Shade part of a Venn diagram












6















Can someone show me how to shade the yellow region by modifying my code?
Thank you in advance guys :)



desired output



documentclass{article}
usepackage[margin=0.5in]{geometry}
usepackage{pgfplots}
renewcommand{thesection}{arabic{section}}
usepackage{mathtools}
usepackage{cancel}
usepackage{pgfplots}
usepackage{amsmath}
newtheorem{theorem}{THEOREM}
newtheorem{proof}{PROOF}
usepackage{tikz}
usepackage{amssymb}
usetikzlibrary{patterns}
usepackage{fancyhdr}
usepackage{bigints}
usetikzlibrary{angles}
usepackage{tcolorbox}
usepackage{color,xcolor}
usepackage{booktabs,array}
usepackage{hyperref}
usepackage{graphicx}
usetikzlibrary{arrows}
usepackage{polynom}
usepackage{wallpaper}
usetikzlibrary{shapes.geometric}
usepgfplotslibrary{fillbetween}
newenvironment{tightcenter}{
setlengthtopsep{0pt}
setlengthparskip{0pt}
begin{center}}{end{center}}
begin{document}
begin{tikzpicture}
draw[thick] (-3,-3.9) rectangle (4,2);
draw[thick] (0,0) circle (1.5cm);
draw[thick] (1.5,0) circle (1.5cm);
draw[thick] (0.75,-1.6) circle (1.5cm);
%
%scope
%clip (-3,-2) rectangle (4,2)
%(0,0) circle (1.5cm);
%fill[gray] (1.5,0) circle (1.5cm);
%endscope
%
node [above] at (-3.1,2){$mathcal{E}$};
node at (-1.2,1.5) {$A$};
node at (+2.6,1.5) {$B$};
node at (+0.75,-3.4) {$C$};
end{tikzpicture}
end{document}









share|improve this question























  • We have many questions on drawing Venn diagrams which might help you. Take a look at tex.stackexchange.com/q/67395/86 and the questions linked to that one.

    – Loop Space
    Mar 29 at 7:04
















6















Can someone show me how to shade the yellow region by modifying my code?
Thank you in advance guys :)



desired output



documentclass{article}
usepackage[margin=0.5in]{geometry}
usepackage{pgfplots}
renewcommand{thesection}{arabic{section}}
usepackage{mathtools}
usepackage{cancel}
usepackage{pgfplots}
usepackage{amsmath}
newtheorem{theorem}{THEOREM}
newtheorem{proof}{PROOF}
usepackage{tikz}
usepackage{amssymb}
usetikzlibrary{patterns}
usepackage{fancyhdr}
usepackage{bigints}
usetikzlibrary{angles}
usepackage{tcolorbox}
usepackage{color,xcolor}
usepackage{booktabs,array}
usepackage{hyperref}
usepackage{graphicx}
usetikzlibrary{arrows}
usepackage{polynom}
usepackage{wallpaper}
usetikzlibrary{shapes.geometric}
usepgfplotslibrary{fillbetween}
newenvironment{tightcenter}{
setlengthtopsep{0pt}
setlengthparskip{0pt}
begin{center}}{end{center}}
begin{document}
begin{tikzpicture}
draw[thick] (-3,-3.9) rectangle (4,2);
draw[thick] (0,0) circle (1.5cm);
draw[thick] (1.5,0) circle (1.5cm);
draw[thick] (0.75,-1.6) circle (1.5cm);
%
%scope
%clip (-3,-2) rectangle (4,2)
%(0,0) circle (1.5cm);
%fill[gray] (1.5,0) circle (1.5cm);
%endscope
%
node [above] at (-3.1,2){$mathcal{E}$};
node at (-1.2,1.5) {$A$};
node at (+2.6,1.5) {$B$};
node at (+0.75,-3.4) {$C$};
end{tikzpicture}
end{document}









share|improve this question























  • We have many questions on drawing Venn diagrams which might help you. Take a look at tex.stackexchange.com/q/67395/86 and the questions linked to that one.

    – Loop Space
    Mar 29 at 7:04














6












6








6








Can someone show me how to shade the yellow region by modifying my code?
Thank you in advance guys :)



desired output



documentclass{article}
usepackage[margin=0.5in]{geometry}
usepackage{pgfplots}
renewcommand{thesection}{arabic{section}}
usepackage{mathtools}
usepackage{cancel}
usepackage{pgfplots}
usepackage{amsmath}
newtheorem{theorem}{THEOREM}
newtheorem{proof}{PROOF}
usepackage{tikz}
usepackage{amssymb}
usetikzlibrary{patterns}
usepackage{fancyhdr}
usepackage{bigints}
usetikzlibrary{angles}
usepackage{tcolorbox}
usepackage{color,xcolor}
usepackage{booktabs,array}
usepackage{hyperref}
usepackage{graphicx}
usetikzlibrary{arrows}
usepackage{polynom}
usepackage{wallpaper}
usetikzlibrary{shapes.geometric}
usepgfplotslibrary{fillbetween}
newenvironment{tightcenter}{
setlengthtopsep{0pt}
setlengthparskip{0pt}
begin{center}}{end{center}}
begin{document}
begin{tikzpicture}
draw[thick] (-3,-3.9) rectangle (4,2);
draw[thick] (0,0) circle (1.5cm);
draw[thick] (1.5,0) circle (1.5cm);
draw[thick] (0.75,-1.6) circle (1.5cm);
%
%scope
%clip (-3,-2) rectangle (4,2)
%(0,0) circle (1.5cm);
%fill[gray] (1.5,0) circle (1.5cm);
%endscope
%
node [above] at (-3.1,2){$mathcal{E}$};
node at (-1.2,1.5) {$A$};
node at (+2.6,1.5) {$B$};
node at (+0.75,-3.4) {$C$};
end{tikzpicture}
end{document}









share|improve this question














Can someone show me how to shade the yellow region by modifying my code?
Thank you in advance guys :)



desired output



documentclass{article}
usepackage[margin=0.5in]{geometry}
usepackage{pgfplots}
renewcommand{thesection}{arabic{section}}
usepackage{mathtools}
usepackage{cancel}
usepackage{pgfplots}
usepackage{amsmath}
newtheorem{theorem}{THEOREM}
newtheorem{proof}{PROOF}
usepackage{tikz}
usepackage{amssymb}
usetikzlibrary{patterns}
usepackage{fancyhdr}
usepackage{bigints}
usetikzlibrary{angles}
usepackage{tcolorbox}
usepackage{color,xcolor}
usepackage{booktabs,array}
usepackage{hyperref}
usepackage{graphicx}
usetikzlibrary{arrows}
usepackage{polynom}
usepackage{wallpaper}
usetikzlibrary{shapes.geometric}
usepgfplotslibrary{fillbetween}
newenvironment{tightcenter}{
setlengthtopsep{0pt}
setlengthparskip{0pt}
begin{center}}{end{center}}
begin{document}
begin{tikzpicture}
draw[thick] (-3,-3.9) rectangle (4,2);
draw[thick] (0,0) circle (1.5cm);
draw[thick] (1.5,0) circle (1.5cm);
draw[thick] (0.75,-1.6) circle (1.5cm);
%
%scope
%clip (-3,-2) rectangle (4,2)
%(0,0) circle (1.5cm);
%fill[gray] (1.5,0) circle (1.5cm);
%endscope
%
node [above] at (-3.1,2){$mathcal{E}$};
node at (-1.2,1.5) {$A$};
node at (+2.6,1.5) {$B$};
node at (+0.75,-3.4) {$C$};
end{tikzpicture}
end{document}






tikz-pgf venn-diagrams






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share|improve this question










asked Mar 29 at 3:25









Will KimWill Kim

792619




792619













  • We have many questions on drawing Venn diagrams which might help you. Take a look at tex.stackexchange.com/q/67395/86 and the questions linked to that one.

    – Loop Space
    Mar 29 at 7:04



















  • We have many questions on drawing Venn diagrams which might help you. Take a look at tex.stackexchange.com/q/67395/86 and the questions linked to that one.

    – Loop Space
    Mar 29 at 7:04

















We have many questions on drawing Venn diagrams which might help you. Take a look at tex.stackexchange.com/q/67395/86 and the questions linked to that one.

– Loop Space
Mar 29 at 7:04





We have many questions on drawing Venn diagrams which might help you. Take a look at tex.stackexchange.com/q/67395/86 and the questions linked to that one.

– Loop Space
Mar 29 at 7:04










1 Answer
1






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oldest

votes


















11














Straightforward with reverseclip.



documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{backgrounds}
% based on https://tex.stackexchange.com/a/12033/121799
tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
(current bounding box.north east)} }}
begin{document}
begin{tikzpicture}
draw[thick] (-3,-3.9) rectangle (4,2);
draw[thick] (0,0) circle (1.5cm);
draw[thick] (1.5,0) circle (1.5cm);
draw[thick] (0.75,-1.6) circle (1.5cm);
node [above] at (-3.1,2){$mathcal{E}$};
node at (-1.2,1.5) {$A$};
node at (+2.6,1.5) {$B$};
node at (+0.75,-3.4) {$C$};
begin{scope}[on background layer]
clip (0,0) circle (1.5cm) [reverseclip];
clip (1.5,0) circle (1.5cm);
fill[yellow] (0.75,-1.6) circle (1.5cm);
end{scope}
end{tikzpicture}
end{document}


enter image description here



One can of course avoid repetition and make it a bit more automatic by storing the paths in macros and using pgf keys. Then it boils down to



begin{scope}[on background layer]
pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
end{scope}


with the same output.



documentclass[tikz,border=3.14mm]{standalone}
usetikzlibrary{backgrounds}
% based on https://tex.stackexchange.com/a/12033/121799
tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
(current bounding box.north east)} }}
makeatletter % https://tex.stackexchange.com/a/38995/121799
tikzset{
use path/.code={pgfsyssoftpath@setcurrentpath{#1}}
}
makeatother
defPATH{path}
begin{document}
pgfkeys{not inside/.code={clip[use path=#1,reverseclip];},
inside/.code={clip[use path=#1];},
shade/.code=fill[#1] (current bounding box.south west)rectangle
(current bounding box.north east);}
begin{tikzpicture}
draw[thick] (-3,-3.9) rectangle (4,2);
draw[thick,save path=pathA] (0,0) circle (1.5cm);
draw[thick,save path=pathB] (1.5,0) circle (1.5cm);
draw[thick,save path=pathC] (0.75,-1.6) circle (1.5cm);
node [above] at (-3.1,2){$mathcal{E}$};
node at (-1.2,1.5) {$A$};
node at (+2.6,1.5) {$B$};
node at (+0.75,-3.4) {$C$};
begin{scope}[on background layer]
pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
end{scope}
end{tikzpicture}
end{document}





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    1 Answer
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    1 Answer
    1






    active

    oldest

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    active

    oldest

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    active

    oldest

    votes









    11














    Straightforward with reverseclip.



    documentclass[tikz,border=3.14mm]{standalone}
    usetikzlibrary{backgrounds}
    % based on https://tex.stackexchange.com/a/12033/121799
    tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
    (current bounding box.north east)} }}
    begin{document}
    begin{tikzpicture}
    draw[thick] (-3,-3.9) rectangle (4,2);
    draw[thick] (0,0) circle (1.5cm);
    draw[thick] (1.5,0) circle (1.5cm);
    draw[thick] (0.75,-1.6) circle (1.5cm);
    node [above] at (-3.1,2){$mathcal{E}$};
    node at (-1.2,1.5) {$A$};
    node at (+2.6,1.5) {$B$};
    node at (+0.75,-3.4) {$C$};
    begin{scope}[on background layer]
    clip (0,0) circle (1.5cm) [reverseclip];
    clip (1.5,0) circle (1.5cm);
    fill[yellow] (0.75,-1.6) circle (1.5cm);
    end{scope}
    end{tikzpicture}
    end{document}


    enter image description here



    One can of course avoid repetition and make it a bit more automatic by storing the paths in macros and using pgf keys. Then it boils down to



    begin{scope}[on background layer]
    pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
    end{scope}


    with the same output.



    documentclass[tikz,border=3.14mm]{standalone}
    usetikzlibrary{backgrounds}
    % based on https://tex.stackexchange.com/a/12033/121799
    tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
    (current bounding box.north east)} }}
    makeatletter % https://tex.stackexchange.com/a/38995/121799
    tikzset{
    use path/.code={pgfsyssoftpath@setcurrentpath{#1}}
    }
    makeatother
    defPATH{path}
    begin{document}
    pgfkeys{not inside/.code={clip[use path=#1,reverseclip];},
    inside/.code={clip[use path=#1];},
    shade/.code=fill[#1] (current bounding box.south west)rectangle
    (current bounding box.north east);}
    begin{tikzpicture}
    draw[thick] (-3,-3.9) rectangle (4,2);
    draw[thick,save path=pathA] (0,0) circle (1.5cm);
    draw[thick,save path=pathB] (1.5,0) circle (1.5cm);
    draw[thick,save path=pathC] (0.75,-1.6) circle (1.5cm);
    node [above] at (-3.1,2){$mathcal{E}$};
    node at (-1.2,1.5) {$A$};
    node at (+2.6,1.5) {$B$};
    node at (+0.75,-3.4) {$C$};
    begin{scope}[on background layer]
    pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
    end{scope}
    end{tikzpicture}
    end{document}





    share|improve this answer






























      11














      Straightforward with reverseclip.



      documentclass[tikz,border=3.14mm]{standalone}
      usetikzlibrary{backgrounds}
      % based on https://tex.stackexchange.com/a/12033/121799
      tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
      (current bounding box.north east)} }}
      begin{document}
      begin{tikzpicture}
      draw[thick] (-3,-3.9) rectangle (4,2);
      draw[thick] (0,0) circle (1.5cm);
      draw[thick] (1.5,0) circle (1.5cm);
      draw[thick] (0.75,-1.6) circle (1.5cm);
      node [above] at (-3.1,2){$mathcal{E}$};
      node at (-1.2,1.5) {$A$};
      node at (+2.6,1.5) {$B$};
      node at (+0.75,-3.4) {$C$};
      begin{scope}[on background layer]
      clip (0,0) circle (1.5cm) [reverseclip];
      clip (1.5,0) circle (1.5cm);
      fill[yellow] (0.75,-1.6) circle (1.5cm);
      end{scope}
      end{tikzpicture}
      end{document}


      enter image description here



      One can of course avoid repetition and make it a bit more automatic by storing the paths in macros and using pgf keys. Then it boils down to



      begin{scope}[on background layer]
      pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
      end{scope}


      with the same output.



      documentclass[tikz,border=3.14mm]{standalone}
      usetikzlibrary{backgrounds}
      % based on https://tex.stackexchange.com/a/12033/121799
      tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
      (current bounding box.north east)} }}
      makeatletter % https://tex.stackexchange.com/a/38995/121799
      tikzset{
      use path/.code={pgfsyssoftpath@setcurrentpath{#1}}
      }
      makeatother
      defPATH{path}
      begin{document}
      pgfkeys{not inside/.code={clip[use path=#1,reverseclip];},
      inside/.code={clip[use path=#1];},
      shade/.code=fill[#1] (current bounding box.south west)rectangle
      (current bounding box.north east);}
      begin{tikzpicture}
      draw[thick] (-3,-3.9) rectangle (4,2);
      draw[thick,save path=pathA] (0,0) circle (1.5cm);
      draw[thick,save path=pathB] (1.5,0) circle (1.5cm);
      draw[thick,save path=pathC] (0.75,-1.6) circle (1.5cm);
      node [above] at (-3.1,2){$mathcal{E}$};
      node at (-1.2,1.5) {$A$};
      node at (+2.6,1.5) {$B$};
      node at (+0.75,-3.4) {$C$};
      begin{scope}[on background layer]
      pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
      end{scope}
      end{tikzpicture}
      end{document}





      share|improve this answer




























        11












        11








        11







        Straightforward with reverseclip.



        documentclass[tikz,border=3.14mm]{standalone}
        usetikzlibrary{backgrounds}
        % based on https://tex.stackexchange.com/a/12033/121799
        tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
        (current bounding box.north east)} }}
        begin{document}
        begin{tikzpicture}
        draw[thick] (-3,-3.9) rectangle (4,2);
        draw[thick] (0,0) circle (1.5cm);
        draw[thick] (1.5,0) circle (1.5cm);
        draw[thick] (0.75,-1.6) circle (1.5cm);
        node [above] at (-3.1,2){$mathcal{E}$};
        node at (-1.2,1.5) {$A$};
        node at (+2.6,1.5) {$B$};
        node at (+0.75,-3.4) {$C$};
        begin{scope}[on background layer]
        clip (0,0) circle (1.5cm) [reverseclip];
        clip (1.5,0) circle (1.5cm);
        fill[yellow] (0.75,-1.6) circle (1.5cm);
        end{scope}
        end{tikzpicture}
        end{document}


        enter image description here



        One can of course avoid repetition and make it a bit more automatic by storing the paths in macros and using pgf keys. Then it boils down to



        begin{scope}[on background layer]
        pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
        end{scope}


        with the same output.



        documentclass[tikz,border=3.14mm]{standalone}
        usetikzlibrary{backgrounds}
        % based on https://tex.stackexchange.com/a/12033/121799
        tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
        (current bounding box.north east)} }}
        makeatletter % https://tex.stackexchange.com/a/38995/121799
        tikzset{
        use path/.code={pgfsyssoftpath@setcurrentpath{#1}}
        }
        makeatother
        defPATH{path}
        begin{document}
        pgfkeys{not inside/.code={clip[use path=#1,reverseclip];},
        inside/.code={clip[use path=#1];},
        shade/.code=fill[#1] (current bounding box.south west)rectangle
        (current bounding box.north east);}
        begin{tikzpicture}
        draw[thick] (-3,-3.9) rectangle (4,2);
        draw[thick,save path=pathA] (0,0) circle (1.5cm);
        draw[thick,save path=pathB] (1.5,0) circle (1.5cm);
        draw[thick,save path=pathC] (0.75,-1.6) circle (1.5cm);
        node [above] at (-3.1,2){$mathcal{E}$};
        node at (-1.2,1.5) {$A$};
        node at (+2.6,1.5) {$B$};
        node at (+0.75,-3.4) {$C$};
        begin{scope}[on background layer]
        pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
        end{scope}
        end{tikzpicture}
        end{document}





        share|improve this answer















        Straightforward with reverseclip.



        documentclass[tikz,border=3.14mm]{standalone}
        usetikzlibrary{backgrounds}
        % based on https://tex.stackexchange.com/a/12033/121799
        tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
        (current bounding box.north east)} }}
        begin{document}
        begin{tikzpicture}
        draw[thick] (-3,-3.9) rectangle (4,2);
        draw[thick] (0,0) circle (1.5cm);
        draw[thick] (1.5,0) circle (1.5cm);
        draw[thick] (0.75,-1.6) circle (1.5cm);
        node [above] at (-3.1,2){$mathcal{E}$};
        node at (-1.2,1.5) {$A$};
        node at (+2.6,1.5) {$B$};
        node at (+0.75,-3.4) {$C$};
        begin{scope}[on background layer]
        clip (0,0) circle (1.5cm) [reverseclip];
        clip (1.5,0) circle (1.5cm);
        fill[yellow] (0.75,-1.6) circle (1.5cm);
        end{scope}
        end{tikzpicture}
        end{document}


        enter image description here



        One can of course avoid repetition and make it a bit more automatic by storing the paths in macros and using pgf keys. Then it boils down to



        begin{scope}[on background layer]
        pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
        end{scope}


        with the same output.



        documentclass[tikz,border=3.14mm]{standalone}
        usetikzlibrary{backgrounds}
        % based on https://tex.stackexchange.com/a/12033/121799
        tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
        (current bounding box.north east)} }}
        makeatletter % https://tex.stackexchange.com/a/38995/121799
        tikzset{
        use path/.code={pgfsyssoftpath@setcurrentpath{#1}}
        }
        makeatother
        defPATH{path}
        begin{document}
        pgfkeys{not inside/.code={clip[use path=#1,reverseclip];},
        inside/.code={clip[use path=#1];},
        shade/.code=fill[#1] (current bounding box.south west)rectangle
        (current bounding box.north east);}
        begin{tikzpicture}
        draw[thick] (-3,-3.9) rectangle (4,2);
        draw[thick,save path=pathA] (0,0) circle (1.5cm);
        draw[thick,save path=pathB] (1.5,0) circle (1.5cm);
        draw[thick,save path=pathC] (0.75,-1.6) circle (1.5cm);
        node [above] at (-3.1,2){$mathcal{E}$};
        node at (-1.2,1.5) {$A$};
        node at (+2.6,1.5) {$B$};
        node at (+0.75,-3.4) {$C$};
        begin{scope}[on background layer]
        pgfkeys{not inside=pathA,inside/.list={pathB,pathC},shade=yellow}
        end{scope}
        end{tikzpicture}
        end{document}






        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Mar 29 at 5:45

























        answered Mar 29 at 3:33









        marmotmarmot

        117k5150283




        117k5150283






























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