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how to fill the area under a curve


How to fill area under plot using a color map?Pgfplots: how to fill the area under a curve with oblique lines (hatching) as a pattern?Filling in the area under a normal distribution curvePgfplots: how to fill bounded area under a curve using addplot and fill?Fillbetween doesn't fill entire area under graphTikZ: how to fill area defined by intersections?Fill area under a smooth curveHow to fill the area below a curve in a chart with pgfplotsShading area under curve TikZRiemann Sum approaches Area under Curve













1















I can not find a way to fill the area under these 3 curves and the legend doesn't seem to show the correct line colours (the red one is missing?). Thanks.
screenshot



documentclass{article}
usepackage{amsmath}
usepackage{tikz}
usepackage{pgfplots}
pgfplotsset{compat=newest}

begin{document}
begin{tikzpicture}
begin{axis}[hide axis,clip=false,
xmin=-1,xmax=5,
ymin=-1,ymax=5,
ticks=none,
%axis line style={draw=none},
tick style={draw=none},
legend pos=outer north east,
scale=1.7
]

addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=200] {4} closedcycle;

addplot[no marks,color=blue!20,fill=blue!20,domain=-0:3.3,samples=200,scale=0.3,transform canvas={rotate around={22:(0,4)}},color=gray]plot[smooth] {-sqrt(x)+4-0.2*sin(deg(x^2))} closedcycle;

addplot[no marks,color=lime!20,fill=lime!20,domain=0:4.95,samples=200,transform canvas={rotate around={37:(0,0)}},scale=0.3,color=blue] plot[smooth]{0.75*sin(deg(x^2))/x} closedcycle;

addplot[no marks,domain=1.5:4.05,samples,scale=0.3,transform canvas={rotate around={15:(1.5,0)}},color=red] plot[smooth]{0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)};
node at (axis cs:1,1) {$Omega_1$};
node at (axis cs:1,2.5) {$Omega_2$};
node at (axis cs:1.3,3.6) {$Omega_3$};
draw (0,0) rectangle (4,4);
draw (0,4) node[left]{$b$} ;
draw (0,0) node[below]{$t_0$} ;
draw (0,0) node[above left]{$1$} ;
draw (4,0) node[below]{$t_1$} ;
draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,1)}$};
addlegendentry{$Phi_{(tau,sigma)}$};
end{axis}
end{tikzpicture}
end{document}









share|improve this question









New contributor




B.E.Atef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 2





    Welcome to TeX-SE! Which curves do you want to get filled. (The fillbetween library allows you to fill pretty much any curve.)

    – marmot
    2 hours ago











  • Gray between {y=4} and {y=sqrt{x}+4-0.2*sin{x^2)}, lime between {y=sqrt{x}+4-0.2*sin{x^2)} and {y=0.75*sin(x^2)/x}, blue between {y=0.75*sin(x^2)/x} and {y-0}

    – B.E.Atef
    1 hour ago











  • A large fraction of the difficulties stems from you using transform canvas. Have you tried to produce the plots without it (and e.g. just using rotate around or changing the parametrization of the plots)?

    – marmot
    1 hour ago











  • I used rotate around and fillbetween but the problem still.

    – B.E.Atef
    1 hour ago


















1















I can not find a way to fill the area under these 3 curves and the legend doesn't seem to show the correct line colours (the red one is missing?). Thanks.
screenshot



documentclass{article}
usepackage{amsmath}
usepackage{tikz}
usepackage{pgfplots}
pgfplotsset{compat=newest}

begin{document}
begin{tikzpicture}
begin{axis}[hide axis,clip=false,
xmin=-1,xmax=5,
ymin=-1,ymax=5,
ticks=none,
%axis line style={draw=none},
tick style={draw=none},
legend pos=outer north east,
scale=1.7
]

addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=200] {4} closedcycle;

addplot[no marks,color=blue!20,fill=blue!20,domain=-0:3.3,samples=200,scale=0.3,transform canvas={rotate around={22:(0,4)}},color=gray]plot[smooth] {-sqrt(x)+4-0.2*sin(deg(x^2))} closedcycle;

addplot[no marks,color=lime!20,fill=lime!20,domain=0:4.95,samples=200,transform canvas={rotate around={37:(0,0)}},scale=0.3,color=blue] plot[smooth]{0.75*sin(deg(x^2))/x} closedcycle;

addplot[no marks,domain=1.5:4.05,samples,scale=0.3,transform canvas={rotate around={15:(1.5,0)}},color=red] plot[smooth]{0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)};
node at (axis cs:1,1) {$Omega_1$};
node at (axis cs:1,2.5) {$Omega_2$};
node at (axis cs:1.3,3.6) {$Omega_3$};
draw (0,0) rectangle (4,4);
draw (0,4) node[left]{$b$} ;
draw (0,0) node[below]{$t_0$} ;
draw (0,0) node[above left]{$1$} ;
draw (4,0) node[below]{$t_1$} ;
draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,1)}$};
addlegendentry{$Phi_{(tau,sigma)}$};
end{axis}
end{tikzpicture}
end{document}









share|improve this question









New contributor




B.E.Atef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
















  • 2





    Welcome to TeX-SE! Which curves do you want to get filled. (The fillbetween library allows you to fill pretty much any curve.)

    – marmot
    2 hours ago











  • Gray between {y=4} and {y=sqrt{x}+4-0.2*sin{x^2)}, lime between {y=sqrt{x}+4-0.2*sin{x^2)} and {y=0.75*sin(x^2)/x}, blue between {y=0.75*sin(x^2)/x} and {y-0}

    – B.E.Atef
    1 hour ago











  • A large fraction of the difficulties stems from you using transform canvas. Have you tried to produce the plots without it (and e.g. just using rotate around or changing the parametrization of the plots)?

    – marmot
    1 hour ago











  • I used rotate around and fillbetween but the problem still.

    – B.E.Atef
    1 hour ago
















1












1








1


1






I can not find a way to fill the area under these 3 curves and the legend doesn't seem to show the correct line colours (the red one is missing?). Thanks.
screenshot



documentclass{article}
usepackage{amsmath}
usepackage{tikz}
usepackage{pgfplots}
pgfplotsset{compat=newest}

begin{document}
begin{tikzpicture}
begin{axis}[hide axis,clip=false,
xmin=-1,xmax=5,
ymin=-1,ymax=5,
ticks=none,
%axis line style={draw=none},
tick style={draw=none},
legend pos=outer north east,
scale=1.7
]

addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=200] {4} closedcycle;

addplot[no marks,color=blue!20,fill=blue!20,domain=-0:3.3,samples=200,scale=0.3,transform canvas={rotate around={22:(0,4)}},color=gray]plot[smooth] {-sqrt(x)+4-0.2*sin(deg(x^2))} closedcycle;

addplot[no marks,color=lime!20,fill=lime!20,domain=0:4.95,samples=200,transform canvas={rotate around={37:(0,0)}},scale=0.3,color=blue] plot[smooth]{0.75*sin(deg(x^2))/x} closedcycle;

addplot[no marks,domain=1.5:4.05,samples,scale=0.3,transform canvas={rotate around={15:(1.5,0)}},color=red] plot[smooth]{0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)};
node at (axis cs:1,1) {$Omega_1$};
node at (axis cs:1,2.5) {$Omega_2$};
node at (axis cs:1.3,3.6) {$Omega_3$};
draw (0,0) rectangle (4,4);
draw (0,4) node[left]{$b$} ;
draw (0,0) node[below]{$t_0$} ;
draw (0,0) node[above left]{$1$} ;
draw (4,0) node[below]{$t_1$} ;
draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,1)}$};
addlegendentry{$Phi_{(tau,sigma)}$};
end{axis}
end{tikzpicture}
end{document}









share|improve this question









New contributor




B.E.Atef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












I can not find a way to fill the area under these 3 curves and the legend doesn't seem to show the correct line colours (the red one is missing?). Thanks.
screenshot



documentclass{article}
usepackage{amsmath}
usepackage{tikz}
usepackage{pgfplots}
pgfplotsset{compat=newest}

begin{document}
begin{tikzpicture}
begin{axis}[hide axis,clip=false,
xmin=-1,xmax=5,
ymin=-1,ymax=5,
ticks=none,
%axis line style={draw=none},
tick style={draw=none},
legend pos=outer north east,
scale=1.7
]

addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=200] {4} closedcycle;

addplot[no marks,color=blue!20,fill=blue!20,domain=-0:3.3,samples=200,scale=0.3,transform canvas={rotate around={22:(0,4)}},color=gray]plot[smooth] {-sqrt(x)+4-0.2*sin(deg(x^2))} closedcycle;

addplot[no marks,color=lime!20,fill=lime!20,domain=0:4.95,samples=200,transform canvas={rotate around={37:(0,0)}},scale=0.3,color=blue] plot[smooth]{0.75*sin(deg(x^2))/x} closedcycle;

addplot[no marks,domain=1.5:4.05,samples,scale=0.3,transform canvas={rotate around={15:(1.5,0)}},color=red] plot[smooth]{0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)};
node at (axis cs:1,1) {$Omega_1$};
node at (axis cs:1,2.5) {$Omega_2$};
node at (axis cs:1.3,3.6) {$Omega_3$};
draw (0,0) rectangle (4,4);
draw (0,4) node[left]{$b$} ;
draw (0,0) node[below]{$t_0$} ;
draw (0,0) node[above left]{$1$} ;
draw (4,0) node[below]{$t_1$} ;
draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,1)}$};
addlegendentry{$Phi_{(tau,sigma)}$};
end{axis}
end{tikzpicture}
end{document}






tikz-pgf legend fill






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B.E.Atef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









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Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 1 hour ago









Superuser27

15912




15912






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Check out our Code of Conduct.









asked 3 hours ago









B.E.AtefB.E.Atef

61




61




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Check out our Code of Conduct.





New contributor





B.E.Atef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






B.E.Atef is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








  • 2





    Welcome to TeX-SE! Which curves do you want to get filled. (The fillbetween library allows you to fill pretty much any curve.)

    – marmot
    2 hours ago











  • Gray between {y=4} and {y=sqrt{x}+4-0.2*sin{x^2)}, lime between {y=sqrt{x}+4-0.2*sin{x^2)} and {y=0.75*sin(x^2)/x}, blue between {y=0.75*sin(x^2)/x} and {y-0}

    – B.E.Atef
    1 hour ago











  • A large fraction of the difficulties stems from you using transform canvas. Have you tried to produce the plots without it (and e.g. just using rotate around or changing the parametrization of the plots)?

    – marmot
    1 hour ago











  • I used rotate around and fillbetween but the problem still.

    – B.E.Atef
    1 hour ago
















  • 2





    Welcome to TeX-SE! Which curves do you want to get filled. (The fillbetween library allows you to fill pretty much any curve.)

    – marmot
    2 hours ago











  • Gray between {y=4} and {y=sqrt{x}+4-0.2*sin{x^2)}, lime between {y=sqrt{x}+4-0.2*sin{x^2)} and {y=0.75*sin(x^2)/x}, blue between {y=0.75*sin(x^2)/x} and {y-0}

    – B.E.Atef
    1 hour ago











  • A large fraction of the difficulties stems from you using transform canvas. Have you tried to produce the plots without it (and e.g. just using rotate around or changing the parametrization of the plots)?

    – marmot
    1 hour ago











  • I used rotate around and fillbetween but the problem still.

    – B.E.Atef
    1 hour ago










2




2





Welcome to TeX-SE! Which curves do you want to get filled. (The fillbetween library allows you to fill pretty much any curve.)

– marmot
2 hours ago





Welcome to TeX-SE! Which curves do you want to get filled. (The fillbetween library allows you to fill pretty much any curve.)

– marmot
2 hours ago













Gray between {y=4} and {y=sqrt{x}+4-0.2*sin{x^2)}, lime between {y=sqrt{x}+4-0.2*sin{x^2)} and {y=0.75*sin(x^2)/x}, blue between {y=0.75*sin(x^2)/x} and {y-0}

– B.E.Atef
1 hour ago





Gray between {y=4} and {y=sqrt{x}+4-0.2*sin{x^2)}, lime between {y=sqrt{x}+4-0.2*sin{x^2)} and {y=0.75*sin(x^2)/x}, blue between {y=0.75*sin(x^2)/x} and {y-0}

– B.E.Atef
1 hour ago













A large fraction of the difficulties stems from you using transform canvas. Have you tried to produce the plots without it (and e.g. just using rotate around or changing the parametrization of the plots)?

– marmot
1 hour ago





A large fraction of the difficulties stems from you using transform canvas. Have you tried to produce the plots without it (and e.g. just using rotate around or changing the parametrization of the plots)?

– marmot
1 hour ago













I used rotate around and fillbetween but the problem still.

– B.E.Atef
1 hour ago







I used rotate around and fillbetween but the problem still.

– B.E.Atef
1 hour ago












1 Answer
1






active

oldest

votes


















1














I do not know what your target picture is. And I am not claiming that the additional terms I add precisely correspond to your rotate around statements (but to a low approximation they do). Anyway, I am wondering if the following goes in the right direction.



documentclass{article}
usepackage{amsmath}
usepackage{tikz}
usepackage{pgfplots}
pgfplotsset{compat=newest}
%usepgfplotslibrary{fillbetween} %<- for more delicate fills
begin{document}
begin{tikzpicture}
begin{axis}[hide axis,clip=false,
xmin=-1,xmax=5,
ymin=-1,ymax=5,
ticks=none,
%axis line style={draw=none},
tick style={draw=none},
legend pos=outer north east,
scale=1.7
]

addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=2,forget plot] {4} closedcycle;

addplot[no marks,color=blue!20,fill=blue!20,domain=-0:4,samples=200,%scale=0.3,
%rotate around={22:(0,4)},
color=gray] {-sqrt(x)+4-0.2*sin(deg(x^2))+tan(22)*x} closedcycle;

addplot[no marks,color=lime!20,fill=lime!20,domain=0:4,samples=200,
%rotate around={37:(0,0)},scale=0.3,
color=blue]
{0.75*sin(deg(x^2))/x+tan(37)*x} closedcycle;

addplot[no marks,domain=1.5:4,samples,%scale=0.3,rotate around={15:(1.5,0)},
color=red,fill=red] {0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)+tan(15)*x}
closedcycle;
node at (axis cs:1,1) {$Omega_1$};
node at (axis cs:1,2.5) {$Omega_2$};
node at (axis cs:1.3,3.6) {$Omega_3$};
draw (0,0) rectangle (4,4);
draw (0,4) node[left]{$b$} ;
draw (0,0) node[below]{$t_0$} ;
draw (0,0) node[above left]{$1$} ;
draw (4,0) node[below]{$t_1$} ;
draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,b)}$};
addlegendentry{$Phi_{(t_0,1)}$};
addlegendentry{$Phi_{(tau,sigma)}$};
end{axis}
end{tikzpicture}
end{document}


enter image description here






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    1 Answer
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    active

    oldest

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    active

    oldest

    votes









    1














    I do not know what your target picture is. And I am not claiming that the additional terms I add precisely correspond to your rotate around statements (but to a low approximation they do). Anyway, I am wondering if the following goes in the right direction.



    documentclass{article}
    usepackage{amsmath}
    usepackage{tikz}
    usepackage{pgfplots}
    pgfplotsset{compat=newest}
    %usepgfplotslibrary{fillbetween} %<- for more delicate fills
    begin{document}
    begin{tikzpicture}
    begin{axis}[hide axis,clip=false,
    xmin=-1,xmax=5,
    ymin=-1,ymax=5,
    ticks=none,
    %axis line style={draw=none},
    tick style={draw=none},
    legend pos=outer north east,
    scale=1.7
    ]

    addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=2,forget plot] {4} closedcycle;

    addplot[no marks,color=blue!20,fill=blue!20,domain=-0:4,samples=200,%scale=0.3,
    %rotate around={22:(0,4)},
    color=gray] {-sqrt(x)+4-0.2*sin(deg(x^2))+tan(22)*x} closedcycle;

    addplot[no marks,color=lime!20,fill=lime!20,domain=0:4,samples=200,
    %rotate around={37:(0,0)},scale=0.3,
    color=blue]
    {0.75*sin(deg(x^2))/x+tan(37)*x} closedcycle;

    addplot[no marks,domain=1.5:4,samples,%scale=0.3,rotate around={15:(1.5,0)},
    color=red,fill=red] {0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)+tan(15)*x}
    closedcycle;
    node at (axis cs:1,1) {$Omega_1$};
    node at (axis cs:1,2.5) {$Omega_2$};
    node at (axis cs:1.3,3.6) {$Omega_3$};
    draw (0,0) rectangle (4,4);
    draw (0,4) node[left]{$b$} ;
    draw (0,0) node[below]{$t_0$} ;
    draw (0,0) node[above left]{$1$} ;
    draw (4,0) node[below]{$t_1$} ;
    draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
    draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
    draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
    draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
    draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
    addlegendentry{$Phi_{(t_0,b)}$};
    addlegendentry{$Phi_{(t_0,1)}$};
    addlegendentry{$Phi_{(tau,sigma)}$};
    end{axis}
    end{tikzpicture}
    end{document}


    enter image description here






    share|improve this answer




























      1














      I do not know what your target picture is. And I am not claiming that the additional terms I add precisely correspond to your rotate around statements (but to a low approximation they do). Anyway, I am wondering if the following goes in the right direction.



      documentclass{article}
      usepackage{amsmath}
      usepackage{tikz}
      usepackage{pgfplots}
      pgfplotsset{compat=newest}
      %usepgfplotslibrary{fillbetween} %<- for more delicate fills
      begin{document}
      begin{tikzpicture}
      begin{axis}[hide axis,clip=false,
      xmin=-1,xmax=5,
      ymin=-1,ymax=5,
      ticks=none,
      %axis line style={draw=none},
      tick style={draw=none},
      legend pos=outer north east,
      scale=1.7
      ]

      addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=2,forget plot] {4} closedcycle;

      addplot[no marks,color=blue!20,fill=blue!20,domain=-0:4,samples=200,%scale=0.3,
      %rotate around={22:(0,4)},
      color=gray] {-sqrt(x)+4-0.2*sin(deg(x^2))+tan(22)*x} closedcycle;

      addplot[no marks,color=lime!20,fill=lime!20,domain=0:4,samples=200,
      %rotate around={37:(0,0)},scale=0.3,
      color=blue]
      {0.75*sin(deg(x^2))/x+tan(37)*x} closedcycle;

      addplot[no marks,domain=1.5:4,samples,%scale=0.3,rotate around={15:(1.5,0)},
      color=red,fill=red] {0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)+tan(15)*x}
      closedcycle;
      node at (axis cs:1,1) {$Omega_1$};
      node at (axis cs:1,2.5) {$Omega_2$};
      node at (axis cs:1.3,3.6) {$Omega_3$};
      draw (0,0) rectangle (4,4);
      draw (0,4) node[left]{$b$} ;
      draw (0,0) node[below]{$t_0$} ;
      draw (0,0) node[above left]{$1$} ;
      draw (4,0) node[below]{$t_1$} ;
      draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
      draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
      draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
      draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
      draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
      addlegendentry{$Phi_{(t_0,b)}$};
      addlegendentry{$Phi_{(t_0,1)}$};
      addlegendentry{$Phi_{(tau,sigma)}$};
      end{axis}
      end{tikzpicture}
      end{document}


      enter image description here






      share|improve this answer


























        1












        1








        1







        I do not know what your target picture is. And I am not claiming that the additional terms I add precisely correspond to your rotate around statements (but to a low approximation they do). Anyway, I am wondering if the following goes in the right direction.



        documentclass{article}
        usepackage{amsmath}
        usepackage{tikz}
        usepackage{pgfplots}
        pgfplotsset{compat=newest}
        %usepgfplotslibrary{fillbetween} %<- for more delicate fills
        begin{document}
        begin{tikzpicture}
        begin{axis}[hide axis,clip=false,
        xmin=-1,xmax=5,
        ymin=-1,ymax=5,
        ticks=none,
        %axis line style={draw=none},
        tick style={draw=none},
        legend pos=outer north east,
        scale=1.7
        ]

        addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=2,forget plot] {4} closedcycle;

        addplot[no marks,color=blue!20,fill=blue!20,domain=-0:4,samples=200,%scale=0.3,
        %rotate around={22:(0,4)},
        color=gray] {-sqrt(x)+4-0.2*sin(deg(x^2))+tan(22)*x} closedcycle;

        addplot[no marks,color=lime!20,fill=lime!20,domain=0:4,samples=200,
        %rotate around={37:(0,0)},scale=0.3,
        color=blue]
        {0.75*sin(deg(x^2))/x+tan(37)*x} closedcycle;

        addplot[no marks,domain=1.5:4,samples,%scale=0.3,rotate around={15:(1.5,0)},
        color=red,fill=red] {0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)+tan(15)*x}
        closedcycle;
        node at (axis cs:1,1) {$Omega_1$};
        node at (axis cs:1,2.5) {$Omega_2$};
        node at (axis cs:1.3,3.6) {$Omega_3$};
        draw (0,0) rectangle (4,4);
        draw (0,4) node[left]{$b$} ;
        draw (0,0) node[below]{$t_0$} ;
        draw (0,0) node[above left]{$1$} ;
        draw (4,0) node[below]{$t_1$} ;
        draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
        draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
        draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
        draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
        draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
        addlegendentry{$Phi_{(t_0,b)}$};
        addlegendentry{$Phi_{(t_0,1)}$};
        addlegendentry{$Phi_{(tau,sigma)}$};
        end{axis}
        end{tikzpicture}
        end{document}


        enter image description here






        share|improve this answer













        I do not know what your target picture is. And I am not claiming that the additional terms I add precisely correspond to your rotate around statements (but to a low approximation they do). Anyway, I am wondering if the following goes in the right direction.



        documentclass{article}
        usepackage{amsmath}
        usepackage{tikz}
        usepackage{pgfplots}
        pgfplotsset{compat=newest}
        %usepgfplotslibrary{fillbetween} %<- for more delicate fills
        begin{document}
        begin{tikzpicture}
        begin{axis}[hide axis,clip=false,
        xmin=-1,xmax=5,
        ymin=-1,ymax=5,
        ticks=none,
        %axis line style={draw=none},
        tick style={draw=none},
        legend pos=outer north east,
        scale=1.7
        ]

        addplot[no marks,color=gray!20,fill=gray!20,domain=0:4,samples=2,forget plot] {4} closedcycle;

        addplot[no marks,color=blue!20,fill=blue!20,domain=-0:4,samples=200,%scale=0.3,
        %rotate around={22:(0,4)},
        color=gray] {-sqrt(x)+4-0.2*sin(deg(x^2))+tan(22)*x} closedcycle;

        addplot[no marks,color=lime!20,fill=lime!20,domain=0:4,samples=200,
        %rotate around={37:(0,0)},scale=0.3,
        color=blue]
        {0.75*sin(deg(x^2))/x+tan(37)*x} closedcycle;

        addplot[no marks,domain=1.5:4,samples,%scale=0.3,rotate around={15:(1.5,0)},
        color=red,fill=red] {0.5*sin(deg((x-1.5)*(x-1.5)))/(x-1.5)+tan(15)*x}
        closedcycle;
        node at (axis cs:1,1) {$Omega_1$};
        node at (axis cs:1,2.5) {$Omega_2$};
        node at (axis cs:1.3,3.6) {$Omega_3$};
        draw (0,0) rectangle (4,4);
        draw (0,4) node[left]{$b$} ;
        draw (0,0) node[below]{$t_0$} ;
        draw (0,0) node[above left]{$1$} ;
        draw (4,0) node[below]{$t_1$} ;
        draw (2.21,0.6) node[below] {$(tau,sigma)$} node[color=red] {$times$};
        draw (1.5,0) node[below] {$xi^{tau}(sigma)$} node[rotate=41,color=red] {$>$};
        draw [blue] (4,3.3) node[above right] {$Phi_{(t_0,1)}$};
        draw [red] (4,1.1) node[below right] {$Phi_{(tau,sigma)}$};
        draw [gray] (3.7,4) node[above] {$Phi_{(t_0,b)}$};
        addlegendentry{$Phi_{(t_0,b)}$};
        addlegendentry{$Phi_{(t_0,1)}$};
        addlegendentry{$Phi_{(tau,sigma)}$};
        end{axis}
        end{tikzpicture}
        end{document}


        enter image description here







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 1 hour ago









        marmotmarmot

        106k5129243




        106k5129243






















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