TikZ PGF: How to draw crater-like 3D surface based on polynomial equations?












1















Assumed we have some kind of squared 3D graph like this one:



Minimum Working Example (MWE):



documentclass{standalone}
usepackage{tikz, pgfplots}

begin{document}

begin{tikzpicture}
begin{axis}[samples=20]
addplot3[surf, domain=-2:2] {-x^2-y^2};
end{axis}
end{tikzpicture}

end{document}




Screenshot of the result:



Visualization of pipe flow





How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?





Draft of the desired result



In the end it should look like that:



Draft of the desired result



The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)



I don't know why, but several approaches with...



addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};


... do not show up like I expected.










share|improve this question





























    1















    Assumed we have some kind of squared 3D graph like this one:



    Minimum Working Example (MWE):



    documentclass{standalone}
    usepackage{tikz, pgfplots}

    begin{document}

    begin{tikzpicture}
    begin{axis}[samples=20]
    addplot3[surf, domain=-2:2] {-x^2-y^2};
    end{axis}
    end{tikzpicture}

    end{document}




    Screenshot of the result:



    Visualization of pipe flow





    How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?





    Draft of the desired result



    In the end it should look like that:



    Draft of the desired result



    The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)



    I don't know why, but several approaches with...



    addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};


    ... do not show up like I expected.










    share|improve this question



























      1












      1








      1








      Assumed we have some kind of squared 3D graph like this one:



      Minimum Working Example (MWE):



      documentclass{standalone}
      usepackage{tikz, pgfplots}

      begin{document}

      begin{tikzpicture}
      begin{axis}[samples=20]
      addplot3[surf, domain=-2:2] {-x^2-y^2};
      end{axis}
      end{tikzpicture}

      end{document}




      Screenshot of the result:



      Visualization of pipe flow





      How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?





      Draft of the desired result



      In the end it should look like that:



      Draft of the desired result



      The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)



      I don't know why, but several approaches with...



      addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};


      ... do not show up like I expected.










      share|improve this question
















      Assumed we have some kind of squared 3D graph like this one:



      Minimum Working Example (MWE):



      documentclass{standalone}
      usepackage{tikz, pgfplots}

      begin{document}

      begin{tikzpicture}
      begin{axis}[samples=20]
      addplot3[surf, domain=-2:2] {-x^2-y^2};
      end{axis}
      end{tikzpicture}

      end{document}




      Screenshot of the result:



      Visualization of pipe flow





      How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?





      Draft of the desired result



      In the end it should look like that:



      Draft of the desired result



      The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)



      I don't know why, but several approaches with...



      addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};


      ... do not show up like I expected.







      tikz-pgf pgfplots 3d tikz-3dplot tikz-3d






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 5 mins ago







      Dave

















      asked 12 mins ago









      DaveDave

      747516




      747516






















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