DIN conform arrowheads and hatching in TikZ?

Question

I'm curious how the following simple figure can be recreated with all its characteristics, i.e the DIN correct arrow tips and the hatched areas. I'm very aware of various packages for tikz, where you can specify the arrow tips and fillings, but none of them met my requirements yet.

Please note that this is an economic diagram and therefore has just an illustrative function—no real data points. Furthermore the correct DIN norm of the arrowheads is 5mm in length and 1mm in height.

Answer 1

Here a code you can study

\documentclass[11pt,ngerman]{scrartcl}
\usepackage[utf8]{inputenc} 
\usepackage[upright]{fourier}    
\PassOptionsToPackage{dvipsnames,svgnames}{xcolor}  
\usepackage{tikz}
\usetikzlibrary{arrows, calc,intersections,patterns}
\usepackage{babel}       

\tikzset{%
    add/.style args={#1 and #2}{
        to path={%
 ($(\tikztostart)!-#1!(\tikztotarget)$)--($(\tikztotarget)!-#2!(\tikztostart)$)%
  \tikztonodes}}
} 

\color{Maroon}
\tikzset{dot/.style={draw,circle,minimum size=3pt,inner sep=0pt,outer sep=0pt,thick,fill,}} 

\begin{document}
\begin{figure}[htbp]
    \centering  
    \begin{tikzpicture}[>=latex',
      dot/.style={circle,minimum size=3pt,inner sep=0pt,outer sep=0pt,thick,fill}]
    \node[anchor=south west,shift={(-2,-2)}]{\includegraphics[width=15cm]{Paper.png} };
    \draw[thick,->] (0,0)--(12,0) node[below left,align=left]{Umfang des\\ öffentl. Gutes X};
    \draw[thick,->] (0,0)--(0,9) node[below left] {Geld};
    \coordinate[dot,label=below:$O$](O) at (0,0);
    \coordinate[dot,label=left:tp](tp)  at (0,4);
    \coordinate[dot,label=above right:$C$](C) at ([xshift=4 cm]tp);
    \coordinate[dot,label=above right:$G$](G) at ([xshift=8 cm]tp);
    \coordinate[dot,label=above left:$E$](E) at  ([xshift=5.5 cm]tp); 
    \coordinate[label=above right:$D$](D) at  ([yshift=-2 cm]E); 
    \draw (tp)--++(12,0);
    \draw (C) -- (C|-O) node[below] {$X^{A}$} ; 
    \draw (G) -- (G|-O) node[below] {$X^{B}$} ;
    \draw (E) -- (E|-O) node[below] {$X^{(A,B)}$} ;
    \draw[add = .8 and 1]  (D) to (C) node[above left]  {$MZB^A$} ;
    \draw[add = 1.3 and 1.2] (G) to +($(C)-(D)$) coordinate (X) node[above left]  {$MZB^B$};
    \path [name path=DE] (D) -- ([yshift=8 cm]D); 
    \path [name path=GF] (G) -- (X);
    \path [name intersections={of=DE and GF,by={[label=above right:$F$]F}}];
    \draw (D)--(F); 
    \path[pattern=vertical lines,pattern color=Maroon!20] (C)--(D)--(F)--(G)--cycle;    
    \end{tikzpicture}
    \caption{Anpassung des Angebots öffentlicher Güter durch gebietskörperschaftliche Aufgliederung} 
\end{figure}
\end{document}

Answer 2

I used the approach (actually it was nearly the whole solution) contributed by @student and revised the code given by @Altermundus to look exactly like the figure in question.

\documentclass[a4paper]{report}
\usepackage{tikz}
\usepackage{verbatim}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[ngerman]{babel}
\usepackage{subfig}

%-------------------------------------------------------------
%       Call pattern library and declare DIN conform
%       vertical hatchings
%-------------------------------------------------------------
\usetikzlibrary{patterns,calc,intersections,patterns}

\pgfdeclarepatternformonly{dinhatch}{\pgfpointorigin}{\pgfqpoint{1mm}{100pt}}{\pgfqpoint{1mm}{100pt}}% Adjust the second 1mm for your needs
{
  \pgfsetlinewidth{0.4pt}
  \pgfpathmoveto{\pgfqpoint{0.5pt}{0pt}}
  \pgfpathlineto{\pgfqpoint{0.5pt}{100pt}}
  \pgfusepath{stroke}
}
%-------------------------------------------------------------
%       Call arrow library and declare DIN conform arrowheads
%-------------------------------------------------------------
\usetikzlibrary{arrows}

\makeatletter
\pgfarrowsdeclare{dinarr}{dinarr}
{
     \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 by1.6\pgflinewidth%
     \pgfarrowsrightextend{+\pgfutil@tempdimb}
   }
   {
     \pgfutil@tempdima=0.5pt%
     \advance\pgfutil@tempdima by.25\pgflinewidth%
     \pgfsetdash{}{+0pt}
     \pgfsetmiterjoin
     \pgfpathmoveto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpoint{-3mm}{0.5mm}}}
     \pgfpathlineto{\pgfqpoint{0.5\pgfutil@tempdima}{0\pgfutil@tempdima}}
     \pgfpathlineto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpoint{-3mm}{-0.5mm}}}
     \pgfpathclose
     \pgfusepathqfillstroke
   }
\pgfarrowsdeclarereversed{dinarr reversed}{dinarr reversed}{dinarr}{dinarr}
\makeatother
%-------------------------------------------------------------
%       Begin document
%-------------------------------------------------------------
\begin{document}

\tikzset{add/.style args={#1 and #2}{to path={($(\tikztostart)!-#1!(\tikztotarget)$)--($(\tikztotarget)!-#2!(\tikztostart)$)\tikztonodes}}} 
\tikzstyle{LabelStyle}=[above=2pt]
\tikzstyle{state}=[circle,thick,draw=black!75,fill=black!20,minimum size=6mm, text=black]
\tikzset{dot/.style={draw,circle,minimum size=1.4mm,inner sep=0pt,outer sep=0pt,thick,fill}} 
\begin{figure}[!htbp]

    \begin{center}
    \begin{tikzpicture}[font=\footnotesize]
    \draw[-dinarr] (0,0)--(9,0) node[below left,align=left]{Umfang des\\ öffentl. Gutes X};
    \draw[-dinarr] (0,0)--(0,7) node[below left] {Geld};

    \path[pattern=dinhatch,pattern] (3.5,3)--(4.7,1.5)--(4.7,4.9)--(6.2,3)--cycle;  

    \coordinate[dot,label=below:0](O) at (0,0);
    \coordinate[label=left:tp](tp)  at (0,3);
    \coordinate[dot,label=above right:C](C) at (3.5,3);
    \coordinate[dot,label=above right:G](G) at (6.2,3);
    \coordinate[label=above left:E](E) at  (4.7,3); 
    \coordinate[label=above right:D](D) at  (4.7,1.5); 
    \coordinate[label=above right:F](F) at  (4.7,4.9);
    \draw (tp)-- (9,3);
    \draw (C) -- (C|-O) node[below] {$\mathrm{X^{A}}$} ; 
    \draw (G) -- (G|-O) node[below] {$\mathrm{X^{B}}$} ;
    \draw (E) -- (E|-O) node[below] {$\mathrm{X^{(A,B)}}$} ;
    \draw[add = .8 and 1,line width=.45mm]  (D) to (C) node[above]  {$\mathrm{MZB^A}$} ;
    \draw[add = 1.3 and 1.2,line width=.45mm] (G) to +($(C)-(D)$) coordinate (X) node[above]  {$\mathrm{MZB^B}$};

    \draw (D)--(F); 

    \end{tikzpicture}

    \textit{Abbildung 26.1: Anpassung des Angebots öffentlicher Güter durch gebietskörperschaftliche Aufgliederung}

    \end{center}
\end{figure}
\end{document}

What yields following figure:

Answer 3

Not an answer but to long for a comment. For the filling you could try to declare a custom pattern like this (I adjusted the code from the vertical lines pattern from pgflibrarypatterns.code.tex)

\documentclass{article}
\usepackage{tikz}

\usetikzlibrary{patterns}

\pgfdeclarepatternformonly{myvertical lines}{\pgfpointorigin}{\pgfqpoint{1mm}{100pt}}{\pgfqpoint{1mm}{100pt}}% Adjust the second 1mm for your needs
{
  \pgfsetlinewidth{0.4pt} %Adjust this for the line thickness
  \pgfpathmoveto{\pgfqpoint{0.5pt}{0pt}}
  \pgfpathlineto{\pgfqpoint{0.5pt}{100pt}}
  \pgfusepath{stroke}
}


\begin{document}

\begin{tikzpicture}
  \filldraw[pattern=myvertical lines] (0,0) -- (5,0) -- (0,2) -- cycle;
\end{tikzpicture}
\end{document}

Edit:

Here is a suggestion for the arrow tips (modified code from here: http://www.latex-community.org/forum/viewtopic.php?f=45&t=16399):

\documentclass{minimal}
\usepackage{tikz}
\usetikzlibrary{arrows}

\makeatletter
    \pgfarrowsdeclare{DIN}{DIN}
    {
      \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 by1.6\pgflinewidth%
      \pgfarrowsrightextend{+\pgfutil@tempdimb}
    }
    {
      \pgfutil@tempdima=0.5pt%
      \advance\pgfutil@tempdima by.25\pgflinewidth%
      \pgfsetdash{}{+0pt}
      \pgfsetmiterjoin
      \pgfpathmoveto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpoint{-4mm}{0.5mm}}}
      \pgfpathlineto{\pgfqpoint{0.5\pgfutil@tempdima}{0\pgfutil@tempdima}}
      \pgfpathlineto{\pgfpointadd{\pgfqpoint{0.5\pgfutil@tempdima}{0pt}}{\pgfqpoint{-4mm}{-0.5mm}}}
      \pgfpathclose
      \pgfusepathqfillstroke
    }
    \pgfarrowsdeclarereversed{DIN reversed}{DIN reversed}{DIN}{DIN}
    \makeatother

    \begin{document}
      \begin{tikzpicture}
        \draw[DIN-] (0,0.5) -- (2,0.5);
      \end{tikzpicture}
\end{document}