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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -*- Mode: Latex -*- %%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Boltzmann.tex --- Networks at 15 and 19 speeds for the simulation of
%% Navier-Stokes equations by the Boltzmann Method on network
%% (description and specification given by Laurent Giraud
%% <lgiraud@mema.ucl.ac.be>)
%%
%% Author : Denis GIROU (CNRS/IDRIS - France) <Denis.Girou@idris.fr>
%% Created the : Fri May 9 18:12:44 1997
%% Last mod. by : Denis GIROU (CNRS/IDRIS - France) <Denis.Girou@idris.fr>
%% Last mod. the : Mon Mar 9 11:57:51 1998
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass{article}
\usepackage{pstricks} % PSTricks with the `color' extension
\usepackage{pst-node} % PSTricks package for nodes
\usepackage{pst-3d} % PSTricks package for 3d graphics
\usepackage{multido} % `multido' package
\usepackage{lscape} % From CTAN/macros/latex/packages/graphics
% Definition of new colors
\definecolor{LightBlue}{rgb}{0.68,0.85,0.9}
% The node
\newcommand{\MyNode}[1][LightBlue]{{%
\psset{unit=0.15}
\begin{pspicture}(-0.5,-0.5)(0.5,0.5)
\pscircle*[linecolor=#1]{0.5}
\pscircle*[linecolor=white](0.15,0.15){0.2}
\end{pspicture}}}
\newpsobject{MyGrid}{psframe}{linestyle=dotted,dotsep=5pt}
% The cube
\newcommand{\MyCube}[1][LightBlue]{%
\begin{pspicture}(-0.05,-0.35)(2.85,2.45)
\multido{\i=0+1}{3}{%
\ThreeDput[normal=1 0 0](\i,0,0){%
\ifnum\i=1
\else
\MyGrid(2,2)
\fi
% Definitions of all nodes to do connections later
\ifnum\i=0
\pnode(0,0){NodeAAA}
\pnode(1,0){NodeABA}
\pnode(2,0){NodeACA}
\pnode(0,1){NodeBAA}
\pnode(1,1){NodeBBA}
\pnode(2,1){NodeBCA}
\pnode(0,2){NodeCAA}
\pnode(1,2){NodeCBA}
\pnode(2,2){NodeCCA}
\fi
\ifnum\i=1
\pnode(0,0){NodeAAB}
\pnode(1,0){NodeABB}
\pnode(2,0){NodeACB}
\pnode(0,1){NodeBAB}
\pnode(1,1){NodeBBB}
\pnode(2,1){NodeBCB}
\pnode(0,2){NodeCAB}
\pnode(1,2){NodeCBB}
\pnode(2,2){NodeCCB}
\fi
\ifnum\i=2
\pnode(0,0){NodeAAC}
\pnode(1,0){NodeABC}
\pnode(2,0){NodeACC}
\pnode(0,1){NodeBAC}
\pnode(1,1){NodeBBC}
\pnode(2,1){NodeBCC}
\pnode(0,2){NodeCAC}
\pnode(1,2){NodeCBC}
\pnode(2,2){NodeCCC}
\fi}
\ThreeDput[normal=0 -1 0](0,\i,0){
\ifnum\i=1
\else
\MyGrid(2,2)
\fi
% We must draw all the nodes in the same \ThreeDput to have
% the same projection for all nodes...
\multirput(0,0)(0,1){3}{\MyNode[#1]}
\multirput(1,0)(0,1){3}{\MyNode[#1]}
\multirput(2,0)(0,1){3}{\MyNode[#1]}}
\ifnum\i=1
\else
\ThreeDput[normal=0 0 1](0,0,\i){\MyGrid(2,2)}
\fi}
\end{pspicture}}
% Main connections
\newcommand{\MainConnections}{{%
\psset{linewidth=0.8mm}
\ncline{NodeBBA}{NodeBBC}
\ncline{NodeABB}{NodeCBB}
\ncline{NodeBAB}{NodeBCB}}}
% First cube
\newcommand{\MyCubeA}[1][LightBlue]{{%
\MyCube[#1]
% Connections
\psset{arrows=<->,arrowsize=4pt 3,arrowinset=0}
\MainConnections
\psset{linecolor=red}
\ncline{NodeAAA}{NodeCCC}
\ncline{NodeAAC}{NodeCCA}
\ncline{NodeCAA}{NodeACC}
\ncline{NodeACA}{NodeCAC}}}
% Second cube
\newcommand{\MyCubeB}[1][LightBlue]{{%
\MyCube[#1]
% Connections
\psset{arrows=<->,arrowsize=4pt 3,arrowinset=0}
\MainConnections
\psset{linecolor=red}
\ncline{NodeABA}{NodeCBC}
\ncline{NodeAAB}{NodeCCB}
\ncline{NodeABC}{NodeCBA}
\ncline{NodeACB}{NodeCAB}
\ncline{NodeBCA}{NodeBAC}
\ncline{NodeBAA}{NodeBCC}}}
\pagestyle{empty}
\begin{document}
\psset{unit=3,viewpoint=0.8 -1.4 0.4}
\begin{landscape}
\begin{figure}[htbp]
\centering
\MyCubeA \hfill \MyCubeB
\caption{Networks at 15 and 19 speeds for the simulation of
\texttt{Navier-Stokes} equations by the \texttt{Boltzmann} Method on
network.}
\end{figure}
\end{landscape}
\end{document}
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