Drawing a curve (not necessarily an arc) in tikz-3dplot












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I'm trying to draw a curve in tikz-3dplot that isn't the arc of a circle. I would like for it to specified by control points, similar to how tikz has (0,0) to [controls=+(45:1) and +(135:1)] (1,0). I know I can draw an arc of a circle, with tdplotdrawpolytopearc, but I couldn't find anything in the documentation about how to draw any other type of curve. If I use the same syntax as for 2D curves, it seems a default plane is chosen in which the control points act (seems like the xy-plane). Maybe there's a way to choose that plane (and change it for every point)?



Here's a MWE and output for what I have:



documentclass[tikz]{standalone}
usepackage{tikz,tikz-3dplot}
begin{document}
tdplotsetmaincoords{75}{130}
begin{tikzpicture}[tdplot_main_coords]
% Shape and boundary
draw[blue] (0,0,0)--(-1,1,0);
fill[green,fill opacity=.8] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,0,1);
draw[blue] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,1,1)--(0,0,1)--(0,0,0);
draw[blue] (0,0,1)--(-1,1,1) (0,1,0)--(0,1,1);
% Natural guess how to draw curve
draw[red] (0,0,0) to [controls=+(45:1) and +(135:1)] (0,1,0);
% Closest documented way how to draw curve
tdplotdefinepoints(0,.5,-.3)(0,-.5,.3)(0,1.5,.3)
tdplotdrawpolytopearc{.583}{}{}
end{tikzpicture}
end{document}


enter image description here



I would like to draw a curve on the "face" of this prism that's facing left, like the black curve, but with more "strength" at the end points (like a sine curve). The failed attempt is the red curve that seems to be in the plane of the "bottom" face of the prism.



So, my question is: How can I draw a curve in 3D that is not the arc of a circle?










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    0















    I'm trying to draw a curve in tikz-3dplot that isn't the arc of a circle. I would like for it to specified by control points, similar to how tikz has (0,0) to [controls=+(45:1) and +(135:1)] (1,0). I know I can draw an arc of a circle, with tdplotdrawpolytopearc, but I couldn't find anything in the documentation about how to draw any other type of curve. If I use the same syntax as for 2D curves, it seems a default plane is chosen in which the control points act (seems like the xy-plane). Maybe there's a way to choose that plane (and change it for every point)?



    Here's a MWE and output for what I have:



    documentclass[tikz]{standalone}
    usepackage{tikz,tikz-3dplot}
    begin{document}
    tdplotsetmaincoords{75}{130}
    begin{tikzpicture}[tdplot_main_coords]
    % Shape and boundary
    draw[blue] (0,0,0)--(-1,1,0);
    fill[green,fill opacity=.8] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,0,1);
    draw[blue] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,1,1)--(0,0,1)--(0,0,0);
    draw[blue] (0,0,1)--(-1,1,1) (0,1,0)--(0,1,1);
    % Natural guess how to draw curve
    draw[red] (0,0,0) to [controls=+(45:1) and +(135:1)] (0,1,0);
    % Closest documented way how to draw curve
    tdplotdefinepoints(0,.5,-.3)(0,-.5,.3)(0,1.5,.3)
    tdplotdrawpolytopearc{.583}{}{}
    end{tikzpicture}
    end{document}


    enter image description here



    I would like to draw a curve on the "face" of this prism that's facing left, like the black curve, but with more "strength" at the end points (like a sine curve). The failed attempt is the red curve that seems to be in the plane of the "bottom" face of the prism.



    So, my question is: How can I draw a curve in 3D that is not the arc of a circle?










    share|improve this question

























      0












      0








      0








      I'm trying to draw a curve in tikz-3dplot that isn't the arc of a circle. I would like for it to specified by control points, similar to how tikz has (0,0) to [controls=+(45:1) and +(135:1)] (1,0). I know I can draw an arc of a circle, with tdplotdrawpolytopearc, but I couldn't find anything in the documentation about how to draw any other type of curve. If I use the same syntax as for 2D curves, it seems a default plane is chosen in which the control points act (seems like the xy-plane). Maybe there's a way to choose that plane (and change it for every point)?



      Here's a MWE and output for what I have:



      documentclass[tikz]{standalone}
      usepackage{tikz,tikz-3dplot}
      begin{document}
      tdplotsetmaincoords{75}{130}
      begin{tikzpicture}[tdplot_main_coords]
      % Shape and boundary
      draw[blue] (0,0,0)--(-1,1,0);
      fill[green,fill opacity=.8] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,0,1);
      draw[blue] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,1,1)--(0,0,1)--(0,0,0);
      draw[blue] (0,0,1)--(-1,1,1) (0,1,0)--(0,1,1);
      % Natural guess how to draw curve
      draw[red] (0,0,0) to [controls=+(45:1) and +(135:1)] (0,1,0);
      % Closest documented way how to draw curve
      tdplotdefinepoints(0,.5,-.3)(0,-.5,.3)(0,1.5,.3)
      tdplotdrawpolytopearc{.583}{}{}
      end{tikzpicture}
      end{document}


      enter image description here



      I would like to draw a curve on the "face" of this prism that's facing left, like the black curve, but with more "strength" at the end points (like a sine curve). The failed attempt is the red curve that seems to be in the plane of the "bottom" face of the prism.



      So, my question is: How can I draw a curve in 3D that is not the arc of a circle?










      share|improve this question














      I'm trying to draw a curve in tikz-3dplot that isn't the arc of a circle. I would like for it to specified by control points, similar to how tikz has (0,0) to [controls=+(45:1) and +(135:1)] (1,0). I know I can draw an arc of a circle, with tdplotdrawpolytopearc, but I couldn't find anything in the documentation about how to draw any other type of curve. If I use the same syntax as for 2D curves, it seems a default plane is chosen in which the control points act (seems like the xy-plane). Maybe there's a way to choose that plane (and change it for every point)?



      Here's a MWE and output for what I have:



      documentclass[tikz]{standalone}
      usepackage{tikz,tikz-3dplot}
      begin{document}
      tdplotsetmaincoords{75}{130}
      begin{tikzpicture}[tdplot_main_coords]
      % Shape and boundary
      draw[blue] (0,0,0)--(-1,1,0);
      fill[green,fill opacity=.8] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,0,1);
      draw[blue] (0,0,0)--(0,1,0)--(-1,1,0)--(-1,1,1)--(0,1,1)--(0,0,1)--(0,0,0);
      draw[blue] (0,0,1)--(-1,1,1) (0,1,0)--(0,1,1);
      % Natural guess how to draw curve
      draw[red] (0,0,0) to [controls=+(45:1) and +(135:1)] (0,1,0);
      % Closest documented way how to draw curve
      tdplotdefinepoints(0,.5,-.3)(0,-.5,.3)(0,1.5,.3)
      tdplotdrawpolytopearc{.583}{}{}
      end{tikzpicture}
      end{document}


      enter image description here



      I would like to draw a curve on the "face" of this prism that's facing left, like the black curve, but with more "strength" at the end points (like a sine curve). The failed attempt is the red curve that seems to be in the plane of the "bottom" face of the prism.



      So, my question is: How can I draw a curve in 3D that is not the arc of a circle?







      tikz-pgf diagrams tikz-3dplot






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      asked 13 mins ago









      Jānis LazovskisJānis Lazovskis

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