Asymptote: 3d graph over a disc












3















Is there a straightforward way to draw a 3D graph over a disc domain? Say
z=x^2-y^2 for x^2+y^2<1.



[I just started to use asymptote; this page explained me how to do it for a rectangular domain. I hope it is an easy question.]










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    3















    Is there a straightforward way to draw a 3D graph over a disc domain? Say
    z=x^2-y^2 for x^2+y^2<1.



    [I just started to use asymptote; this page explained me how to do it for a rectangular domain. I hope it is an easy question.]










    share|improve this question

























      3












      3








      3








      Is there a straightforward way to draw a 3D graph over a disc domain? Say
      z=x^2-y^2 for x^2+y^2<1.



      [I just started to use asymptote; this page explained me how to do it for a rectangular domain. I hope it is an easy question.]










      share|improve this question














      Is there a straightforward way to draw a 3D graph over a disc domain? Say
      z=x^2-y^2 for x^2+y^2<1.



      [I just started to use asymptote; this page explained me how to do it for a rectangular domain. I hope it is an easy question.]







      graphs asymptote






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 2 hours ago









      Anton PetruninAnton Petrunin

      532313




      532313






















          1 Answer
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          3














          One way to make sure that x^2+y^2<1 is to use polar coordinates. Then x=r cos(phi) and y=r sin(phi).



          documentclass[variwidth,border=3.14mm]{standalone}
          usepackage{asypictureB}
          begin{document}
          begin{asypicture}{name=discgraph}
          usepackage("mathrsfs");
          import graph3;
          import solids;
          import interpolate;

          settings.outformat="pdf";


          size(500);

          defaultpen(0.5mm);
          pen darkgreen=rgb(0,138/255,122/255);

          draw(Label("$x$",1),(0,0,0)--(1.2,0,0),darkgreen,Arrow3);
          draw(Label("$y$",1),(0,0,0)--(0,1.2,0),darkgreen,Arrow3);
          draw(Label("$f(x,y)$",1),(0,0,0)--(0,0,0.6),darkgreen,Arrow3);



          //function: call the radial coordinate r=t.x and the angle phi=t.y
          triple f(pair t) {
          return ((t.x)*cos(t.y), (t.x)*sin(t.y),
          ((t.x)*cos(t.y))^2-((t.x)*sin(t.y))^2);
          }

          surface s=surface(f,(0,1),(0.49,2.5*pi),32,16,
          usplinetype=new splinetype {notaknot,notaknot,monotonic},
          vsplinetype=Spline);
          pen p=rgb(0,0,.7);
          draw(s,lightolive+white);
          end{asypicture}
          end{document}


          enter image description here






          share|improve this answer
























          • Thank you, but is there a direct way to make a condition x^2+y^2<1 for the arguments?

            – Anton Petrunin
            1 hour ago











          • @marmot: The x-axis near origin should be hidden from the given point of view. Is there any way to improve this issue? E.g., by setting some samples-option?

            – Marian G.
            1 hour ago












          Your Answer








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          1 Answer
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          active

          oldest

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          3














          One way to make sure that x^2+y^2<1 is to use polar coordinates. Then x=r cos(phi) and y=r sin(phi).



          documentclass[variwidth,border=3.14mm]{standalone}
          usepackage{asypictureB}
          begin{document}
          begin{asypicture}{name=discgraph}
          usepackage("mathrsfs");
          import graph3;
          import solids;
          import interpolate;

          settings.outformat="pdf";


          size(500);

          defaultpen(0.5mm);
          pen darkgreen=rgb(0,138/255,122/255);

          draw(Label("$x$",1),(0,0,0)--(1.2,0,0),darkgreen,Arrow3);
          draw(Label("$y$",1),(0,0,0)--(0,1.2,0),darkgreen,Arrow3);
          draw(Label("$f(x,y)$",1),(0,0,0)--(0,0,0.6),darkgreen,Arrow3);



          //function: call the radial coordinate r=t.x and the angle phi=t.y
          triple f(pair t) {
          return ((t.x)*cos(t.y), (t.x)*sin(t.y),
          ((t.x)*cos(t.y))^2-((t.x)*sin(t.y))^2);
          }

          surface s=surface(f,(0,1),(0.49,2.5*pi),32,16,
          usplinetype=new splinetype {notaknot,notaknot,monotonic},
          vsplinetype=Spline);
          pen p=rgb(0,0,.7);
          draw(s,lightolive+white);
          end{asypicture}
          end{document}


          enter image description here






          share|improve this answer
























          • Thank you, but is there a direct way to make a condition x^2+y^2<1 for the arguments?

            – Anton Petrunin
            1 hour ago











          • @marmot: The x-axis near origin should be hidden from the given point of view. Is there any way to improve this issue? E.g., by setting some samples-option?

            – Marian G.
            1 hour ago
















          3














          One way to make sure that x^2+y^2<1 is to use polar coordinates. Then x=r cos(phi) and y=r sin(phi).



          documentclass[variwidth,border=3.14mm]{standalone}
          usepackage{asypictureB}
          begin{document}
          begin{asypicture}{name=discgraph}
          usepackage("mathrsfs");
          import graph3;
          import solids;
          import interpolate;

          settings.outformat="pdf";


          size(500);

          defaultpen(0.5mm);
          pen darkgreen=rgb(0,138/255,122/255);

          draw(Label("$x$",1),(0,0,0)--(1.2,0,0),darkgreen,Arrow3);
          draw(Label("$y$",1),(0,0,0)--(0,1.2,0),darkgreen,Arrow3);
          draw(Label("$f(x,y)$",1),(0,0,0)--(0,0,0.6),darkgreen,Arrow3);



          //function: call the radial coordinate r=t.x and the angle phi=t.y
          triple f(pair t) {
          return ((t.x)*cos(t.y), (t.x)*sin(t.y),
          ((t.x)*cos(t.y))^2-((t.x)*sin(t.y))^2);
          }

          surface s=surface(f,(0,1),(0.49,2.5*pi),32,16,
          usplinetype=new splinetype {notaknot,notaknot,monotonic},
          vsplinetype=Spline);
          pen p=rgb(0,0,.7);
          draw(s,lightolive+white);
          end{asypicture}
          end{document}


          enter image description here






          share|improve this answer
























          • Thank you, but is there a direct way to make a condition x^2+y^2<1 for the arguments?

            – Anton Petrunin
            1 hour ago











          • @marmot: The x-axis near origin should be hidden from the given point of view. Is there any way to improve this issue? E.g., by setting some samples-option?

            – Marian G.
            1 hour ago














          3












          3








          3







          One way to make sure that x^2+y^2<1 is to use polar coordinates. Then x=r cos(phi) and y=r sin(phi).



          documentclass[variwidth,border=3.14mm]{standalone}
          usepackage{asypictureB}
          begin{document}
          begin{asypicture}{name=discgraph}
          usepackage("mathrsfs");
          import graph3;
          import solids;
          import interpolate;

          settings.outformat="pdf";


          size(500);

          defaultpen(0.5mm);
          pen darkgreen=rgb(0,138/255,122/255);

          draw(Label("$x$",1),(0,0,0)--(1.2,0,0),darkgreen,Arrow3);
          draw(Label("$y$",1),(0,0,0)--(0,1.2,0),darkgreen,Arrow3);
          draw(Label("$f(x,y)$",1),(0,0,0)--(0,0,0.6),darkgreen,Arrow3);



          //function: call the radial coordinate r=t.x and the angle phi=t.y
          triple f(pair t) {
          return ((t.x)*cos(t.y), (t.x)*sin(t.y),
          ((t.x)*cos(t.y))^2-((t.x)*sin(t.y))^2);
          }

          surface s=surface(f,(0,1),(0.49,2.5*pi),32,16,
          usplinetype=new splinetype {notaknot,notaknot,monotonic},
          vsplinetype=Spline);
          pen p=rgb(0,0,.7);
          draw(s,lightolive+white);
          end{asypicture}
          end{document}


          enter image description here






          share|improve this answer













          One way to make sure that x^2+y^2<1 is to use polar coordinates. Then x=r cos(phi) and y=r sin(phi).



          documentclass[variwidth,border=3.14mm]{standalone}
          usepackage{asypictureB}
          begin{document}
          begin{asypicture}{name=discgraph}
          usepackage("mathrsfs");
          import graph3;
          import solids;
          import interpolate;

          settings.outformat="pdf";


          size(500);

          defaultpen(0.5mm);
          pen darkgreen=rgb(0,138/255,122/255);

          draw(Label("$x$",1),(0,0,0)--(1.2,0,0),darkgreen,Arrow3);
          draw(Label("$y$",1),(0,0,0)--(0,1.2,0),darkgreen,Arrow3);
          draw(Label("$f(x,y)$",1),(0,0,0)--(0,0,0.6),darkgreen,Arrow3);



          //function: call the radial coordinate r=t.x and the angle phi=t.y
          triple f(pair t) {
          return ((t.x)*cos(t.y), (t.x)*sin(t.y),
          ((t.x)*cos(t.y))^2-((t.x)*sin(t.y))^2);
          }

          surface s=surface(f,(0,1),(0.49,2.5*pi),32,16,
          usplinetype=new splinetype {notaknot,notaknot,monotonic},
          vsplinetype=Spline);
          pen p=rgb(0,0,.7);
          draw(s,lightolive+white);
          end{asypicture}
          end{document}


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 2 hours ago









          marmotmarmot

          113k5145275




          113k5145275













          • Thank you, but is there a direct way to make a condition x^2+y^2<1 for the arguments?

            – Anton Petrunin
            1 hour ago











          • @marmot: The x-axis near origin should be hidden from the given point of view. Is there any way to improve this issue? E.g., by setting some samples-option?

            – Marian G.
            1 hour ago



















          • Thank you, but is there a direct way to make a condition x^2+y^2<1 for the arguments?

            – Anton Petrunin
            1 hour ago











          • @marmot: The x-axis near origin should be hidden from the given point of view. Is there any way to improve this issue? E.g., by setting some samples-option?

            – Marian G.
            1 hour ago

















          Thank you, but is there a direct way to make a condition x^2+y^2<1 for the arguments?

          – Anton Petrunin
          1 hour ago





          Thank you, but is there a direct way to make a condition x^2+y^2<1 for the arguments?

          – Anton Petrunin
          1 hour ago













          @marmot: The x-axis near origin should be hidden from the given point of view. Is there any way to improve this issue? E.g., by setting some samples-option?

          – Marian G.
          1 hour ago





          @marmot: The x-axis near origin should be hidden from the given point of view. Is there any way to improve this issue? E.g., by setting some samples-option?

          – Marian G.
          1 hour ago


















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