// Coordinates System : SetCoords(769,13.5,163.60803641922828,true); // Geometry : P1=Point("P1",0.1589163990293102,-1.86115551940096); P3=Point("P3",-4.498556526368166,-2.319568208908586); E6=Expression("E6","v est sur la face BFGC et w sur EFGH ","","","3","-4.516893033948471","-0.5287026352321282"); E5=Expression("E5","u1 est sur la face ABCD et u2 sur CDHG ","","","3","-4.516893033948471","-0.34533755942907796"); P2=Point("P2",-4.4924443571747315,-1.1949290773165442); E4=Expression("E4","Formule du double produit vectoriel : u\u2227(v\u2227w) = (u.w)v-(u.v)w","","","3","-4.578014725882821","-0.10085079169167764"); X=Point("X","[1,0,0]","1"); Z=Point("Z","[0,0,1]","1"); D=Point("D","[1,1,-1]","1"); Y=Point("Y","[0,1,0]","1"); H=Point("H","[-1,1,-1]","1"); G=Point("G","[-1,-1,-1]","1"); C=Point("C","[1,-1,-1]","1"); S31=Segment("S31",P1,Z); S107=Segment("S107",C,D); angl210=Angle("angl210",D,H,G); A=Symmetry("A",P1,G); F=Symmetry("F",P1,D); B=Symmetry("B",P1,H); angl26=Angle("angl26",H,G,C); S21=Segment("S21",P1,Y); S1010=Segment("S1010",H,D); S11=Segment("S11",P1,X); Poly2=Polygon("Poly2","_C,_D,_H,_G"); E=Symmetry("E",P1,C); S106=Segment("S106",G,H); angl111=Angle("angl111",H,G,C); S1011=Segment("S1011",G,C); angl17=Angle("angl17",G,C,D); Poly3=Polygon("Poly3","_C,_B,_F,_G"); angl29=Angle("angl29",A,E,H); S10=Segment("S10",A,D); S103=Segment("S103",B,C); angl110=Angle("angl110",E,H,D); angl211=Angle("angl211",C,G,F); angl1=Angle("angl1",B,A,D); angl25=Angle("angl25",E,F,G); Poly4=Polygon("Poly4","_F,_E,_H,_G"); angl27=Angle("angl27",D,C,B); angl13=Angle("angl13",F,B,C); angl12=Angle("angl12",E,F,G); S108=Segment("S108",F,B); angl15=Angle("angl15",B,F,E); S102=Segment("S102",F,G); angl23=Angle("angl23",C,B,A); angl18=Angle("angl18",G,F,B); S105=Segment("S105",F,E); angl21=Angle("angl21",H,E,F); angl14=Angle("angl14",C,B,A); angl28=Angle("angl28",B,F,E); S104=Segment("S104",B,A); angl11=Angle("angl11",A,E,H); S109=Segment("S109",E,A); angl22=Angle("angl22",G,F,B); S101=Segment("S101",E,H); Poly1=Polygon("Poly1","_C,_D,_A,_B"); angl19=Angle("angl19",F,E,A); angl2=Angle("angl2",D,A,E); u2=PointOn("u2",Poly2,[-0.06836388914892394,0.6213390069719524]); angl24=Angle("angl24",A,B,F); angl16=Angle("angl16",F,G,H); E36=Expression("E36","","","","S106.setDash((angl16>\u03C0)&&(angl26>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); v=PointOn("v",Poly3,[0.010255180752151765,0.6399137448489037]); E35=Expression("E35","","","","S105.setDash((angl15>\u03C0)&&(angl25>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); u1=PointOn("u1",Poly1,[0.3591372637402733,0.174169179300474]); E311=Expression("E311","","","","S1011.setDash((angl111>\u03C0)&&(angl211>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E310=Expression("E310","","","","S1010.setDash((angl110>\u03C0)&&(angl210>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E33=Expression("E33","","","","S103.setDash((angl13>\u03C0)&&(angl23>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E39=Expression("E39","","","","S109.setDash((angl19>\u03C0)&&(angl29>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E32=Expression("E32","","","","S102.setDash((angl12>\u03C0)&&(angl22>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E34=Expression("E34","","","","S104.setDash((angl14>\u03C0)&&(angl24>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E3=Expression("E3","","","","S10.setDash((angl1>\u03C0)&&(angl2>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E37=Expression("E37","","","","S107.setDash((angl17>\u03C0)&&(angl27>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); w=PointOn("w",Poly4,[0.14331696238408836,0.5182612527070525]); S8=Segment("S8",u2,P1); Cdu2=ExpressionOn("Cdu2","","","","u2",P2,[30,-10]); E31=Expression("E31","","","","S101.setDash((angl11>\u03C0)&&(angl21>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); E38=Expression("E38","","","","S108.setDash((angl18>\u03C0)&&(angl28>\u03C0));\"Dash code\"","-3.6586872410116276","-0.5424147718989817"); S4=Segment("S4",P1,v); Symc3=Symmetry("Symc3",v,w); Symc4=Symmetry("Symc4",w,v); Cdu1=ExpressionOn("Cdu1","","","","u1",P2,[30,-40]); Cdw=ExpressionOn("Cdw","","","","w",P2,[30,50]); Cdv=ExpressionOn("Cdv","","","","v",P2,[30,20]); S2=Segment("S2",P1,u1); S5=Segment("S5",P1,w); S3=Segment("S3",Symc3,Symc4); vw=Point("v\u2227w","[Cdv[1]*Cdw[2]-Cdw[1]*Cdv[2],Cdv[2]*Cdw[0]-Cdw[2]*Cdv[0],Cdv[0]*Cdw[1]-Cdw[0]*Cdv[1]]","1"); u2w=ExpressionOn("u2w","u2.w = ","","","Cdu2[0]*Cdw[0]+Cdu2[1]*Cdw[1]+Cdu2[2]*Cdw[2]",P2,[290,20]); u2v=ExpressionOn("u2v","u2.v = ","","","Cdu2[0]*Cdv[0]+Cdu2[1]*Cdv[1]+Cdu2[2]*Cdv[2]",P2,[290,50]); Symc1=Symmetry("Symc1",P1,Symc3); u1w=ExpressionOn("u1w","u1.w = ","","","Cdu1[0]*Cdw[0]+Cdu1[1]*Cdw[1]+Cdu1[2]*Cdw[2]",P2,[290,-40]); Symc2=Symmetry("Symc2",P1,Symc4); u1v=ExpressionOn("u1v","u1.v = ","","","Cdu1[0]*Cdv[0]+Cdu1[1]*Cdv[1]+Cdu1[2]*Cdv[2]",P2,[290,-10]); Cdvw=ExpressionOn("Cdvw","Coord v\u2227w = ","","","[Cdv[1]*Cdw[2]-Cdw[1]*Cdv[2],Cdv[2]*Cdw[0]-Cdw[2]*Cdv[0],Cdv[0]*Cdw[1]-Cdw[0]*Cdv[1]]",P3,[30,-60]); M1=MidPoint("M1",Symc3,Symc2); E2=ExpressionOn("E2","Coord u2\u2227(v\u2227w) = ","","","[Cdu2[1]*Cdvw[2]-Cdvw[1]*Cdu2[2],Cdu2[2]*Cdvw[0]-Cdvw[2]*Cdu2[0],Cdu2[0]*Cdvw[1]-Cdvw[0]*Cdu2[1]]",P3,[30,30]); E10=ExpressionOn("E10","(u2.w).v-(u2.v)w = ","","","u2w*Cdv-u2v*Cdw",P3,[30,60]); M2=MidPoint("M2",Symc4,Symc1); u1vw=Point("u1\u2227(v\u2227w)","[Cdu1[1]*Cdvw[2]-Cdvw[1]*Cdu1[2],Cdu1[2]*Cdvw[0]-Cdvw[2]*Cdu1[0],Cdu1[0]*Cdvw[1]-Cdvw[0]*Cdu1[1]]","1"); u2vw=Point("u2\u2227(v\u2227w)","[Cdu2[1]*Cdvw[2]-Cdvw[1]*Cdu2[2],Cdu2[2]*Cdvw[0]-Cdvw[2]*Cdu2[0],Cdu2[0]*Cdvw[1]-Cdvw[0]*Cdu2[1]]","1"); E1=ExpressionOn("E1","Coord u1\u2227(v\u2227w) = ","","","[Cdu1[1]*Cdvw[2]-Cdvw[1]*Cdu1[2],Cdu1[2]*Cdvw[0]-Cdvw[2]*Cdu1[0],Cdu1[0]*Cdvw[1]-Cdvw[0]*Cdu1[1]]",P3,[30,-30]); E9=ExpressionOn("E9","(u1.w)v-(u1.v)w = ","","","u1w*Cdv-u1v*Cdw",P3,[30,0]); S1=Segment("S1",P1,vw); Symc7=Symmetry("Symc7",Symc3,M1); S6=Segment("S6",P1,u1vw); Symc5=Symmetry("Symc5",Symc4,M2); Symc8=Symmetry("Symc8",Symc2,M1); S7=Segment("S7",P1,u2vw); Symc6=Symmetry("Symc6",M2,Symc5); Poly5=Polygon("Poly5","_Symc6,_Symc5,_Symc7,_Symc8"); // Styles : STL(P1,"c:#cf0928;s:5;f:17;sp:1;fl:true"); STL(P3,"c:#883884;s:4;f:30;sp:1;fl:true"); STL(E6,"c:#966400;s:7;f:18;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E5,"c:#39aa44;s:7;f:18;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(P2,"c:#3a1a39;s:4;f:30;sp:1;fl:true"); STL(E4,"c:#7f117c;s:7;f:20;p:-1;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(X,"c:#0000b2;h:1;o:1;s:4.5;sn:true;f:17"); STL(Z,"c:#0000b2;h:1;o:1;s:4.5;sn:true;f:17"); STL(D,"c:#4633db;o:0.83;s:3;sn:true;f:17"); STL(Y,"c:#0000b2;h:1;o:1;s:4.5;sn:true;f:17"); STL(H,"c:#4633db;o:1;s:3;sn:true;f:17"); STL(G,"c:#4633db;o:1;s:3;sn:true;f:17"); STL(C,"c:#4633db;o:0.98;s:3;sn:true;f:17"); STL(S31,"c:#117dad;h:1;s:1;f:24"); STL(S107,"c:#2c69cf;s:1;f:24"); STL(angl210,"c:#006633;h:2;s:4;f:24;p:1"); STL(A,"c:#4633db;o:1;s:3;sn:true;f:17"); STL(F,"c:#4633db;o:1;s:3;sn:true;f:17"); STL(B,"c:#4633db;o:0.84;s:3;sn:true;f:17"); STL(angl26,"c:#006633;h:2;s:4;f:24;p:1"); STL(S21,"c:#117dad;h:1;s:1;f:24"); STL(S1010,"c:#2c69cf;s:1;f:24"); STL(S11,"c:#117dad;h:1;s:1;f:24"); STL(Poly2,"c:#006633;h:1;o:0.2;s:1;f:30"); STL(E,"c:#4633db;o:1;s:3;sn:true;f:17"); STL(S106,"c:#2c69cf;s:1;f:24;dh:true"); STL(angl111,"c:#006633;h:2;s:4;f:24;p:1"); STL(S1011,"c:#2c69cf;s:1;f:24;dh:true"); STL(angl17,"c:#006633;h:2;s:4;f:24;p:1"); STL(Poly3,"c:#0054ff;h:1;o:0.2;s:1;f:30"); STL(angl29,"c:#006633;h:2;s:4;f:24;p:1"); STL(S10,"c:#2c69cf;s:1;f:24"); STL(S103,"c:#2c69cf;s:1;f:24"); STL(angl110,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl211,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl1,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl25,"c:#006633;h:2;s:4;f:24;p:1"); STL(Poly4,"c:#006633;h:1;o:0.2;s:1;f:30"); STL(angl27,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl13,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl12,"c:#006633;h:2;s:4;f:24;p:1"); STL(S108,"c:#2c69cf;s:1;f:24"); STL(angl15,"c:#006633;h:2;s:4;f:24;p:1"); STL(S102,"c:#2c69cf;s:1;f:24;dh:true"); STL(angl23,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl18,"c:#006633;h:2;s:4;f:24;p:1"); STL(S105,"c:#2c69cf;s:1;f:24"); STL(angl21,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl14,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl28,"c:#006633;h:2;s:4;f:24;p:1"); STL(S104,"c:#2c69cf;s:1;f:24"); STL(angl11,"c:#006633;h:2;s:4;f:24;p:1"); STL(S109,"c:#2c69cf;s:1;f:24"); STL(angl22,"c:#006633;h:2;s:4;f:24;p:1"); STL(S101,"c:#2c69cf;s:1;f:24"); STL(Poly1,"c:#ff00b5;h:1;o:0.2;s:1;f:30"); STL(angl19,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl2,"c:#006633;h:2;s:4;f:24;p:1"); STL(u2,"c:#39aa44;o:0.73;s:4.5;sn:true;f:17;np:0.48188709239433875"); STL(angl24,"c:#006633;h:2;s:4;f:24;p:1"); STL(angl16,"c:#006633;h:2;s:4;f:24;p:1"); STL(E36,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(v,"c:#966400;o:1;s:4.5;sn:true;f:17;np:0.5320188992749092"); STL(E35,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(u1,"c:#39aa44;o:1;s:4.5;sn:true;f:17;np:2.9617180960973397"); STL(E311,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E310,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E33,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E39,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E32,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E34,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E3,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E37,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(w,"c:#966400;o:1;s:4.5;sn:true;f:17;np:0.7046560787281795"); STL(S8,"c:#39aa44;s:1.5;f:24"); STL(Cdu2,"c:#39aa44;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6NC41O2Y6MTc="); STL(E31,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(E38,"c:#780013;h:2;s:7;f:18;p:4;cL:200;cPT:YzojNzgwMDEzO2g6MjtzOjQuNTtmOjE3"); STL(S4,"c:#966400;s:1.5;f:24"); STL(Symc3,"c:#0000b2;h:1;s:6;f:30"); STL(Symc4,"c:#0000b2;h:1;s:6;f:30"); STL(Cdu1,"c:#39aa44;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6NC41O2Y6MTc="); STL(Cdw,"c:#966400;s:7;sn:true;f:15;p:4;cL:200;cPT:YzojNzgwMDEzO3M6NC41O2Y6MTc="); STL(Cdv,"c:#966400;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6NC41O2Y6MTc="); STL(S2,"c:#39aa44;s:1.5;f:24"); STL(S5,"c:#966400;s:1.5;f:24"); STL(S3,"c:#966400;h:1;s:2;f:24"); STL(vw,"c:#ea15e4;s:6;sn:true;f:18;sp:1"); STL(u2w,"c:#663c4a;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(u2v,"c:#0f7e48;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(Symc1,"c:#0000b2;h:1;s:6;f:30"); STL(u1w,"c:#7a4c1f;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(Symc2,"c:#0000b2;h:1;s:6;f:30"); STL(u1v,"c:#4e5115;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(Cdvw,"c:#ea15e4;s:7;sn:true;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(M1,"c:#0000b2;h:1;s:6;f:30"); STL(E2,"c:#cf0928;s:7;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E10,"c:#966400;s:7;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(M2,"c:#0000b2;h:1;s:6;f:30"); STL(u1vw,"c:#cf0928;s:4;sn:true;f:19;sp:1"); STL(u2vw,"c:#cf0928;s:6;sn:true;f:18;sp:1"); STL(E1,"c:#cf0928;s:7;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(E9,"c:#007c7c;s:7;f:16;p:4;cL:200;cPT:YzojNzgwMDEzO3M6MTA7ZjozMA=="); STL(S1,"c:#ea15e4;s:1;f:24"); STL(Symc7,"c:#0000b2;h:1;s:6;f:30"); STL(S6,"c:#cf0928;s:2;f:24"); STL(Symc5,"c:#0000b2;h:1;s:6;f:30"); STL(Symc8,"c:#0000b2;h:1;s:6;f:30"); STL(S7,"c:#cf0928;s:2;f:24"); STL(Symc6,"c:#0000b2;h:1;s:6;f:30"); STL(Poly5,"c:#e733e3;o:0.2;s:1;f:30"); SetCoordsStyle("3Dmode:true;isAxis:false;isGrid:true;isOx:true;isOy:true;isLockOx:false;isLockOy:false;centerZoom:true;color:#111111;fontSize:18;axisWidth:1;gridWidth:0.1"); SetGeneralStyle("background-color:#FFFFFF");