%% 
%%  Ein Beispiel der DANTE-Edition
%%  
%%  7. Auflage
%% 
%%  Beispiel 22-01-19 auf Seite 364.
%% 
%%  Copyright (C) 2016 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%% 
%%  See http://www.latex-project.org/lppl.txt for details.
%% 
%% 
%% ==== 
% Show page(s) 1
%% 
%% 
\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{193.16928pt}
\setlength\parindent{0pt}
\usepackage{pst-3d}
\makeatletter
\def\xyEbene#1{%
  \ThreeDput[normal=0 0 1](0,0,0){% xy-Ebene
    \psgrid(0,0)(#1,#1)%
    \psline{->}(0,0)(0,#1) \psline{->}(0,0)(#1,0)
    \ifdim\psk@gridlabels pt>\z@
      \uput[180]{0.2}(0,#1){$y$} \uput[-90]{0.2}(#1,0){$x$}%
    \fi
  }}
\def\xzEbene#1{%
  \ThreeDput[normal=0 -1 0](0,0,0){% xz-Ebene
    \psgrid(0,0)(#1,#1)%
    \psline{->}(0,0)(0,5) \psline{->}(0,0)(#1,0)
    \ifdim\psk@gridlabels pt>\z@
      \uput[180]{0.2}(0,#1){$z$} \uput[-90]{0.2}(#1,0){$x$}%
    \fi
  }}
\def\yzEbene#1{%
  \ThreeDput[normal=1 0 0](0,0,0){% yz-Ebene
    \psgrid(0,0)(#1,#1)%
    \psline{->}(0,0)(0,#1) \psline{->}(0,0)(#1,0)
    \ifdim\psk@gridlabels pt>\z@
      \uput[180]{0.2}(0,#1){$z$} \uput[-90]{0.2}(#1,0){$y$}%
    \fi
}}
%
\def\DreiDKOSystem{\@ifnextchar[{\DreiDKOSystem@i}{\DreiDKOSystem@i[]}}
\def\DreiDKOSystem@i[#1]#2{{%
  \psset{#1}%
  \xyEbene{#2}\xzEbene{#2}\yzEbene{#2}}}
\makeatother
%StartShownPreambleCommands
\usepackage{pst-3d,multido}
%StopShownPreambleCommands
\begin{document}
\begin{pspicture}(-4.5,-3)(3,4.75)
\psset{viewpoint=1 1.5 0.8}
\DreiDKOSystem[gridlabels=0pt,subgriddiv=0,gridcolor=black!50]{5}
\ThreeDput[normal=0 0 1]{% xy-Ebene
    \psline[linewidth=3pt,linecolor=blue]{->}(4,4)(4,5.5)
    \uput[90](4,5.5){\psrotateleft{\textcolor{blue}{$\vec{n}_A$}}}}
\ThreeDput[normal=0 -1 0]{%  xz-Ebene
    \psline[linewidth=3pt,linecolor=green]{->}(4,0)(5.5,0)
    \uput[90](5.5,0){\psscalebox{-1 1}{\textcolor{green}{$\vec{n}_B$}}}}
\ThreeDput[normal=1 0 0]{%  yz-Ebene
    \psline[linewidth=3pt,linecolor=red]{->}(0,4)(0,5.5)
    \uput[0](0,5.5){$\vec{n}_{oben}$}} % Würfel und Achsen
\ThreeDput[normal=0 0 1](0,0,4){\psframe*[linecolor=gray!25](4,4)
    \rput(2,2){\Huge\textbf{OBEN}}}
\ThreeDput[normal=0 1 0](4,4,0){\psframe*[linecolor=gray!5](4,4)
    \rput(2,2){\Huge\textbf{Seite A}}}
\ThreeDput[normal=1 0 0](4,0,0){\psframe*[linecolor=gray!15](4,4)
    \rput(2,2){\Huge\textbf{Seite B}}}
% Die kleinen Achsen
\ThreeDput[normal=0 0 1](0,0,4){\psline(4,0)\uput[90](3,0){X$_{oben}$}
    \psline(0,4)\uput[0](0,3){Y$_{oben}$}}
\ThreeDput[normal=0 1 0](4,4,0){\psline(4,0)\uput[90](3,0){X$_{A}$}
    \psline(0,4)\uput[0](0,3){Y$_{A}$}}
\ThreeDput[normal=1 0 0](4,0,0){\psline(4,0)\uput[90](3,0){X$_{B}$}
    \psline(0,4)\uput[0](0,3){Y$_{B}$}}
\end{pspicture}
\end{document}
