Animation (3) sur Pythagore

input geometriesyr16.mp ;


u:=1cm;

%----------------------------------- Définition du cadre
path cadre;
numeric xmin,xmax,ymin,ymax;
xmin:=-4u;
xmax:=8u;
ymin:=-6u;
ymax:=8u;

cadre:=(xmin,ymin)--(xmax,ymin)--(xmax,ymax)--(xmin,ymax)--cycle;

%---------------------------------- Définitions générales utilisées
%                                   sur toutes les figures

pair A,B,C,D,E,F,G,Q,R;
numeric c;
c:=5;
ang :=110;

C:=(0,0);     % grand carré
B:=(c*u,0);
Q:=(c*u,-c*u);
R:=(0,-c*u);

draw polygone(B,Q,R,C);


A:= B rotatedaround(0.5[B,C],ang); % point A

draw polygone(A,B,C);
trace codeperp(B,A,C,5);

D:= A rotatedaround(C,90); % carré gauche
E:= C rotatedaround(D,90);

draw polygone(A,E,D,C);


F:= B rotatedaround(A,90); % carré droit
G:= A rotatedaround(F,90);

draw polygone(A,B,G,F);

pair H,I,L;

H= whatever[D,E];
H= whatever[A,A shifted(C-R)];

I= whatever[R,Q];
I= whatever[A,A shifted(C-R)];

L= whatever[C,B];
L= whatever[A,A shifted(C-R)];

draw I--H dashed evenly;
draw H--E dashed evenly;
draw H--F dashed evenly;

picture fig;
path poly;

fig:=currentpicture;
currentpicture:=nullpicture;

beginfig(1)
  fill polygone(A,C,D,E) withcolor orange;  
  fill polygone(A,B,G,F) withcolor orange;

  %------------------------------- Tracé de la figure
  draw fig ;
  %------------------------------- Tracé du cadre
  draw cadre withcolor black withpen pencircle scaled 2pt; 
  clip currentpicture to cadre;
endfig;
  

for i:=0 upto 10:
  beginfig(i+2)
    fill polygone(A,B,G,F) withcolor orange;

    pair DD,EE;
    DD:=D shifted (0.1*i*(H-E));
    EE:=E shifted (0.1*i*(H-E));
    poly := polygone(A,C,DD,EE);
    fillcolor:=blue;
    transparence poly;
    %------------------------------- Tracé de la figure
    draw fig ;
    %------------------------------- Tracé du cadre
    draw cadre withcolor black withpen pencircle scaled 2pt;    
    clip currentpicture to cadre;
  endfig;
endfor;

for i:=1 upto 10:
  beginfig(i+12)
    fill polygone(A,B,G,F) withcolor orange;

    pair DD,EE;
    DD:=D shifted (H-E);
    EE:=E shifted (H-E);
    poly := polygone(A,C,DD,EE) shifted (0.1*i*(R-C));
    fillcolor:=blue;
    transparence poly;
    %------------------------------- Tracé de la figure
    draw fig ;
    %------------------------------- Tracé du cadre
    draw cadre withcolor black withpen pencircle scaled 2pt;    
    clip currentpicture to cadre;
  endfig;
endfor;


for i:=1 upto 10:
  beginfig(i+22)
    fill polygone(A,B,G,F) withcolor orange;

    pair K;
    K:=A shifted (R-C);
    pair AA,KK;
    AA:=A shifted (0.1*i*(I-K));
    KK:=K shifted (0.1*i*(I-K));
    poly := polygone(R,C,AA,KK);
    fillcolor:=blue;
    transparence poly;
    %------------------------------- Tracé de la figure
    draw fig ;
    %------------------------------- Tracé du cadre
    draw cadre withcolor black withpen pencircle scaled 2pt;    
    clip currentpicture to cadre;
  endfig;
endfor;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

for i:=0 upto 10:
  beginfig(i+33)
    fill polygone(I,R,C,L) withcolor orange;

    pair FF,GG;
    FF:=F shifted (0.1*i*(H-F));
    GG:=G shifted (0.1*i*(H-F));
    poly := polygone(A,B,GG,FF);
    fillcolor:=blue;
    transparence poly;
    %------------------------------- Tracé de la figure
    draw fig ;
    %------------------------------- Tracé du cadre
    draw cadre withcolor black withpen pencircle scaled 2pt;    
    clip currentpicture to cadre;
  endfig;
endfor;


for i:=1 upto 10:
  beginfig(i+43)
    fill polygone(I,R,C,L) withcolor orange;

    pair FF,GG;
    FF:=F shifted (H-F);
    GG:=G shifted (H-F);
    poly := polygone(A,B,GG,FF) shifted (0.1*i*(Q-B));
    fillcolor:=blue;
    transparence poly;
    %------------------------------- Tracé de la figure
    draw fig ;
    %------------------------------- Tracé du cadre
    draw cadre withcolor black withpen pencircle scaled 2pt;    
    clip currentpicture to cadre;
  endfig;
endfor;

for i:=1 upto 10:
  beginfig(i+53)
    fill polygone(I,R,C,L) withcolor orange;

    pair K;
    K:=A shifted (Q-B);
    pair AA,KK;
    AA:=A shifted (0.1*i*(I-K));
    KK:=K shifted (0.1*i*(I-K));
    poly := polygone(Q,B,AA,KK);
    fillcolor:=blue;
    transparence poly;
    %------------------------------- Tracé de la figure
    draw fig ;
    %------------------------------- Tracé du cadre
    draw cadre withcolor black withpen pencircle scaled 2pt;    
    clip currentpicture to cadre;
  endfig;
endfor;

beginfig(64)
  fill polygone(I,R,C,L) withcolor orange;  
  fill polygone(L,B,Q,I) withcolor orange;

  %------------------------------- Tracé de la figure
  draw fig ;
  %------------------------------- Tracé du cadre
  draw cadre withcolor black withpen pencircle scaled 2pt; 
  clip currentpicture to cadre;
endfig;

end ;