Example Venn Diagram with isolated areas filled

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Author

John Hammersley

Last Updated

2 years ago

License

Creative Commons CC BY 4.0

Abstract

This example helps to show how the isolated areas of a Venn diagram can be filled / coloured.

It was created as part of this answer on TeX StackExchange.

Other options for creating Venn diagrams with multiple areas shaded can be found in the Overleaf gallery via the Venn Diagrams tag.

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Example Venn Diagram with isolated areas filled

\documentclass[12pt]{article}

\usepackage{tikz} \usetikzlibrary{positioning,shapes.geometric}

% For drawing
\def\firstellip{(1.6, 0) ellipse [x radius=3cm, y radius=1.5cm, rotate=50]}
\def\secondellip{(0.3, 1cm) ellipse [x radius=3cm, y radius=1.5cm,
rotate=50]} \def\thirdellip{(-1.6, 0) ellipse [x radius=3cm, y radius=1.5cm,
rotate=-50]} \def\fourthellip{(-0.3, 1cm) ellipse [x radius=3cm, y
radius=1.5cm, rotate=-50]} \def\bounding{(-5,-3) rectangle (5,4)}

\begin{document}

\begin{tikzpicture} \filldraw[fill=black, opacity=0.2] \bounding;

    \scope \fill[white] \fourthellip; \endscope \filldraw[fill=red,
    opacity=0.2] \fourthellip;

    %single colors
    \scope \fill[white] \secondellip; \fill[white] \thirdellip; \fill[white]
    \firstellip; \endscope

    \draw \firstellip node [label={[xshift=2.0cm, yshift=-0.9cm]$A$}] {};
    \draw \secondellip node [label={[xshift=2.2cm, yshift=2.1cm]$B$}] {};
    \draw \thirdellip node [label={[xshift=-2.0cm, yshift=-0.9cm]$C$}] {};
    \draw \fourthellip node [label={[xshift=-2.2cm, yshift=2.1cm]$D$}] {};
    \draw \bounding node [label=above left:$U$] {};

    \begin{scope}
        \begin{scope}[even odd rule]% first ellipse corner
            \clip \secondellip (-5,-5) rectangle (5,5);
            \clip \thirdellip (-5,-5) rectangle (5,5);
            \clip \fourthellip (-5,-5) rectangle (5,5);
        \fill[yellow] \firstellip;
        \end{scope}
    \end{scope}

    \begin{scope}
        \begin{scope}[even odd rule]% second ellipse corner
            \clip \firstellip (-5,-5) rectangle (5,5);
            \clip \thirdellip (-5,-5) rectangle (5,5);
            \clip \fourthellip (-5,-5) rectangle (5,5);
        \fill[yellow] \secondellip;
        \end{scope}
    \end{scope}

    \begin{scope}
        \begin{scope}[even odd rule]% third ellipse corner
            \clip \secondellip (-5,-5) rectangle (5,5);
            \clip \firstellip (-5,-5) rectangle (5,5);
            \clip \fourthellip (-5,-5) rectangle (5,5);
        \fill[yellow] \thirdellip;
        \end{scope}
    \end{scope}

\end{tikzpicture}  

\end{document}