{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warni ng" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 431 "c := 189.07272:e:=sqrt(c/4):e1:=evalf(Pi^2/4/e):e2 :=evalf(Pi/2/e):\ncosta1:=(u,v)->Re(-WeierstrassZeta(u+I*v, c, 0)+Pi*u +\ne2*(WeierstrassZeta(u+I*v - 1/2, c, 0)-WeierstrassZeta(u+I*v - I/2, c, 0))):\ncosta2:=(u,v)->Re(-I*WeierstrassZeta(u+I*v, c, 0)+Pi*v-\ne2 *(WeierstrassZeta(u+I*v - 1/2, c, 0)-I*WeierstrassZeta(u+I*v - I/2, c, 0))):\ncosta3:=(u,v)->sqrt(2*Pi)/2*ln(abs((WeierstrassP(u+I*v, c, 0)- e)/( WeierstrassP(u+I*v, c, 0)+e))):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 159 "gr:=50:a:=6:plot3d([costa1(u,v),costa1(v,u),costa3(u ,v)], u=0.0001..1, v=0.0001..1,view=[-a..a,-a..a,-4..4],style=patchnog rid, lightmodel=light2,grid=[gr,gr]);" }}{PARA 7 "" 1 "" {TEXT -1 33 " Warning, computation interrupted\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 159 "gr:=50:a:=6:plot3d([costa2(v,u),costa2(u,v),costa3(u ,v)], u=0.0001..1, v=0.0001..1,view=[-a..a,-a..a,-4..4],style=patchnog rid, lightmodel=light2,grid=[gr,gr]);" }}{PARA 13 "" 1 "" {TEXT -1 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 693 "with(plots):\ncosta:= proc(u,v)\n local ze ta,zeta1,zeta2,p,x,y,z,e1,c:\n c:= 189.07272; e1:= sqrt(c)/2;\n \+ zeta:= (u,v) -> WeierstrassZeta(u+I*v,c,0);\n zeta1:= (u,v) -> Wei erstrassZeta(u+I*v-1/2,c,0);\n zeta2:= (u,v) -> WeierstrassZeta(u+I *v-I/2,c,0);\n p:=(u,v) -> WeierstrassP(u+I*v,c,0);\n x:=(u,v) \+ -> Re( Pi*u-zeta(u,v)+Pi*(zeta1(u,v)-zeta2(u,v))/2/e1 );\n y:=(u,v ) -> Re( Pi*v-zeta(v,u)+Pi*(zeta1(v,u)-zeta2(v,u))/(2*e1) );\n z:= (u,v) -> Re(sqrt(2*Pi)/2*ln(abs((p(u,v)-e1)/(p(u,v)+e1))));\n evalf ([x(u,v),y(u,v),z(u,v)]);\nend:\ng:=costa(u,v): M:=0.99999: m:=0.00001 : quad:=grid=[50,50]: a:=6:\n \ngminh:=[0.98*g[1],0.99*g[2],g[3]]: gm inb:=[0.99*g[1],0.98*g[2],g[3]]:\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 308 "C:=display( [plot3d(gminh,v=1-u..u,u=m..0.99999,quad ,color=red),plot3d(g,u=v..1-v,v=m..0.99999,quad,color=red),\n \+ plot3d(g,v=1-u..u,u=m..0.999,quad,color=cyan), plot3d(gminb,u=v..1-v, v=m..0.99999,quad,color=cyan) \n ],style=patch,scalin g=constrained,view=[-a..a,-a..a,-a+1.3..a-1.3]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 79 "display(seq(display(C,orientation=[0,k]),k=se q(10*q,q=0..18)),insequence=true);" }}{PARA 13 "" 1 "" {GLPLOT3D 575 575 575 {PLOTDATA 3 "6#-%(ANIMATEG657*-%%MESHG6%7T7T7%$!+C<$***[!\"&$ 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