[Tex/LaTex] Color the faces of a graph

asymptotecolorpstrickstikz-pgf

I want to modify the image (see code below)

enter image description here

by shading in the regions formed by the dashed lines that contain a black dot. The goal is to obtain something like

enter image description here

How can I shade these regions?

Code for image:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\begin{document}
\tikzstyle{open}   = [draw, black, fill=white, shape=circle]
\tikzstyle{closed} = [draw,        fill,       shape=circle]
\tikzstyle{invisibleVertex} = [shape=circle]
\tikzstyle{invisibleEdge} = [draw opacity=0]
\begin{tikzpicture}[scale=1,transform shape,node distance=2.5cm,>=open triangle 60,semithick]
 \node[closed] (0)              {};
 \node[closed] (1) [right of=0] {};
 \node[closed] (2) [below of=1] {};
 \node[closed] (3) [left  of=2] {};
 \path (0) edge node[open] (m0) {} (1)
       (1) edge node[open] (m1) {} (2)
       (2) edge node[open] (m2) {} (3)
       (3) edge node[open] (m3) {} (0);
 \path (m0) edge[->, densely dashed]                                                                        (m1)
            edge[<-, densely dashed, out=  45, in=  45, looseness=3, overlay] node[invisibleVertex] (e0) {} (m1)
       (m1) edge[->, densely dashed]                                                                        (m2)
            edge[<-, densely dashed, out= -45, in= -45, looseness=3, overlay] node[invisibleVertex] (e1) {} (m2)
       (m2) edge[->, densely dashed]                                                                        (m3)
            edge[<-, densely dashed, out=-135, in=-135, looseness=3, overlay] node[invisibleVertex] (e2) {} (m3)
       (m3) edge[->, densely dashed]                                                                        (m0)
            edge[<-, densely dashed, out= 135, in= 135, looseness=3, overlay] node[invisibleVertex] (e3) {} (m0);
 \node[invisibleVertex, below=0cm of e0] {};
 \node[invisibleVertex, left =0cm of e1] {};
 \node[invisibleVertex, above=0cm of e2] {};
 \node[invisibleVertex, right=0cm of e3] {};
\end{tikzpicture}
\end{document}

Best Answer

It's always complex to do a lot of things at the same time. I searched a trick because there is little bug if I use open triangle 60. The path is not exactly the same. Look at this picture to see the problem (same code as below but with open triangle 60)

enter image description here

Perhaps it's possible to use a simpler way. The problem with edge is we don't get a closed path .

You can compare

\fill (0,0) edge [bend right] (5,0) edge (0,0);

with

\fill (0,0) to [bend right] (5,0) to (0,0);

It's possible to use foreach to write a shorter code.

\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,backgrounds}
\begin{document}
\tikzstyle{open}   = [draw, black, fill=white, shape=circle]
\tikzstyle{closed} = [draw,        fill,       shape=circle]
\tikzstyle{invisibleVertex} = [shape=circle]
\tikzstyle{invisibleEdge} = [draw opacity=0]
\begin{tikzpicture}[scale=1,node distance=2.5cm,>=triangle 60,semithick]
 \node[closed] (0)              {};
 \node[closed] (1) [right of=0] {};
 \node[closed] (2) [below of=1] {};
 \node[closed] (3) [left  of=2] {};
 \path (0) edge node[open] (m0) {} (1)
       (1) edge node[open] (m1) {} (2)
       (2) edge node[open] (m2) {} (3)
       (3) edge node[open] (m3) {} (0);


\begin{scope}[on background layer]    
 \fill[fill=green!40]  (m1.45)   to[ out=  45, in=  45,looseness=3]  (m0.45) to (m0.-45) to  (m1.-45) to  (m1.45);
 \fill[fill=green!40]  (m2.-45)  to[ out=  -45, in= -45,looseness=3] (m1.-45) to (m1.45) to  (m2.45) to  (m2.-45);
 \fill[fill=green!40]  (m3.-135) to[ out= -135, in= -135,looseness=3] (m2.-135) to (m2.135) to  (m3.135) to  (m3.-135);
 \fill[fill=green!40]  (m0.-225) to[ out= -225, in= -225,looseness=3] (m3.-225) to (m3.225) to (m0.225) to  (m0.-225);

\end{scope}

 \draw[->,densely dashed]  (m0) to   (m1);
 \draw[densely dashed,->]  (m1.45)   to[ out=  45, in=  45, looseness=3] node[invisibleVertex] (e0) {} (m0.45) ;

 \draw[->,densely dashed]  (m1) to   (m2);
 \draw[densely dashed,->]  (m2.-45)   to[out=  -45, in=  -45, looseness=3 ] node[invisibleVertex] (e1) {} (m1.-45) ;

 \draw[->,densely dashed]  (m2) to   (m3);
 \draw[densely dashed,->]  (m3.-135)   to[ out=  -135, in=  -135, looseness=3] node[invisibleVertex] (e2) {} (m2.-135);                        
 \draw[->,densely dashed]  (m3) to   (m0);
\draw[densely dashed,->]  (m0.-225)   to[ out=  -225, in=  -225, looseness=3] node[invisibleVertex] (e3) {} (m3.-225) ;



 \node[invisibleVertex, below=0cm of e0] {};
 \node[invisibleVertex, left =0cm of e1] {};
 \node[invisibleVertex, above=0cm of e2] {};
 \node[invisibleVertex, right=0cm of e3] {};

\end{tikzpicture}
\end{document}

Without open triangle it's possible to do :

\begin{scope}[on background layer]    
 \fill[fill=green!40]  (m1.45)   to[out=  45, in=  45,looseness=3]   (m0.45)   to (m0.-45) to  (m1.-45) to  (m1.45);
 \fill[fill=green!40]  (m2.-45)  to[out=  -45, in= -45,looseness=3]  (m1.-45)  to (m1.45)  to  (m2.45)  to  (m2.-45);
 \fill[fill=green!40]  (m3.-135) to[out= -135, in= -135,looseness=3] (m2.-135) to (m2.135) to  (m3.135) to  (m3.-135);
 \fill[fill=green!40]  (m0.-225) to[out= -225, in= -225,looseness=3] (m3.-225) to (m3.225) to (m0.225)  to  (m0.-225);
\end{scope}

\path (m0) edge[->, densely dashed]                                                                        (m1)
            edge[<-, densely dashed, out=  45, in=  45, looseness=3, overlay] node[invisibleVertex] (e0) {} (m1)
       (m1) edge[->, densely dashed]                                                                        (m2)
            edge[<-, densely dashed, out= -45, in= -45, looseness=3, overlay] node[invisibleVertex] (e1) {} (m2)
       (m2) edge[->, densely dashed]                                                                        (m3)
            edge[<-, densely dashed, out=-135, in=-135, looseness=3, overlay] node[invisibleVertex] (e2) {} (m3)
       (m3) edge[->, densely dashed]                                                                        (m0)
            edge[<-, densely dashed, out= 135, in= 135, looseness=3, overlay] node[invisibleVertex] (e3) {} (m0);

enter image description here

Update : I defined a new arrow because it' seems that the definition of open triangle' is wrong. I definednew open triangle 60`.

\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,backgrounds}
\makeatletter
\pgfarrowsdeclare{new open triangle 60}{new open triangle 60}
{
  \pgfutil@tempdima=0.5pt%
  \advance\pgfutil@tempdima by.25\pgflinewidth%
  \pgfutil@tempdimb=7.29\pgfutil@tempdima\advance\pgfutil@tempdimb by.5\pgflinewidth%
  \pgfarrowsleftextend{+-\pgfutil@tempdimb}
  \pgfutil@tempdimb=.5\pgfutil@tempdima\advance\pgfutil@tempdimb by\pgflinewidth%
  \pgfarrowsrightextend{+\pgfutil@tempdimb}
}
{
  \pgfutil@tempdima=0.5pt%
  \advance\pgfutil@tempdima by.25\pgflinewidth%
  \pgfsetdash{}{+0pt}
  \pgfsetmiterjoin
    \pgfsetfillcolor{white}
  \pgfpathmoveto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpointpolar{150}{9\pgfutil@tempdima}}}
  \pgfpathlineto{\pgfqpoint{0.5\pgfutil@tempdima}{0\pgfutil@tempdima}}
  \pgfpathlineto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpointpolar{-150}{9\pgfutil@tempdima}}}
  \pgfpathclose
  \pgfusepathqfillstroke
}
\makeatother

... etc
\begin{tikzpicture}[scale=1,node distance=2.5cm,>= new open triangle 60,semithick]
... etc.

enter image description here

Update and remark

Finally there are some adverse side effects with the actual solution. For example :

enter image description here

With triangle 60 and new open triangle 60 the tips are misplaced but the lines are correct. Finally with open triangle 60 the tips are well placed but the lines are incorrect.

I don't know if it's easy to modify the definition of the arrows to get correct positions for the tips and the lines.

A possibility like mwibrow wrote it's to use the decoration library. The next code is an adaptation.

enter image description here

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows,backgrounds}
\usetikzlibrary{arrows,positioning,backgrounds,decorations.markings}
\begin{document}
\tikzset{background grid/.style={draw=red,step=.5cm},background rectangle/.style={fill=blue!20}}
\makeatletter
\pgfarrowsdeclare{new open triangle 60}{new open triangle 60}
{
  \pgfutil@tempdima=0.5pt%
  \advance\pgfutil@tempdima by.25\pgflinewidth%
  \pgfutil@tempdimb=7.29\pgfutil@tempdima\advance\pgfutil@tempdimb by.5\pgflinewidth%
  \pgfarrowsleftextend{+-\pgfutil@tempdimb}
  \pgfutil@tempdimb=.5\pgfutil@tempdima\advance\pgfutil@tempdimb by\pgflinewidth%
  \pgfarrowsrightextend{+\pgfutil@tempdimb}
}
{
  \pgfutil@tempdima=0.5pt%
  \advance\pgfutil@tempdima by.25\pgflinewidth%
  \pgfsetdash{}{+0pt}
  \pgfsetmiterjoin
  \pgfsetfillcolor{white}% fill the tip 
  \pgfpathmoveto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpointpolar{150}{9\pgfutil@tempdima}}}
  \pgfpathlineto{\pgfqpoint{0.5\pgfutil@tempdima}{0\pgfutil@tempdima}}
  \pgfpathlineto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpointpolar{-150}{9\pgfutil@tempdima}}}
  \pgfpathclose
  \pgfusepathqfillstroke% instead of  \pgfusepathqstroke
}
\makeatother

\begin{tikzpicture}  [  show background rectangle,show background grid]   
  \node [draw,circle](A){A};
  \node [draw,circle](B) at (3,0){B};
  \draw [<->,>=triangle 60,semithick] (A) to [ out=  90, in=  80](B);
  \draw [<->,>=new open triangle 60,semithick] (A) to [ out=  -90, in=  -80](B);
  \draw [orange,semithick] (A) to [ out=  90, in=  80](B);
  \draw [orange,semithick] (A) to [ out=  -90, in=  -80](B);
\end{tikzpicture}
\begin{tikzpicture}  [  show background rectangle,show background grid]   
  \node [draw,circle](A){A};
  \node [draw,circle](B) at (3,0){B};
  \draw [<->,>=triangle 60,semithick] (A) to [ out=  90, in=  80](B);
  \draw [<->,>=open triangle 60,semithick] (A) to [ out=  -90, in=  -80](B);
  \draw [orange,semithick] (A) to [ out=  90, in=  80](B);
  \draw [orange,semithick] (A) to [ out=  -90, in=  -80](B);
\end{tikzpicture}

\tikzstyle{open}   = [draw, black, fill=white, shape=circle]
\tikzstyle{closed} = [draw,        fill,       shape=circle]

\begin{tikzpicture}[scale=1,node distance=2.5cm,>=open triangle 60,semithick]

 \node[closed] (1)  {};
 \node[open] (m1) [below of=1] {};
 \node[open] (m0) [left of=1] {};

\begin{scope}[on background layer]    
 \fill[fill=green!40]  (m1.45)   to[ out=  45, in=  45,looseness=3]  (m0.45) to (m0.-45) to  (m1.-45) to  (m1.45);
\end{scope}

\begin{scope}[decoration={
    markings,% 
    mark=at position 0.999  with {\arrow[red]{new open triangle 60}}}]
         \draw[->,densely dashed]  (m0) to   (m1);
         \draw[densely dashed,postaction={decorate}]  (m1.45)   to[ out=  45, in=  45, looseness=3]  (m0.45) ;
 \end{scope}

\end{tikzpicture}
\end{document}

Related Solutions

[Tex/LaTex] How to define the default vertical distance between nodes

I don't really get the question so I hope this is what you wanted. If you include a full document (such that we copy paste and see the problem on our systems) things are much more easier.

Here, you can change the default setting within a scope but your block style had a node distance which was resetting every time it is issued. I've made it 2mm such that we can see the difference easier.

\documentclass[tikz]{standalone}
\usetikzlibrary{arrows,shapes.geometric,positioning}

\begin{document}
\begin{tikzpicture}[decision/.style={diamond, draw, text width=4.5em, text badly centered, node distance=3.5cm, inner sep=0pt},
                    block/.style   ={rectangle, draw, text width=6em, text centered, rounded corners, minimum height=4em, minimum height=2em},
                    cloud/.style   ={draw, ellipse, minimum height=2em},
                    line/.style    ={draw,-latex'},
                    node distance = 1cm, 
                    auto]
    \node [block] (1st) {1st};
    \node [block, right= of 1st]  (2nd1) {2nd1};
\begin{scope}[node distance=2mm and 10mm]%Here we change it for everything inside this scope
    \node [block, above= of 2nd1] (2nd2) {2nd2};
    \node [block, below= of 2nd1] (2nd3) {2nd3};
    \node [block, right= of 2nd1] (3rd1) {3rd1};
    \node [block, above= of 3rd1] (3rd2) {3rd2};
    \node [block, above= of 3rd2] (3rd3) {3rd3};
\end{scope}
    \node [block, below= of 3rd1] (3rd4) {3rd4};
    \node [block, below= of 3rd4] (3rd5) {3rd5};

    \path [line] (1st) -- (2nd1);
    \path [line] (2nd1) -- (2nd2);
    \path [line] (2nd1) -- (2nd3);
    \path [line] (2nd2) -- (3rd3);
    \path [line] (2nd1) -- (3rd1);
    \path [line] (1st) -- (2nd1);
\end{tikzpicture}
\end{document}

enter image description here

[Tex/LaTex] Numerical conditional within tikz keys

I am definitely unfamiliar with both beamer and tikz (do not quite get what the \only are supposed to do) but perhaps this could go in the direction you want:

\documentclass{beamer}
\usepackage{tikz}
\usetikzlibrary{chains}
\newcounter{count}

% helper macro:
\long\def\GobToSemiColon #1;{}

\newcommand\myPicture{
\begin{tikzpicture}
  \begin{scope}[start chain = going below]
  \ifnum\value{count}<1 \expandafter\GobToSemiColon\fi
  \ifnum\value{count}>3 \expandafter\GobToSemiColon\fi
  \node[draw, rectangle, on chain] {display only when counter is between
    1 and 3};

  \ifnum\value{count}>-1 \expandafter\GobToSemiColon\fi
  \node[draw, rectangle, on chain] {display only when counter is
    negative}; 

  \ifnum\value{count}<100 \expandafter\GobToSemiColon\fi
  \ifnum\value{count}>200 \expandafter\GobToSemiColon\fi  
  \node[draw, rectangle, on chain] {display only if counter is between
    100 and 200};

  \ifnum\value{count}<3 \expandafter\GobToSemiColon\fi
  \ifnum\value{count}>20 \expandafter\GobToSemiColon\fi
  \node[draw, circle, on chain] {only when counter is in the range 3 to 20};
  \end{scope}
\end{tikzpicture}
}

\begin{document}
\begin{frame}
\only{\setcounter{count}{-3}\myPicture}
\only{\setcounter{count}{105}\myPicture}
\only{\setcounter{count}{39}\myPicture}
\only{\setcounter{count}{2}\myPicture}
\only{\setcounter{count}{5}\myPicture}
\end{frame}
\end{document}

beamer

Best Answer

Related Solutions

[Tex/LaTex] How to define the default vertical distance between nodes

[Tex/LaTex] Numerical conditional within tikz keys

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