Geometriesyr16 - Exemple 8

 input geometriesyr16;
 
 

 figureespace(-10u,-10u,25u,10u);
 Initialisation(5,25,20,250);
 color A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,S;
 B=(0,0,0);
 A=(1.3,0,0);
 D=(1.3,1.3,0);
 C=(0,1.3,0);
 G=(0,0,1.3);
 F=(1.3,0,1.3);
 E=(1.3,1.3,1.3);
 H=(0,1.3,1.3);
 I=(-0.3,1.4,0);
 J=(0.4,2.1,0);
 K=(-0.3,2.7,0);
 L-K=I-J;
 M-L=(0,0,0.7*sqrt(2));
 N-K=M-L;
 O-J=M-L;
 Q-I=M-L;
 S=(0.5,-0.75,2.5);
 P=ProjectionsurPlan(S,A,B,C);
 color F',E',E'',H',H'',H''',G',G'',O',M',N',Q';
 E'=IntersectionPlanDroite(A,B,C,S,E);
 F'=IntersectionPlanDroite(A,B,C,S,F);
 G'=IntersectionPlanDroite(A,B,C,S,G);
 H'=IntersectionPlanDroite(A,B,C,S,H);
 H''=IntersectionPlanDroite(Q,I,J,S,H);
 H'''=IntersectionPlanDroite(Q,O,M,S,H);
 G''=IntersectionPlanDroite(Q,I,J,G',H');
 E''=IntersectionPlanDroite(Q,I,J,E',H');
 O'=IntersectionPlanDroite(A,B,C,S,O);
 M'=IntersectionPlanDroite(A,B,C,S,M);
 N'=IntersectionPlanDroite(A,B,C,S,N);
 Q'=IntersectionPlanDroite(A,B,C,S,Q);
 color RR,SS,TT,UU,VV;
 RR=IntersectionDroite(G'',H'',Q,O);
 SS=IntersectionDroite(E'',H'',Q,O);
 TT=IntersectionDroite(G',H',I,L);
 VV=IntersectionDroite(E'',H'',J,O);
 UU=IntersectionDroite(G'',H'',I,Q);
 color W,Y;
 W=IntersectionDroite(J,O',E',H');
 Y=IntersectionDroite(M',Q',H',G');
 trace hachurage(polygone(D,C,B,G',TT,I,UU,RR,H''',SS,VV,J,K,L,M',N',O',W,E',F',A),60,0.25,0) withcolor gris;
 trace hachurage(polygone(TT,I,UU),60,0.25,0) withcolor gris;
 trace polygone(D,C,B,G',TT,UU,RR,H''',SS,VV,J,K,L,M',N',O',W,E',F',A) withcolor gris;
 trace polygone(G,F,E,H);
 trace polygone(E,H,C,D);
 trace polygone(F,E,D,A);
 trace chemin(A,B,G) dashed evenly;
 trace segment(B,C) dashed evenly;
 trace polygone(O,N,K,J);
 trace polygone(Q,M,N,O);
 trace polygone(Q,O,J,I);
 trace chemin(I,L,M) dashed evenly;
 trace segment(L,K) dashed evenly;
 trace segment(S,P);
 label.top(btex $S$ etex,Projette(S));
 label.bot(btex $P$ etex,Projette(P));
 finespace;
 end