTEXT 1 202 0 "" }}{PARA 204 "" 1 "" {GLPLOT2D 400 400 400 {PLOTDATA 2 "65-%)POLYGONSG6$7&7$$\"#8\"\"!$\"#: F*7$$\"#9F*F+7$F.F.7$F(F.-%&COLORG6&%$RGBG$\"#5!\"\"$F*F8F9-F$6$7&F-7$ F+F+7$F+F.F0F2-F$6$7&F=7$$\"#;F*F+7$FCF.F>F2-F$6$7&FB7$$\"#F*7$F.F[q7$F.FZFapF2-F$6$7& F]q7$F+F[q7$F+FZF^qF2-F$6$7&Fbq7$FCF[q7$FCFZFcqF2-F$6$7&Fgq7$FJF[qFepF hqF2-F$6$7&7$F($\"#?F*7$F.FarF]qFjpF2-F$6$7&7$FCFar7$FJFarF\\rFgqF2-%% VIEWG6$;F9$\"#IF*F\\s" 1 2 2 0 10 1 2 6 1 4 2 1.0 45.0 45.0 1 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "Curve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" " Curve 15" "Curve 16" "Curve 17" "Curve 18" }}{TEXT 206 0 "" }}{PARA 204 "" 1 "" {GLPLOT2D 400 400 400 {PLOTDATA 2 "69-%)POLYGONSG6$7&7$$\" #9\"\"!F(7$$\"#:F*F(7$F,$\"#8F*7$F(F/-%&COLORG6&%$RGBG$\"#5!\"\"$F*F8F 9-F$6$7&F+7$$\"#;F*F(7$F>F/F.F2-F$6$7&7$F/F,7$F(F,F'7$F/F(F2-F$6$7&FE7 $F,F,F+F'F2-F$6$7&FJ7$F>F,F=F+F2-F$6$7&FN7$$\"#7$F/F>FD7$FZF,F2-F$6$7&7$FSF>7$$\"#=F*F>7$F]oF,FRF2-F$6$7&7$ $\"#6F*FS7$FZFSFY7$FdoF>F2-F$6$7&Ffo7$F/FSFfnFYF2-F$6$7&7$FSFS7$F]oFSF \\oF[oF2-F$6$7&F`p7$$\"#>F*FS7$FepF>F\\oF2-F$6$7&7$FZF]o7$F/F]oF[pFfoF 2-F$6$7&7$FSF]o7$F]oF]oF`pF_pF2-F$6$7&7$FZFep7$F/FepF\\qF[qF2-F$6$7&Ff q7$F(Fep7$F(F]oF\\qF2-F$6$7&Fjq7$F,Fep7$F,F]oF[rF2-F$6$7&F_r7$F>Fep7$F >F]oF`rF2-F$6$7&Fdr7$FSFepF`qFerF2-F$6$7&Fir7$F]oFepFaqF`qF2-F$6$7&7$F /$\"#?F*7$F(FbsFjqFfqF2-F$6$7&7$F>Fbs7$FSFbsFirFdrF2-%%VIEWG6$;F9$\"#I F*F]t" 1 2 2 0 10 1 2 6 1 4 2 1.0 45.0 45.0 1 0 "Curve 1" "Curve 2" "C urve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" "Curve 8" "Curve 9" "C urve 10" "Curve 11" "Curve 12" "Curve 13" "Curve 14" "Curve 15" "Curve 16" "Curve 17" "Curve 18" "Curve 19" "Curve 20" "Curve 21" "Curve 22" }}{TEXT 206 0 "" }}{PARA 204 "" 1 "" {GLPLOT2D 400 400 400 {PLOTDATA 2 "6=-%)POLYGONSG6$7&7$$\"#8\"\"!$\"#9F*7$F+F+7$F+F(7$F(F(-%&COLORG6&% $RGBG$\"#5!\"\"$F*F6F7-F$6$7&7$$\"#;F*F+7$$\"#F;F0-F$6$7&7$$\"#6F*F<7$ 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