Example Venn Diagram with isolated areas filled

Open as TemplateSe PDF

Forfatter

John Hammersley

Last Updated

2 years ago

License

Creative Commons CC BY 4.0

Resumé

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.

Tags

Find More Examples

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}