new (and special install) pstricks package pst-cox (24feb08)

git-svn-id: svn://tug.org/texlive/trunk@6759 c570f23f-e606-0410-a88d-b1316a301751

17 files changed, 89252 insertions, 1 deletions

diff --git a/Master/texmf-dist/doc/generic/pst-cox/README b/Master/texmf-dist/doc/generic/pst-cox/README
new file mode 100644
index 00000000000..f7622032c22
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-cox/README
@@ -0,0 +1,54 @@
+PST-Cox v1.0
+------------------------
+This project contains two LaTeX packages for drawing regular complex  polytopes:
+	- pst-coxcoor:  pre-calculated regular polytopes up to dimension 4.
+	- pst-coxeterp: infinite series of regular complex regular polytopes.
+
+See for more information the files pst-coxcoor_doc.ps and pst-coxeterp_doc.ps of the package.
+
+First check whether the project can be installed by the distribution that you use. The packages need PSTrick and xkeyval of Hendri Adriaens.
+
+The structure and location in the Tex-tree is shown below.
+
+README.txt: should be not installed
+
+
+|                      - pst-coxeterp_doc.ps
+|     --- pst-coxeterp-|
+|-doc-|                - Gallery_doc.ps
+|     |
+|     |               - pst-coxcoor_doc.ps
+|     --- pst-coxcoor-|
+|                     - Gallery.ps
+|
+|
+|-dvips-[-- pst-coxcoor-[ pst-coxeter.pro
+|
+|
+|             --- pst-coxeterp-[ pst-coxeterp.sty
+|             |
+|     |-latex-|
+|     |       |
+|     |       --- pst-coxcoor-[ pst-coxcoor.sty
+|-tex-|
+|     |         --- pst-coxeterp-[ pst_coxeterp.tex
+|     |         |
+|     |-generic-|
+|     |         |
+|     |         --- pst-coxcoor-[ pst-coxcoor.tex
+
+Don't forget to update your filename database after installing the
+files.
+
+Contact informations
+Jean-Gabriel Luque
+Institut Gaspard Monge
+Université Paris-Est 
+77454 Marne-la-Vallée Cedex 2
+Jean-Gabriel.Luque@univ-mlv.fr
+or 
+Jean-Gabriel.Luque@wanadoo.fr
+
+License
+Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+This work may be distributed and/or modified  under the condition of the Lesser GPL.
diff --git a/Master/texmf-dist/doc/generic/pst-cox/gpl.txt b/Master/texmf-dist/doc/generic/pst-cox/gpl.txt
new file mode 100644
index 00000000000..94a9ed024d3
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-cox/gpl.txt
@@ -0,0 +1,674 @@
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+
+  If conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License.  If you cannot convey a
+covered work so as to satisfy simultaneously your obligations under this
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+not convey it at all.  For example, if you agree to terms that obligate you
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+the Program, the only way you could satisfy both those terms and this
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+
+  13. Use with the GNU Affero General Public License.
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+  Notwithstanding any other provision of this License, you have
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+under version 3 of the GNU Affero General Public License into a single
+combined work, and to convey the resulting work.  The terms of this
+License will continue to apply to the part which is the covered work,
+but the special requirements of the GNU Affero General Public License,
+section 13, concerning interaction through a network will apply to the
+combination as such.
+
+  14. Revised Versions of this License.
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+
+  Each version is given a distinguishing version number.  If the
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+
+  If the Program specifies that a proxy can decide which future
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+  Later license versions may give you additional or different
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+  15. Disclaimer of Warranty.
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+  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
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+  17. Interpretation of Sections 15 and 16.
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+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
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+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
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+    Copyright (C) <year>  <name of author>
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+    This program is free software: you can redistribute it and/or modify
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+    This program is distributed in the hope that it will be useful,
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+Also add information on how to contact you by electronic and paper mail.
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+    This is free software, and you are welcome to redistribute it
+    under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
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+might be different; for a GUI interface, you would use an "about box".
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+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+<http://www.gnu.org/licenses/>.
+
+  The GNU General Public License does not permit incorporating your program
+into proprietary programs.  If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.  But first, please read
+<http://www.gnu.org/philosophy/why-not-lgpl.html>.
diff --git a/Master/texmf-dist/doc/generic/pst-cox/lgpl.txt b/Master/texmf-dist/doc/generic/pst-cox/lgpl.txt
new file mode 100644
index 00000000000..fc8a5de7edf
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-cox/lgpl.txt
@@ -0,0 +1,165 @@
+		   GNU LESSER GENERAL PUBLIC LICENSE
+                       Version 3, 29 June 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+
+  This version of the GNU Lesser General Public License incorporates
+the terms and conditions of version 3 of the GNU General Public
+License, supplemented by the additional permissions listed below.
+
+  0. Additional Definitions. 
+
+  As used herein, "this License" refers to version 3 of the GNU Lesser
+General Public License, and the "GNU GPL" refers to version 3 of the GNU
+General Public License.
+
+  "The Library" refers to a covered work governed by this License,
+other than an Application or a Combined Work as defined below.
+
+  An "Application" is any work that makes use of an interface provided
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+   b) under the GNU GPL, with none of the additional permissions of
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+  3. Object Code Incorporating Material from Library Header Files.
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+  The object code form of an Application may incorporate material from
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+   a) Give prominent notice with each copy of the object code that the
+   Library is used in it and that the Library and its use are
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+  You may convey a Combined Work under terms of your choice that,
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+   you use option 4d0, the Installation Information must accompany
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+  5. Combined Libraries.
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+  You may place library facilities that are a work based on the
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+
+   a) Accompany the combined library with a copy of the same work based
+   on the Library, uncombined with any other library facilities,
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+   b) Give prominent notice with the combined library that part of it
+   is a work based on the Library, and explaining where to find the
+   accompanying uncombined form of the same work.
+
+  6. Revised Versions of the GNU Lesser General Public License.
+
+  The Free Software Foundation may publish revised and/or new versions
+of the GNU Lesser General Public License from time to time. Such new
+versions will be similar in spirit to the present version, but may
+differ in detail to address new problems or concerns.
+
+  Each version is given a distinguishing version number. If the
+Library as you received it specifies that a certain numbered version
+of the GNU Lesser General Public License "or any later version"
+applies to it, you have the option of following the terms and
+conditions either of that published version or of any later version
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+received it does not specify a version number of the GNU Lesser
+General Public License, you may choose any version of the GNU Lesser
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+
+  If the Library as you received it specifies that a proxy can decide
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+Library.
diff --git a/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/Gallery.tex b/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/Gallery.tex
new file mode 100644
index 00000000000..03b334e9855
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/Gallery.tex
@@ -0,0 +1,1573 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    polygonesCoordinate\Gallery.tex
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      Demonstration of the library pst-coxcoor
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.%
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.%
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%
+
+\documentclass[a4paper]{article}
+\usepackage[latin1]{inputenc}%
+\usepackage[margin=2cm]{geometry}
+\usepackage{pst-coxcoor}
+\usepackage{multido}
+\usepackage{graphics}
+\newcount\ChoicePolytope
+
+\def\Titre#1{
+\ifcase\ichoice\or  \def\polname{$2\{3\}3$}\def\ep{0.5mm}
+ \or \def\polname{$3\{3\}2$}\def\ep{0.3mm}\or
+\def\polname{$3\{3\}3$}\def\ep{0.3mm}\or
+ \def\polname{$3\{4\}2$}\def\ep{0.3mm}\or \def\polname{$3\{4\}4$}\def\ep{0.1mm}
+ \or \def\polname{$3\{4\}3$}\def\ep{0.1mm}\or \def\polname{$4\{3\}4$}\def\ep{0.1mm}\or
+\def\polname{$2\{4\}3\{3\}3$}\def\ep{0.1mm}\or \def\polname{ Hessien}\def\ep{0.1mm}
+ \or  \def\polname{$3\{3\}3\{4\}2$}\def\ep{0.1mm}
+ \or \def\polname{de Witting} \def\ep{0.01mm} \or
+ \def\polname{$3\{8\}2$} \def\ep{0.1mm} \or
+ \def\polname{$2\{8\}3$} \def\ep{0.1mm}  \or
+  \def\polname{$3\{5\}3$} \def\ep{0.1mm}
+ \or\def\polname{$4\{4\}3$} \def\ep{0.1mm}
+ \or\def\polname{$4\{3\}2$} \def\ep{0.1mm}
+ \or\def\polname{$2\{3\}4$} \def\ep{0.1mm}
+ \or\def\polname{$2\{6\}4$} \def\ep{0.1mm}
+ \or\def\polname{$4\{6\}2$} \def\ep{0.1mm}
+  \or\def\polname{$5\{3\}5$} \def\ep{0.1mm}
+  \or\def\polname{$2\{10\}3$} \def\ep{0.1mm}
+  \or\def\polname{$3\{10\}2$} \def\ep{0.1mm}
+  \or\def\polname{$2\{5\}3$} \def\ep{0.1mm}
+  \or\def\polname{$3\{5\}2$} \def\ep{0.1mm}
+  \or\def\polname{$2\{4\}3$} \def\ep{0.1mm}
+  \or\def\polname{$2\{3\}2\{4\}3$} \def\ep{0.1mm}
+   \or\def\polname{$3\{4\}2\{3\}2$} \def\ep{0.1mm}
+   \or\def\polname{$3\{4\}2\{3\}2\{3\}2$} \def\ep{0.1mm}
+   \or\def\polname{$2\{3\}2\{3\}2\{4\}3$} \def\ep{0.1mm}
+   \or\def\polname{$2\{3\}2\{5\}2$} \def\ep{0.1mm}
+   \or\def\polname{$2\{5\}2\{3\}2$} \def\ep{0.1mm}
+   \or\def\polname{$2\{3\}2\{3\}2\{4\}2$} \def\ep{0.1mm}
+      \or\def\polname{$2\{4\}2\{3\}2\{3\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{3\}2\{4\}2\{3\}2$} \def\ep{0.1mm}
+              \or\def\polname{$2\{3\}2\{3\}2\{5\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{5\}2\{3\}2\{2\}2$} \def\ep{0.1mm}
+       \or\def\polname{$3\left\{5\over2\right\}3$} \def\ep{0.1mm}
+       \or\def\polname{$5\left\{5\over2\right\}5$} \def\ep{0.1mm}
+       \or\def\polname{$2\left\{5\over2\right\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\left\{5\over2\right\}2$} \def\ep{0.1mm}
+       \or\def\polname{$3\left\{10\over3\right\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\left\{10\over3\right\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\left\{8\over3\right\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\left\{8\over3\right\}3$} \def\ep{0.1mm}
+       \or\def\polname{$5\{6\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{6\}5$} \def\ep{0.1mm}
+       \or\def\polname{$4\left\{8\over3\right\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\left\{8\over3\right\}4$} \def\ep{0.1mm}
+       \or\def\polname{$5\{5\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{5\}5$} \def\ep{0.1mm}
+       \or\def\polname{$5\left\{10\over3\right\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\left\{10\over3\right\}5$} \def\ep{0.1mm}
+       \or\def\polname{$5\{3\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{3\}5$} \def\ep{0.1mm}
+       \or\def\polname{$5\{4\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{4\}5$} \def\ep{0.1mm}
+       \or\def\polname{$5\left\{10\over3\right\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\left\{10\over3\right\}5$} \def\ep{0.1mm}
+       \or\def\polname{$5\{4\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\{4\}5$} \def\ep{0.1mm}
+       \or\def\polname{$5\{3\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\{3\}5$} \def\ep{0.1mm}
+       \or\def\polname{$5\left\{5\over2\right\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\left\{5\over2\right\}5$} \def\ep{0.1mm}
+       \or\def\polname{$2\left\{5\over2\right\}2\{3\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{3\}2\left\{5\over 2\right\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\left\{5\over2\right\}2\{5\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{5\}2\left\{5\over 2\right\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{6\}3$} \def\ep{0.1mm}
+       \or\def\polname{$3\{6\}2$} \def\ep{0.1mm}
+       \or\def\polname{$2\{\frac52\}2\{3\}2\{3\}2$} \def\ep{0.1mm}
+   \fi
+   {\Huge Polytope \polname}
+}
+\def\demoPolytopes#1{%}
+\begin{center}
+\Titre{#1}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=#1,linewidth=\ep] % par défaut choice=1 (332)
+\end{pspicture}
+
+$\backslash$\texttt{CoxeterCoordinates[choice=#1]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=#1]}
+&
+\texttt{[drawcenters=false,choice=#1]}
+&
+\texttt{[drawedges=false,choice=#1]}
+\end{tabular}
+\end{center}}
+
+\def\demoPolytopesGrand#1{%}
+\begin{center}
+\Titre{#1}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=#1,linewidth=\ep] % par défaut choice=1 (332)
+\end{pspicture}
+
+$\backslash$\texttt{CoxeterCoordinates[choice=#1]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=2cm}
+\CoxeterCoordinates[drawvertices=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=2cm}
+\CoxeterCoordinates[drawcenters=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=2cm}
+\CoxeterCoordinates[drawedges=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=#1]} &
+\texttt{[drawcenters=false,choice=#1]} &
+\texttt{[drawedges=false,choice=#1]}
+\end{tabular}
+\end{center}}
+
+%
+\def\demoPolytopesPetit#1{%}
+\begin{center}
+\Titre{#1}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=#1,linewidth=\ep] % par défaut choice=1 (332)
+\end{pspicture}
+
+$\backslash$\texttt{CoxeterCoordinates[choice=#1]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawvertices=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawcenters=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawedges=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=#1]} &
+\texttt{[drawcenters=false,choice=#1]} &
+\texttt{[drawedges=false,choice=#1]}
+\end{tabular}
+\end{center}}
+
+\title{The Gallery}
+\author{Jean-Gabriel \textsc{Luque}\footnote{Jean-Gabriel.Luque@univ-mlv.fr} and Manuel
+ \textsc{Luque}\footnote{mluque5130@aol.com}}
+\begin{document}
+\maketitle\newpage
+\section{Les polygons (dimension 2)}
+\multido{\ichoice=1+1}{7}{%
+\demoPolytopes{\ichoice}\newpage}
+\begin{center}
+{\huge Polytope $3\{8\}2$}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=12,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=12]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawvertices=false,choice=12,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawcenters=false,choice=12,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawedges=false,choice=12,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=12]} &
+\texttt{[drawcenters=false,choice=12]} &
+\texttt{[drawedges=false,choice=12]}
+\end{tabular}
+\end{center}\newpage
+
+\begin{center}
+{\huge Polytope $2\{8\}3$}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=13,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=13]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawvertices=false,choice=13,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawcenters=false,choice=13,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawedges=false,choice=13,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=13]} &
+\texttt{[drawcenters=false,choice=13]} &
+\texttt{[drawedges=false,choice=13]}
+\end{tabular}
+\end{center}\newpage
+
+
+\multido{\ichoice=14+1}{11}{%
+\demoPolytopes{\ichoice}\newpage}
+
+\begin{center}
+{\huge Polytope $2\{5\}3$}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=23,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=23]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawvertices=false,choice=23,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawcenters=false,choice=23,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawedges=false,choice=23,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=23]}
+&
+\texttt{[drawcenters=false,choice=23]}
+&
+\texttt{[drawedges=false,choice=23]}
+\end{tabular}
+\end{center}
+
+\newpage
+\multido{\ichoice=24+1}{2}{%
+\demoPolytopes{\ichoice}\newpage} %%%%%%
+  %ù%%%%%%
+\begin{center}
+  {\huge Polytope $3\{\frac 52\}3$}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=37,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=37]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawvertices=false,choice=37,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawcenters=false,choice=37,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawedges=false,choice=37,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=37]} &
+\texttt{[drawcenters=false,choice=37]} &
+\texttt{[drawedges=false,choice=37]}
+\end{tabular}
+\end{center}
+%%%%%
+\newpage
+
+\multido{\ichoice=38+1}{13}{%
+\demoPolytopes{\ichoice}
+\newpage}
+\multido{\ichoice=51+1}{3}{
+\begin{center}
+\Titre{\ichoice}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=\ichoice,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=\ichoice]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=\ichoice]} &
+\texttt{[drawcenters=false,choice=\ichoice]} &
+\texttt{[drawedges=false,choice=\ichoice]}
+\end{tabular}
+\end{center}
+\newpage
+}
+\begin{center}
+ \multido{\ichoice=54+1}{1}{
+\Titre{\ichoice}}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=54,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$
+\texttt{CoxeterCoordinates[choice=54]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawvertices=false,choice=54,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawcenters=false,choice=54,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawedges=false,choice=54,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=54]} &
+\texttt{[drawcenters=false,choice=54]} &
+\texttt{[drawedges=false,choice=54]}
+\end{tabular}
+\end{center}
+\newpage
+\multido{\ichoice=55+1}{5}{%
+\demoPolytopes{\ichoice}
+\newpage}
+\multido{\ichoice=60+1}{1}{
+\begin{center}
+\Titre{\ichoice}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=\ichoice,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=\ichoice]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawvertices=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawcenters=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawedges=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=\ichoice]} &
+\texttt{[drawcenters=false,choice=\ichoice]} &
+\texttt{[drawedges=false,choice=\ichoice]}
+\end{tabular}
+\end{center}
+\newpage}
+\multido{\ichoice=61+1}{3}{
+\begin{center}
+\Titre{\ichoice}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=\ichoice,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=\ichoice]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawvertices=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawcenters=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawedges=false,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=\ichoice]} &
+\texttt{[drawcenters=false,choice=\ichoice]} &
+\texttt{[drawedges=false,choice=\ichoice]}
+\end{tabular}
+\end{center}
+\newpage
+}
+\begin{center}
+ \multido{\ichoice=64+1}{1}{
+\Titre{\ichoice}}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=64,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$ \texttt{CoxeterCoordinates[choice=64]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawvertices=false,choice=64,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawcenters=false,choice=64,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawedges=false,choice=64,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=64]} &
+\texttt{[drawcenters=false,choice=64]} &
+\texttt{[drawedges=false,choice=64]}
+\end{tabular}
+\end{center}
+\newpage
+
+\section{Polyhedron (dimension 3)}
+\multido{\ichoice=8+1}{3}{%
+\demoPolytopes{\ichoice} \begin{center}
+\begin{pspicture}(-2,-5)(2,5)
+\psset{unit=2}
+\CoxeterCoordinates[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+\end{pspicture}
+{\tt
+[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+}
+\end{center}
+\newpage}
+\multido{\ichoice=26+1}{2}{%
+\demoPolytopes{\ichoice} \begin{center}
+\begin{pspicture}(-2,-5)(2,5)
+\psset{unit=2}
+\CoxeterCoordinates[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+\end{pspicture}
+{\tt
+[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+}
+\end{center}
+\newpage}
+
+\multido{\ichoice=30+1}{2}{%
+\demoPolytopes{\ichoice} \begin{center}
+\begin{pspicture}(-2,-5)(2,5)
+\psset{unit=2}
+\CoxeterCoordinates[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+\end{pspicture}
+{\tt
+[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+}
+\end{center}
+\newpage}
+\multido{\ichoice=65+1}{4}{%
+\demoPolytopesGrand{\ichoice} \begin{center}
+\begin{pspicture}(-2,-5)(2,5)
+\psset{unit=3}
+\CoxeterCoordinates[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+\end{pspicture}
+{\tt
+[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.3mm]
+}
+\end{center}
+\newpage}
+
+\section{Polytopes (dimension $4$)}
+
+\begin{center}
+{\Huge Witting polytope}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=11,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=11]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=11,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=11,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=11,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=11]} &
+\texttt{[drawcenters=false,choice=11]} &
+\texttt{[drawedges=false,choice=11]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.4cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=11,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=11]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.4cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=11,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=11]}
+\end{center}\newpage
+\begin{center}
+{\huge Polytope $3\{4\}2\{3\}2\{3\}2$}
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=28,linewidth=0.1mm] % par défaut choice=1 (332)
+\end{pspicture}
+
+$\backslash$\texttt{CoxeterCoordinates[choice=28]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawvertices=false,choice=28,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawcenters=false,choice=28,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm}
+\CoxeterCoordinates[drawedges=false,choice=28,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=28]}
+&
+\texttt{[drawcenters=false,choice=28]}
+&
+\texttt{[drawedges=false,choice=28]}
+\end{tabular}
+\end{center}
+\newpage
+\multido{\ichoice=29+1}{1}{%
+\demoPolytopes{\ichoice}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.4cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=\ichoice]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.4cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=\ichoice]}
+\end{center}\newpage}
+
+\multido{\ichoice=32+1}{3}{%
+\demoPolytopes{\ichoice}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.4cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=\ichoice]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.4cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=\ichoice,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=\ichoice]}
+\end{center}\newpage}
+\begin{center}
+{\Huge Le $600$-topes}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=35,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=35]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawvertices=false,choice=35,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawcenters=false,choice=35,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawedges=false,choice=35,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=35]} &
+\texttt{[drawcenters=false,choice=35]} &
+\texttt{[drawedges=false,choice=35]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=35,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=35]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=35,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=35]}
+\end{center}\newpage
+
+\begin{center}
+{\Huge The $120$-topes}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=36,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=36]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawvertices=false,choice=36,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawcenters=false,choice=36,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawedges=false,choice=36,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=36]} &
+\texttt{[drawcenters=false,choice=36]} &
+\texttt{[drawedges=false,choice=36]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=36,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=36]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=36,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=36]}
+\end{center}\newpage
+
+%\multido{\ichoice=71+1}{1}{%
+%\demoPolytopesPetit{\ichoice} \begin{center}
+%\begin{pspicture}(-2,-5)(2,5)
+%\psset{unit=0.5}
+%\CoxeterCoordinates[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.1mm]
+%\end{pspicture}
+%{\tt
+%[drawvertices=false,drawcentersfaces=true,drawcenters=false,choice=\ichoice,linewidth=0.1mm]
+%}
+%\end{center}
+%\newpage}
+\begin{center}
+{\Huge The great starry $600$-topes}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=0.9cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=71,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=71]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawvertices=false,choice=71,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawcenters=false,choice=71,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.2cm}
+\CoxeterCoordinates[drawedges=false,choice=71,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=71]} &
+\texttt{[drawcenters=false,choice=71]} &
+\texttt{[drawedges=false,choice=71]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=71,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=71]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=71,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=71]}
+\end{center}\newpage
+%
+%
+\begin{center}
+{\Huge The great starry $120$-topes}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=72,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=72]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawvertices=false,choice=72,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawcenters=false,choice=72,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawedges=false,choice=72,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=72]} &
+\texttt{[drawcenters=false,choice=72]} &
+\texttt{[drawedges=false,choice=72]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=72,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=72]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=10cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=72,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=72]}
+\end{center}\newpage
+%
+%
+%
+\begin{center}
+{\Huge $2\{3\}2\{\frac52\}2\{5\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=73,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=73]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawvertices=false,choice=73,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawcenters=false,choice=73,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm}
+\CoxeterCoordinates[drawedges=false,choice=73,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=73]} &
+\texttt{[drawcenters=false,choice=73]} &
+\texttt{[drawedges=false,choice=73]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=73,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=73]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=73,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=73]}
+\end{center}\newpage
+%
+%
+%
+\begin{center}
+{\Huge $2\{3\}2\{5\}2\{\frac52\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=74,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=74]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawvertices=false,choice=74,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawcenters=false,choice=74,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm}
+\CoxeterCoordinates[drawedges=false,choice=74,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=74]} &
+\texttt{[drawcenters=false,choice=74]} &
+\texttt{[drawedges=false,choice=74]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=3cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=74,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=74]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=3cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=74,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=74]}
+\end{center}\newpage
+%
+%
+\begin{center}
+{\Huge $2\{\frac52\}2\{3\}2\{5\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=75,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=75]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=75,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=75,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=75,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=75]} &
+\texttt{[drawcenters=false,choice=75]} &
+\texttt{[drawedges=false,choice=75]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2.5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=75,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=75]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=3cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=75,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=75]}
+\end{center}\newpage
+%
+%
+\begin{center}
+{\Huge $2\{\frac52\}2\{5\}2\{3\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=76,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=76]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=76,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=76,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=76,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=76]} &
+\texttt{[drawcenters=false,choice=76]} &
+\texttt{[drawedges=false,choice=76]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2.5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=76,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=76]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=3cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=76,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=76]}
+\end{center}\newpage
+%
+\begin{center}
+{\Huge $2\{5\}2\{3\}2\{\frac52\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=77,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=77]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=77,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=77,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=77,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=77]} &
+\texttt{[drawcenters=false,choice=77]} &
+\texttt{[drawedges=false,choice=77]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2.5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=77,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=77]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=3cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=77,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=77]}
+\end{center}\newpage
+%
+\begin{center}
+{\Huge $2\{5\}2\{\frac52\}2\{3\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=78,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=78]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=78,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=78,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=78,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=78]} &
+\texttt{[drawcenters=false,choice=78]} &
+\texttt{[drawedges=false,choice=78]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2.5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=78,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=78]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=3cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=78,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=78]}
+\end{center}\newpage
+
+%
+\begin{center}
+{\Huge $2\{5\}2\{\frac52\}2\{5\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=79,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=79}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=79,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=79,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=79,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=79]} &
+\texttt{[drawcenters=false,choice=79]} &
+\texttt{[drawedges=false,choice=79]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=2.5cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=79,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=79]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=3cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=79,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=79]}
+\end{center}\newpage
+%
+\begin{center}
+{\Huge $2\{\frac525\}2\{5\}2\{\frac52\}2$}\\
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=80,linewidth=0.01mm] % par défaut choice=1 (332)
+\end{pspicture}
+$\backslash$\texttt{CoxeterCoordinates[choice=80]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawvertices=false,choice=80,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawcenters=false,choice=80,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm}
+\CoxeterCoordinates[drawedges=false,choice=80,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=80]} &
+\texttt{[drawcenters=false,choice=80]} &
+\texttt{[drawedges=false,choice=80]}
+\end{tabular}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=80,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,drawedges=false,drawcenters=false,drawcentersfaces=true,choice=80]}
+\end{center}
+\begin{center}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1cm}
+\CoxeterCoordinates[drawvertices=false,drawedges=false,drawcenters=false,drawcenterscells=true,choice=80,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawcenters=false,choice=80]}
+\end{center}\newpage
+
+
+\section{Examples}
+\begin{center}
+\begin{pspicture}(-5,-5)(5,5)
+\psset{unit=2}%\rotatebox{90}{
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=true,
+choice=8,linewidth=0.3mm,linecolor=green,linecolor=blue,sizeCentersFaces=0.15,
+colorCentersFaces=red,styleCentersFaces=pentagon]
+%}
+% \psset{unit=1}
+\CoxeterCoordinates[drawvertices=false,choice=9,linewidth=0.01mm,
+styleCenters=+,sizeCenters=0.1,colorCenters=black]
+\end{pspicture}\\
+%Les centres des ar\^etes d'un polytope Hessien sont les sommets
+%d'un polytope $2\{4\}3\{3\}3$.
+The centers of the edges of an Hessian are  the vertices of a
+$2\{4\}3\{3\}3$.
+\begin{verbatim}
+\psset{unit=2}%\rotatebox{90}{
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=true,
+choice=8,linewidth=0.3mm,linecolor=green,linecolor=blue,sizeCentersFaces=0.15,
+colorCentersFaces=red,styleCentersFaces=pentagon]
+%}
+ \psset{unit=1}
+\CoxeterCoordinates[drawvertices=false,choice=9,linewidth=0.01mm,
+styleCenters=+,sizeCenters=0.1,colorCenters=black]
+\end{verbatim}
+\end{center}
+\newpage
+\begin{center}
+\begin{pspicture}(-2,-7)(2,10)
+\psset{unit=2} \rotatebox{90}{
+\CoxeterCoordinates[drawcenters=false,choice=10,linewidth=0.3mm,linecolor=green,sizeVertices=0.2,
+colorVertices=magenta]} \psset{unit=1.725}
+\CoxeterCoordinates[drawvertices=false,choice=9,linewidth=0.01mm,
+styleCenters=+,sizeCenters=0.1,colorCenters=black]
+\end{pspicture}\\
+%Les centres des ar\^etes d'un polytope Hessien sont les sommets
+%d'un polytope $2\{4\}3\{3\}3$.
+The centers of the edges of an Hessian are a the vertices of a
+$3\{3\}3\{4\}2$.
+\begin{verbatim}
+\psset{unit=2} \rotatebox{90}{
+\CoxeterCoordinates[drawcenters=false,choice=10,linewidth=0.3mm,linecolor=green,sizeVertices=0.2,
+colorVertices=magenta]} \psset{unit=1.725}
+\CoxeterCoordinates[drawvertices=false,choice=9,linewidth=0.01mm,
+styleCenters=+,sizeCenters=0.1,colorCenters=black]\end{verbatim}
+\end{center}
+\newpage
+\begin{center}
+\begin{pspicture}(-2,-7)(2,10)
+\psset{unit=3}
+\CoxeterCoordinates[drawcenters=false,choice=8,linewidth=1mm,sizeVertices=0.1,colorVertices=magenta]
+\psset{unit=1}
+\CoxeterCoordinates[drawcenters=false,choice=9,linewidth=0.01mm,linecolor=blue,
+styleVertices=triangle,sizeVertices=0.07,colorVertices=blue]
+\rotatebox{180}
+{\CoxeterCoordinates[drawcenters=false,choice=9,linewidth=0.01mm,linecolor=green,
+styleVertices=triangle,sizeVertices=0.07,colorVertices=green]}\end{pspicture}\\
+%Les sommets d'un polytope $2\{4\}3\{3\}3$ sont les sommets de deux
+%polytopes Hessien r\'eciproques.
+The vertices of a polytope $2\{4\}3\{3\}3$ are the vertices of two
+reciprocal Hessien polytopes
+\begin{verbatim}
+\psset{unit=3}
+\CoxeterCoordinates[drawcenters=false,choice=8,linewidth=1mm,
+sizeVertices=0.1,colorVertices=magenta]
+\psset{unit=1}
+\CoxeterCoordinates[drawcenters=false,choice=9,linewidth=0.01mm,linecolor=blue,
+styleVertices=+,sizeVertices=0.1,colorVertices=blue] \rotatebox{180}
+{\CoxeterCoordinates[drawcenters=false,choice=9,linewidth=0.01mm,linecolor=green,
+styleVertices=+,sizeVertices=0.1,colorVertices=green]}
+\end{verbatim}
+\end{center}\newpage
+\begin{center}
+\begin{pspicture}(-2,-8)(2,8)
+\psset{unit=2} \rotatebox{180}
+{\CoxeterCoordinates[drawcenters=false,choice=9,
+linewidth=0.3mm,linecolor=green,styleVertices=triangle,sizeVertices=0.1,colorVertices=blue]}
+\psset{unit=2}
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,drawcentersfaces=true
+,choice=9,linewidth=0.01mm]
+\end{pspicture}\\
+%Les centres des faces d'un polytope Hessien sont les sommets d'un
+%polytope Hessien (r\'eciproque du premier).
+The centers of the faces of an Hessian are the vertices of its
+reciprocal.
+\begin{verbatim}
+\psset{unit=2} \rotatebox{180}
+{\CoxeterCoordinates[drawcenters=false,choice=9,
+linewidth=0.3mm,linecolor=green,styleVertices=triangle,sizeVertices=0.1,colorVertices=blue]}
+\psset{unit=2}
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,drawcentersfaces=true
+,choice=9,linewidth=0.01mm]
+\end{verbatim}
+\end{center}
+\newpage
+\begin{center}
+\begin{pspicture}(-2,-8)(2,8)
+\psset{unit=1.5} \rotatebox{180}
+{\CoxeterCoordinates[drawcenters=false,choice=8,
+linewidth=0.3mm,linecolor=green,styleVertices=triangle,sizeVertices=0.1,colorVertices=blue]}
+\psset{unit=2}
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,drawcentersfaces=true
+,choice=10,linewidth=0.01mm]
+\end{pspicture}\\
+%Les centres des faces d'un polytope $2\{4\}3\{3\}3$ sont les
+%sommets d'un polytope $3\{3\}3\{4\}2$ (r\'eciproque du premier).
+The centers of the faces of a $2\{4\}3\{3\}3$ are the vertices of a
+$3\{3\}3\{4\}2$.
+\begin{verbatim}
+\psset{unit=1.5} \rotatebox{180}
+{\CoxeterCoordinates[drawcenters=false,choice=8,
+linewidth=0.3mm,linecolor=green,styleVertices=triangle,sizeVertices=0.1,colorVertices=blue]}
+\psset{unit=2}
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,drawcentersfaces=true
+,choice=10,linewidth=0.01mm]
+\end{verbatim}
+\end{center}
+\newpage
+\begin{center}
+\begin{pspicture}(-2,-8)(2,8)
+ \psset{unit=2.5}
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,choice=11,linewidth=0.01mm,
+linecolor=black] \psset{unit=0.575} \reflectbox
+{\CoxeterCoordinates[drawcenters=false,choice=11,
+linewidth=0.01mm,linecolor=yellow,styleVertices=triangle,sizeVertices=0.1,colorVertices=blue]}
+\psset{unit=1.73}
+\CoxeterCoordinates[drawedges=false,drawvertices=false,drawcenters=false,
+drawcenterscells=true ,choice=11]
+\end{pspicture}\\
+The centers of the cells of a Witting polytope are the vertices of
+its reciprocal.
+\begin{verbatim}
+ \psset{unit=2.5}
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,choice=11,linewidth=0.01mm,
+linecolor=black] \psset{unit=0.575} \reflectbox
+{\CoxeterCoordinates[drawcenters=false,choice=11,
+linewidth=0.01mm,linecolor=yellow,styleVertices=triangle,sizeVertices=0.1,colorVertices=blue]}
+\psset{unit=1.73}
+\CoxeterCoordinates[drawedges=false,drawvertices=false,drawcenters=false,
+drawcenterscells=true ,choice=11]
+\end{verbatim}
+\end{center}
+\newpage
+\begin{center}
+\begin{pspicture}(-2,-8)(2,8)
+\psset{unit=3}
+\CoxeterCoordinates[drawedges=false,drawcenters=false,
+ choice=10,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.1]
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,choice=27]
+\end{pspicture}\\ One of the eight $3\{4\}2\{3\}2$ contained in a $3\{3\}3\{4\}2$.
+\begin{verbatim}
+\psset{unit=3}
+\CoxeterCoordinates[drawedges=false,drawcenters=false,
+ choice=10,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.1]
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,choice=27]
+\end{verbatim}
+\end{center}\newpage
+\begin{center}
+\begin{pspicture}(-2,-8)(2,8)
+\psset{unit=3}
+\CoxeterCoordinates[drawedges=false,drawcenters=false,
+ choice=10,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.1]
+\rotatebox{10.5}{\psset{unit=1.75}\CoxeterCoordinates[drawvertices=false,drawcenters=false,choice=26]}
+\end{pspicture}\\ One of the $8$  $2\{3\}2\{4\}3$ contained in a $3\{3\}3\{4\}2$.
+\begin{verbatim}
+\psset{unit=3}
+\CoxeterCoordinates[drawedges=false,drawcenters=false,
+ choice=10,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.1]
+\rotatebox{10.5} {\psset{unit=1.75}
+\CoxeterCoordinates[drawvertices=false,drawcenters=false,choice=26]}
+\end{verbatim}
+\end{center}
+\newpage
+\begin{center}
+\begin{pspicture}(-2,-8)(2,8)
+\psset{unit=3} \CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]
+ \CoxeterCoordinates[drawcenters=false,
+ choice=33,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true]
+ \psset{unit=0.25}\CoxeterCoordinates[drawcenters=false,
+ choice=33,linecolor=blue,linewidth=0.6mm,colorVertices=blue,sizeVertices=0.1,drawcenterscells=true]
+\CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]
+ \psset{unit=0.25}\CoxeterCoordinates[drawcenters=false,
+ choice=33,linecolor=blue,linewidth=0.6mm,colorVertices=blue,sizeVertices=0.1,drawcenterscells=true]
+\CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]
+ \psset{unit=0.25}\CoxeterCoordinates[drawcenters=false,
+ choice=33,linecolor=blue,linewidth=0.6mm,colorVertices=blue,sizeVertices=0.1,drawcenterscells=true]
+\CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]
+\end{pspicture}
+\end{center}
+A 16-tope in an hypercube in a 16-tope in an hypercube in ...
+\begin{verbatim}
+\psset{unit=3} \CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]
+ \CoxeterCoordinates[drawcenters=false,
+ choice=33,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true]
+ \psset{unit=0.25}\CoxeterCoordinates[drawcenters=false,
+ choice=33,linecolor=blue,linewidth=0.6mm,colorVertices=blue,sizeVertices=0.1,drawcenterscells=true]
+\CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]
+ \psset{unit=0.25}\CoxeterCoordinates[drawcenters=false,
+ choice=33,linecolor=blue,linewidth=0.6mm,colorVertices=blue,sizeVertices=0.1,drawcenterscells=true]
+\CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]
+ \psset{unit=0.25}\CoxeterCoordinates[drawcenters=false,
+ choice=33,linecolor=blue,linewidth=0.6mm,colorVertices=blue,sizeVertices=0.1,drawcenterscells=true]
+\CoxeterCoordinates[drawcenters=false,
+ choice=32,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,drawcenterscells=true,
+ sizeCentersCells=0.05,styleCentersCells=o]\end{verbatim}
+\newpage
+\newpage
+\begin{center}
+\begin{pspicture}(-2,-4)(2,4)
+\psset{unit=2}
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,drawvertices=false,
+ choice=30,linewidth=0.1mm,linecolor=blue]
+ \CoxeterCoordinates[drawcenters=false,
+ choice=31,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=magenta]
+ \CoxeterCoordinates[drawcenters=false,drawcentersfaces=true,drawvertices=false,
+ drawedges=false,choice=30]
+\end{pspicture}
+\begin{pspicture}(-2,-4)(2,4)
+\psset{unit=2} \CoxeterCoordinates[drawcenters=false,
+ choice=31,linewidth=0.1mm,drawvertices=false,linecolor=magenta]
+{\psset{unit=0.635}\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,
+ choice=30,linewidth=0.1mm,linecolor=blue,colorVertices=blue,sizeVertices=0.1]
+ }
+ \CoxeterCoordinates[drawcenters=false,drawedges=false,drawcentersfaces=true,
+ choice=31,linewidth=0.1mm,drawvertices=false]
+\end{pspicture}
+
+\end{center}
+A dodec\ae dron in an ikos\ae dron and an iko\ae dron in a dodec\ae
+dron.
+\begin{verbatim}
+\begin{pspicture}(-2,-4)(2,4)
+\psset{unit=2}
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,drawvertices=false,
+ choice=30,linewidth=0.1mm,linecolor=blue]
+ \CoxeterCoordinates[drawcenters=false,
+ choice=31,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=magenta]
+ \CoxeterCoordinates[drawcenters=false,drawcentersfaces=true,drawvertices=false,
+ drawedges=false,choice=30]
+\end{pspicture}
+\begin{pspicture}(-2,-4)(2,4)
+\psset{unit=2} \CoxeterCoordinates[drawcenters=false,
+ choice=31,linewidth=0.1mm,drawvertices=false,linecolor=magenta]
+{\psset{unit=0.635}\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,
+ choice=30,linewidth=0.1mm,linecolor=blue,colorVertices=blue,sizeVertices=0.1]
+ }
+ \CoxeterCoordinates[drawcenters=false,drawedges=false,drawcentersfaces=true,
+ choice=31,linewidth=0.1mm,drawvertices=false]
+\end{pspicture}
+\end{verbatim}
+\newpage
+%%%%
+\begin{center}
+\begin{pspicture}(-7,-7)(7,7)
+\psset{unit=5}
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,drawvertices=false,
+ choice=35,linewidth=0.1mm,linecolor=blue]
+ {\psset{unit=0.86}
+ \CoxeterCoordinates[drawcenters=false,
+ choice=36,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=red]
+ }
+ \CoxeterCoordinates[drawcenters=false,drawcenterscells=true,drawvertices=false,
+ drawedges=false,choice=35]
+\end{pspicture}
+\end{center}
+A $120$-tope in a $600$-tope.
+\begin{verbatim}
+\begin{pspicture}(-7,-7)(7,7)
+\psset{unit=5}
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,drawvertices=false,
+ choice=35,linewidth=0.1mm,linecolor=blue]
+ {\psset{unit=0.86}
+ \CoxeterCoordinates[drawcenters=false,
+ choice=36,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=red]
+ }
+ \CoxeterCoordinates[drawcenters=false,drawcenterscells=true,drawvertices=false,
+ drawedges=false,choice=35]
+\end{pspicture}
+\end{verbatim}
+\newpage
+%%%%
+\begin{center}
+\begin{pspicture}(-7,-7)(7,7)
+\psset{unit=5}
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,drawvertices=false,
+ choice=36,linewidth=0.1mm,linecolor=blue]
+ \CoxeterCoordinates[drawcenters=false,
+ choice=35,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=red]
+ \CoxeterCoordinates[drawcenters=false,drawcenterscells=true,drawvertices=false,
+ drawedges=false,choice=36]
+\end{pspicture}
+\end{center}
+A $600$-tope in a $120$-tope.
+\begin{verbatim}
+\begin{pspicture}(-7,-7)(7,7)
+\psset{unit=5}
+\CoxeterCoordinates[drawcenters=false,drawcentersfaces=false,drawvertices=false,
+ choice=36,linewidth=0.1mm,linecolor=blue]
+ \CoxeterCoordinates[drawcenters=false,
+ choice=35,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=red]
+ \CoxeterCoordinates[drawcenters=false,drawcenterscells=true,drawvertices=false,
+ drawedges=false,choice=36]
+\end{pspicture}
+\end{verbatim}
+\newpage
+%%%%
+%%%%
+\begin{center}
+\begin{pspicture}(-7,-7)(7,7)
+\psset{unit=0.5} \CoxeterCoordinates[drawcenters=false,
+ choice=71,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=magenta]
+ \rotatebox{4.5}{\psset{unit=6.9}\CoxeterCoordinates[drawcenters=false,
+choice=36,styleVertices=*,linewidth=0.1mm,linecolor=blue]}
+\end{pspicture}
+\end{center}
+A starry $120$-tope in a $120$-tope.
+\begin{verbatim}
+\psset{unit=0.5} \CoxeterCoordinates[drawcenters=false,
+ choice=71,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=magenta]
+ \rotatebox{4.5}{\psset{unit=6.9}\CoxeterCoordinates[drawcenters=false,
+choice=36,styleVertices=*,linewidth=
+\end{verbatim}
+%%%%
+%\begin{center}
+%\begin{pspicture}(-7,-7)(7,7)
+%{\psset{unit=5} \CoxeterCoordinates[drawcenters=false,
+% choice=72,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=magenta]}
+% \rotatebox{5}{\CoxeterCoordinates[unit=4.98,drawcenters=false,
+%choice=35,styleVertices=*,linewidth=0.1mm,linecolor=blue]}
+%\end{pspicture}
+%\end{center}
+%A starry $600$-tope in a $600$-tope.
+%\begin{verbatim}
+%\begin{pspicture}(-7,-7)(7,7)
+%\psset{unit=0.5} \CoxeterCoordinates[drawcenters=false,
+% choice=72,linewidth=0.1mm,colorVertices=blue,sizeVertices=0.05,linecolor=magenta]
+% \CoxeterCoordinates[unit=7,drawcenters=false,
+%choice=35,styleVertices=*,linewidth=0.1mm,linecolor=blue]
+%\end{pspicture}\end{verbatim}
+\end{document}
diff --git a/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/pst-coxcoor_doc.pdf b/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/pst-coxcoor_doc.pdf
new file mode 100644
index 00000000000..4b24fd50775
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/pst-coxcoor_doc.pdf
diff --git a/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/pst-coxcoor_doc.tex b/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/pst-coxcoor_doc.tex
new file mode 100644
index 00000000000..f346c7e410a
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-cox/pst-coxcoor/pst-coxcoor_doc.tex
@@ -0,0 +1,1118 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    polygonesCoordinate\pst-coxcoor_doc.tex
+%    7   Authors:      J.-G. Luque and M. Luque
+%    8   Purpose:      Documentation for pst-coxcoor
+%    9   Created:      02/02/2008
+%   10   License:      LGPL
+%   11   Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    polygonesCoordinate\Gallery.tex
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      Demonstration of the library pst-coxcoor
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%
+
+\documentclass[a4paper]{article}
+\usepackage[latin1]{inputenc}%
+\usepackage[margin=2cm]{geometry}
+\usepackage{pst-coxcoor}
+\usepackage{multido}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+\usepackage{amsmath}
+\usepackage{graphics}
+% d\'emonstration
+% JG Luque 12 août 2003
+\newtheorem{example}{Example}[section]
+\newcount\ChoicePolytope
+\def\C{{\mathbb C}}
+
+\title{The Library {\tt pst-coxcoor}}
+\author{Jean-Gabriel \textsc{Luque}\footnote{Universit\'e Paris-Est, Laboratoire d'informatique
+de l'Institut-Gaspard Monge, Jean-Gabriel.Luque@univ-mlv.fr} and
+Manuel
+ \textsc{Luque}\footnote{mluque5130@aol.com}}
+\begin{document}
+\maketitle
+ \begin{abstract}
+ We describe the {\tt LaTex} library {\tt pst-coxcoor} devoted to
+ draw regular complex polytopes.
+ \end{abstract}
+ \section{Introduction}
+ Inspired by the dissertation of G.C. Shephard \cite{Sh}, Coxeter
+ toke twenty years to write his most famous book {\em Regular Complex Polytopes} \cite{Cox}. But its
+ interest for the polytope dates from the beginning of his career as
+ shown his numerous publications on the subject (reader can refer to
+ \cite{Reg} or \cite{Kalei}). According to the preface of
+ \cite{Cox}, the term of complex polytopes is due to D.M.Y.
+ Sommerville \cite{Som}. A complex polytope may have more than two
+ vertices on an edge (and in particular the polygons may have more
+ than two edges at a vertice). It is a finite set of flags of subspaces in $\C^n$
+ with certain constraints
+  which will be not developed here \footnote{For a precise
+  definition, see \cite{Cox} Ch12}.
+  In fact, a complex polytope can be generated  from one vertice by a finite number of pseudo-reflections.
+ More precisely, as for the classical solids, it
+ can be constructed from an arrangement of mirrors,
+ considering a point in the intersection of all but one the mirrors
+ and computing the orbit of this point by the pseudo-reflections generated by the mirrors. In the
+ case of the real polytopes, one uses classical reflections which are
+ involutions. It is not the case for general complex polytopes, since
+ a reflection may include a component which is a rotation.
+The classification of the complex polytopes is due to G.C. Shephard
+\cite{Sh} and is closely related to the classification of the
+complex unitary reflection groups \cite{ST}. Many of these groups
+are fundamental in  geometry. For example, the polytope Hessian is a
+$3$-dimensional polytope whose symmetry group is generated by $3$
+pseudo-reflections $s_1$, $s_2$ and $s_3$ verifying
+$s_1^3=s_2^3=s_3^3=Id$, $s_1s_2s_1=s_2s_1s_2$, $s_2s_3s_2=s_3s_2s_3$
+and $s_1s_3=s_3s_1$ and which is related to the determination of the
+nine inflection points of a cubic curve and the 27 lines in a cubic
+plane.\\
+The library described here is a {\tt LaTex} package for drawing two
+dimensional projections of regular complex polytopes. The
+coordinates of the vertices, edges, faces... of the projections have
+been pre-calculated using a formal computer system.\\
+The polytopes considered  are exceptional polytopes, for drawing
+infinite series use the package {\it pst-coxeterp}.\\
+ Note that this package have already been used by one of the author
+ to illustrate an article \cite{qutrit} in collaboration with E. Briand,
+ J.-Y. Thibon and F. Verstraete and in his ``{\it habilitation \`a
+ diriger les recherches}'' \cite{Luque}.
+\section{Install {\tt pst-coxcoor}}
+The package contains three files: A latex style file {\tt
+pst-coxcoor.sty} which call the latex file {\tt pst-coxcoor.tex}
+containing the description of the macro {\tt
+$\setminus$CoxeterCoordinates} and a data file {\tt pst-coxcoor.pro}
+which contains the list of the coordinates of each polytope.\\ The
+installation is very simple. It suffices to
+copy the files {\tt pst-coxcoor.sty}, {\tt pst-coxcoor.tex} and\\
+{\tt pst-coxcoor.pro} in the appropriate directories.
+\begin{example}\rm
+The file {\tt pst-coxcoor.sty} may be copy in the directory \\ {\tt
+c:/texmf/tex/latex/pst-coxcoor},\\
+ the file {\tt pst-coxcoor.tex} in\\
+{\tt c:/texmf/tex/generic/pst-coxcoor}\\ and the file {\tt
+pst-coxcoor.pro} in\\ {\tt c:/texmf/tex/dvips/pst-coxcoor}.
+\end{example}
+To use the package add the code
+\begin{verbatim}
+\usepackage{pst-coxcoor}}
+\end{verbatim}
+in the beginning of your LaTex-file.
+\begin{example}\rm
+\begin{verbatim}
+\documentclass[a4paper]{article}
+...
+\usepackage{pst-coxcoor}
+....
+\end{verbatim}
+\end{example}
+The library needs the packages {\tt PSTrick} and {\tt pst-xkey}.
+
+\section{Characteristics of the polytopes}
+ The polytope considered here are two, three or four
+ ($\C$)-dimensional objects which generalizes the classical platonic
+ solids.  They are constituted of vertices, edges, faces and cells
+ (four dimensional faces). The package contains only one macro {\tt $\setminus$CoxeterCoordinates}
+ which draws the vertices,
+ the edges, the centers of the edges\footnote{In general, for a complex polytope, the edges are
+ polygonal.}, the centers of the faces and the centers of the cells.
+ All the coordinates of the polytopes have been pre-computed and
+ stored in the file {\tt pst-coxcoor.pro}.
+\subsection{List of the polytopes}
+The parameter {\tt ichoice} contains the number identifying the
+polytope.
+\begin{example}
+\rm Setting {\tt choice=9} makes the macro draw the (3 dimensional)
+Hessian polytope which has $27$ vertices, $72$ triangular edges and
+$27$ faces.
+\[
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=9] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-4,-4)(4,4)
+\psset{unit=1.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=9] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+There is $80$ pre-calculated polytopes in the file {\tt
+pst-coxcoor.pro}. Almost all the complex regular polytopes up to the
+dimension four have been computed. Only some starry polytopes in
+dimension $4$ are not in the list. The following tableau contains
+the list of the polytopes with their names in the notation of
+Coxeter \cite{Cox}.
+\[
+\begin{array}{|c|c|c|}
+\hline 2\{3\}3&3\{3\}3&3\{3\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=1] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=2] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=3] %
+\end{pspicture}\\\hline
+{\tt choice=1}&{\tt choice=2}&{\tt choice=3}\\\hline
+\end{array}\]
+ %%%%
+\[
+\begin{array}{|c|c|c|}\hline
+ 3\{4\}2&3\{4\}4&3\{4\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=4] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=5] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=6] %
+\end{pspicture}\\\hline
+{\tt choice=4}&{\tt choice=5}&{\tt choice=6}\\\hline
+ %%%%
+\end{array}\]
+ %%%%
+\[
+\begin{array}{|c|c|c|}\hline
+4\{3\}4&2\{4\}3\{3\}3&3\{3\}3\{3\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=7] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=8] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=9] %
+\end{pspicture}\\\hline
+{\tt choice=7}&{\tt choice=8}&{\tt choice=9}\\\hline
+\end{array}
+\]
+%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{3\}3\{4\}2&3\{3\}3\{3\}3\{3\}3&3\{8\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=10] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=11,drawcenters=false] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=12] %
+\end{pspicture}\\\hline
+{\tt choice=10}&{\tt choice=11}&{\tt choice=12}\\\hline
+\end{array}
+\]
+%%%%
+%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{8\}3&3\{5\}3&4\{4\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=13] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=14] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=15] %
+\end{pspicture}\\\hline
+{\tt choice=13}&{\tt choice=14}&{\tt choice=15}\\\hline
+\end{array}
+\]
+%%%
+%%%
+\[
+\begin{array}{|c|c|c|}\hline
+4\{3\}2&2\{3\}4&2\{6\}4\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=16] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=17] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=18] %
+\end{pspicture}\\\hline
+{\tt choice=16}&{\tt choice=17}&{\tt choice=18}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+4\{6\}2&5\{3\}5&2\{10\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=19] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=20] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=21] %
+\end{pspicture}\\\hline
+{\tt choice=19}&{\tt choice=20}&{\tt choice=21}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{10\}2&2\{5\}3&3\{5\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=22] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=23] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=24] %
+\end{pspicture}\\\hline
+{\tt choice=22}&{\tt choice=23}&{\tt choice=24}\\\hline
+\end{array}
+\]
+%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{4\}3&2\{3\}2\{4\}3&3\{4\}2\{3\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=25] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=26] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=27] %
+\end{pspicture}\\\hline
+{\tt choice=25}&{\tt choice=26}&{\tt choice=27}\\\hline
+\end{array}
+\]
+%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{4\}2\{3\}2\{3\}2&2\{3\}2\{3\}2\{4\}3&2\{3\}2\{5\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=28] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=29] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=30] %
+\end{pspicture}\\\hline
+{\tt choice=28}&{\tt choice=29}&{\tt choice=30}\\\hline
+\end{array}
+\]
+%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{5\}2\{3\}2&2\{3\}2\{3\}2\{4\}2&2\{4\}2\{3\}2\{3\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=31] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=32] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=33] %
+\end{pspicture}\\\hline
+{\tt choice=31}&{\tt choice=32}&{\tt choice=33}\\\hline
+\end{array}
+\]
+%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{3\}2\{4\}2\{3\}2&2\{3\}2\{3\}2\{5\}2&2\{5\}2\{3\}2\{3\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=34] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=35,drawcenters=false] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=36,drawcenters=false] %
+\end{pspicture}\\\hline
+{\tt choice=34}&{\tt choice=35}&{\tt choice=36}\\\hline
+\end{array}
+\]
+%%%%
+%%%%
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{\frac52\}3&5\{\frac52\}5&2\{\frac52\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=37] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=38] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=39] %
+\end{pspicture}\\\hline
+{\tt choice=37}&{\tt choice=38}&{\tt choice=39}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{\frac52\}2&3\{\frac{10}3\}2&2\{\frac{103}\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=40] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.4cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=41] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=42] %
+\end{pspicture}\\\hline
+{\tt choice=40}&{\tt choice=41}&{\tt choice=42}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{\frac83\}2&2\{\frac83\}3&5\{6\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.1 cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=43] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=44] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=45] %
+\end{pspicture}\\\hline
+{\tt choice=43}&{\tt choice=44}&{\tt choice=45}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{6\}5&4\{\frac83\}3&3\{\frac83\}4\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=46] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=47] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=48] %
+\end{pspicture}\\\hline
+{\tt choice=46}&{\tt choice=47}&{\tt choice=48}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+5\{5\}2&2\{5\}5&5\{\frac{10}3\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=49] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=50] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=51] %
+\end{pspicture}\\\hline
+{\tt choice=49}&{\tt choice=50}&{\tt choice=51}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{\frac{10}3\}5&5\{3\}2&2\{3\}5\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=52] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=53] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=54] %
+\end{pspicture}\\\hline
+{\tt choice=52}&{\tt choice=53}&{\tt choice=54}\\\hline
+\end{array}
+\]
+%%%
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+5\{4\}2&2\{4\}5&5\{\frac{10}3\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=55] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=56] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=57] %
+\end{pspicture}\\\hline
+{\tt choice=55}&{\tt choice=56}&{\tt choice=57}\\\hline
+\end{array}
+\]
+%%%%
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{\frac{10}3\}5&5\{4\}3&3\{4\}5\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=58] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=59] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.25cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=60] %
+\end{pspicture}\\\hline
+{\tt choice=58}&{\tt choice=59}&{\tt choice=60}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+5\{3\}3&3\{3\}5&5\{\frac52\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=61] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=62] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.6cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=63] %
+\end{pspicture}\\\hline
+{\tt choice=61}&{\tt choice=62}&{\tt choice=63}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{\frac52\}5&2\{\frac52\}2\{3\}2&2\{3\}2\{\frac52\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=64] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=2cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=65] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=66] %
+\end{pspicture}\\\hline
+{\tt choice=64}&{\tt choice=65}&{\tt choice=66}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{\frac52\}2\{3\}2&2\{5\}2\{\frac52\}2&2\{6\}3\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=2.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=67] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=68] %
+\end{pspicture}
+ &\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=2.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=69] %
+\end{pspicture}\\\hline
+{\tt choice=67}&{\tt choice=68}&{\tt choice=69}\\\hline
+\end{array}
+\]
+%%%%%
+\[
+\begin{array}{|c|c|c|}\hline
+3\{6\}2&2\{\frac52\}2\{3\}2\{3\}2&2\{3\}2\{3\}2\{\frac52\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=70] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.17cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=71] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.4cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=72] %
+\end{pspicture}\\
+ \hline
+{\tt choice=70}&{\tt choice=71}&{\tt choice=72}\\\hline
+\end{array}
+\]
+\[
+\begin{array}{|c|c|c|}\hline
+2\{3\}2\{\frac52\}2\{5\}2&2\{3\}2\{5\}2\{\frac52\}2&2\{\frac52\}2\{3\}2\{5\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=73] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=74] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=75] %
+\end{pspicture}\\
+ \hline
+{\tt choice=73}&{\tt choice=74}&{\tt choice=75}\\\hline
+\end{array}
+\]
+%
+\[
+\begin{array}{|c|c|c|}\hline
+2\{\frac52\}2\{5\}2\{3\}2&2\{5\}2\{3\}2\{\frac52\}2&2\{5\}2\{\frac52\}2\{3\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=76] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=77] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=78] %
+\end{pspicture}\\
+ \hline
+{\tt choice=76}&{\tt choice=77}&{\tt choice=78}\\\hline
+\end{array}
+\]
+\[
+\begin{array}{|c|c|c|}\hline
+2\{5\}2\{\frac52\}2\{5\}2&2\{\frac525\}2\{5\}2\{\frac52\}2\\\hline
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=79] %
+\end{pspicture}&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.4cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=80] %
+\end{pspicture}\\
+ \hline
+{\tt choice=79}&{\tt choice=80}\\\hline
+\end{array}
+\]
+
+
+
+\subsection{The components of a polytope}
+ The library {\tt pst-coxcoor.sty} contains a macro for
+drawing the vertices, the edges, the centers of the edges, the
+centers of the faces and the centers of the cells of many
+pre-calculated regular complex polytopes.
+
+It is possible to choice which components of the polytope will be
+drawn. It suffices to use the boolean parameters {\tt drawedges},
+{\tt drawvertices}, {\tt drawcenters}, {\tt drawcentersface}, and
+{\tt drawcenterscells}.
+
+ By default the values of the parameters {\tt
+drawedges}, {\tt drawvertices}, {\tt drawcenters} are set to {\tt
+true} and the values of {\tt drawcentersface} and {\tt
+drawcenterscells} are set to {\tt false}.
+\begin{example}
+\rm By default, the vertices, the edges and the centers of the edges
+are drawn but not the centers of the faces and the cells.
+\[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[choice=28] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+ \CoxeterCoordinates[choice=28]
+\end{pspicture}
+\end{verbatim}
+The macro  does not draw the edges
+\[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[choice=28,drawedges=false] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+ \CoxeterCoordinates[choice=28,drawedges=false]
+\end{pspicture}
+\end{verbatim}
+or the vertices
+\[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[choice=28,drawvertices=false] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+ \CoxeterCoordinates[choice=28,drawvertices=false]
+\end{pspicture}
+\end{verbatim}
+or the centers of the edges.
+\[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[choice=28,drawcenters=false] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+ \CoxeterCoordinates[choice=28,drawcenters=false]
+\end{pspicture}
+\end{verbatim}
+Furthermore, one can draw the centers of the faces (when the
+dimension of the polytope is at least 3)
+\[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[choice=28,drawvertices=false,drawcenters=false,drawcentersfaces=true] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+ \CoxeterCoordinates[choice=28,drawvertices=false,drawcenters=false,drawcentersfaces=true]
+\end{pspicture}
+\end{verbatim}
+and the centers of the cells (when the dimension of the polytope is
+at least 4).
+\[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[choice=28,drawvertices=false,drawcenters=false,drawcenterscells=true] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1cm}
+ \CoxeterCoordinates[choice=28,drawvertices=false,drawcenters=false,drawcenterscells=true]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+\section{Graphical parameters}
+It is possible to change the graphical characteristics of a
+polytope.\\
+The size of the polytope depends on the parameter {\tt unit}.
+\begin{example}
+\rm
+ \[
+  \begin{pspicture}(-1,-1)(1,1)
+\CoxeterCoordinates[choice=4,unit=0.3cm] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,unit=0.8cm] %
+\end{pspicture}
+ \begin{pspicture}(-4,-4)(4,4)
+\CoxeterCoordinates[choice=4,unit=2cm] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-1,-1)(1,1)
+\CoxeterCoordinates[choice=4,unit=0.3cm] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,unit=0.8cm] %
+\end{pspicture}
+ \begin{pspicture}(-4,-4)(4,4)
+\CoxeterCoordinates[choice=4,unit=2cm] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+Classically, one can modify the color and the width of the edges
+using the parameter {\tt linecolor} and {\it linewidth}.
+\begin{example}
+\rm
+ \[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8,linewidth=0.01,linecolor=red}
+\CoxeterCoordinates[choice=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,linewidth=0.1] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8,linewidth=0.01,linecolor=red}
+\CoxeterCoordinates[choice=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,linewidth=0.1] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+The color, the style and the size of the vertices can be modify
+using the parameters {\tt colorVertices}, {\tt styleVertices} and
+{\tt sizeVertices}. The style of the vertices can be chosen in the
+classical dot styles.
+\begin{example}
+\rm
+ \[
+\begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorVertices=blue,styleVertices=pentagon,sizeVertices=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorVertices=magenta,sizeVertices=0.1,styleVertices=triangle] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorVertices=red,styleVertices=+,sizeVertices=0.2] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorVertices=blue,styleVertices=pentagon,sizeVertices=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorVertices=magenta,sizeVertices=0.1,styleVertices=triangle] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorVertices=red,styleVertices=+,sizeVertices=0.2] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+The color, the style and the size of the centers of the edges can be
+modify using the parameters {\tt colorCenters}, {\tt styleCenters}
+and {\tt sizeCenters}.
+\begin{example}
+\rm
+ \[
+\begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorCenters=blue,styleCenters=pentagon,sizeCenters=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorCenters=magenta,sizeCenters=0.1,styleCenters=triangle] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorCenters=red,styleCenters=+,sizeCenters=0.2] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorCenters=blue,styleCenters=pentagon,sizeCenters=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorCenters=magenta,sizeCenters=0.1,styleCenters=triangle] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\CoxeterCoordinates[choice=4,colorCenters=red,styleCenters=+,sizeCenters=0.2] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+The color, the style and the size of the centers of the faces can be
+modify using the parameters {\tt colorCentersFaces}, {\tt
+styleCentersFaces} and {\tt sizeCentersFaces}.
+\begin{example}
+\rm
+ \[\psset{unit=0.8cm,drawcentersfaces=true}
+\begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,styleCentersFaces=pentagon,sizeCentersFaces=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersFaces=magenta,sizeCentersFaces=0.1] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersFaces=red,styleCentersFaces=+] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\psset{unit=0.8cm,drawcentersfaces=true}
+\begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,styleCentersFaces=pentagon,sizeCentersFaces=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersFaces=magenta,sizeCentersFaces=0.1] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersFaces=red,styleCentersFaces=+] %
+\end{pspicture}\end{verbatim}
+\end{example}
+
+The color, the style and the size of the centers of the cells can be
+modify using the parameters {\tt colorCentersCells}, {\tt
+styleCentersCells} and {\tt sizeCentersCells}.
+\begin{example}
+\rm
+ \[\psset{unit=0.8cm,drawcenterscells=true,drawcentersfaces=false}
+\begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,styleCentersCells=pentagon,sizeCentersCells=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersCells=magenta,sizeCentersCells=0.1] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersCells=red,styleCentersCells=+] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\psset{unit=0.8cm,drawcenterscells=true,drawcentersfaces=false}
+\begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,styleCentersCells=pentagon,sizeCentersCells=0.2] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersCells=magenta,sizeCentersCells=0.1] %
+\end{pspicture}
+ \begin{pspicture}(-3,-3)(3,3)
+\CoxeterCoordinates[choice=33,colorCentersCells=red,styleCentersCells=+] %
+\end{pspicture}\end{verbatim}
+\end{example}
+\section{How to modify or add a polytope to the Library}
+The polytopes described in this library are the regular complex
+polytopes as considered by Coxeter \cite{Cox}. But, in fact, the
+same library can be used to draw any kind of polytopes (not
+necessarily regular) if the user add the datas corresponding to the
+vertices, the edges, the faces and the cells of the polytopes.
+
+To add a polytope, one has to modify the file {\tt
+pst-coxeterp.pro}. This file contains the list of the polytopes
+which can be drawn with the macro {\tt CoxeterCoordinates}.
+ For each polytope, the datas are organized as follows
+ \begin{verbatim}
+  /cox+name+datas{% The name of the Polytope
+  /ListePoints [
+            % List of the edges
+            ] def
+  /ListeFaces [
+        % List of the centers of the faces
+            ] def
+  /ListeCells [
+         % List of the centers of the cells
+         ] def
+  /NbrFaces nf def % nb of faces
+  /NbrCells nc def % nb of cells
+  /NbrEdges ne def % nb of edges
+  /NbrVerticesInAnEdge nv def % nb of vertices per edge
+  } def
+ \end{verbatim}
+ The list {\tt /ListePoints} contains  the description of the edges
+ of the polytope. The variable {\tt /NbrEdges} contains the number
+ of edges and the variables {\tt /NbrVerticesInAnEdges} contains the
+ number of vertices by edges. An edge is defined by its {\tt
+ /NbrVerticesInAnEdges} vertices. The list {\tt /ListePoints} of the
+ edges is the list of all edges described by the sequence of their
+ vertices.
+ \begin{example}\rm
+ Let us explain the structure on the example of the complex polytope
+ $3\{4\}2$.
+\begin{verbatim}
+/cox342datas{%
+ /ListePoints [
+    [-1.054405725 .6087614291]
+    [-1.717232873 -.9914448614]
+    [0 -.7653668647]
+    [1.054405725 .6087614291]
+    [1.717232873 -.9914448614]
+    [0 -.7653668647]
+    [-.6628271482 .3826834323]
+    [0 -1.217522858]
+    [-1.717232873 -.9914448614]
+    [0 1.982889723]
+    [.6628271482 .3826834323]
+    [-1.054405725 .6087614291]
+    [.6628271482 .3826834323]
+    [0 -1.217522858]
+    [1.717232873 -.9914448614]
+    [0 1.982889723]
+    [-.6628271482 .3826834323]
+    [1.054405725 .6087614291]
+            ] def
+ /ListeFaces [
+        [0 0]
+            ] def
+ /NbrFaces 1 def
+ /ListeCells [
+         [0 0]
+         ] def
+ /NbrCells 1 def
+ /NbrEdges 6 def
+ /NbrVerticesInAnEdge 3 def
+ } def
+\end{verbatim}
+ This is a complex polygon and the number $3$ indicates
+ that each edges is triangular and contains $3$ vertices. Hence, the
+ list {\tt /ListePoints} is a sequence of triplet of points.
+  For example, the first edge is constituted by the three vertices {\tt [-1.054405725 .6087614291]  [-1.717232873 -.9914448614]
+ [0 -.7653668647]}.
+Here, since there is $6$ edges of $3$ vertices, the list {\tt
+/ListePoints} contains $18$ points with two coordinates.\\ Note
+that, since $3\{4\}2$ is a polygon, it has neither faces nor cells.
+In such a case, the variables {\tt ListeFaces} and {\tt ListeCells}
+must contain only one point {\tt [0 0]} and the variables {\tt
+/NbrFaces} and {\tt /NbrCells}  contain $1$.
+ \end{example}
+When the polytope has more than two dimensions, it has faces. The
+number of faces is given by the variable {\tt /NbrFaces} and the
+variable {\tt /ListeFaces} contains the list of the centers of the
+faces.\\
+If the polytope has four dimensions, it has cells. The number of
+cells is given by the variable {\tt /NbrCells} and the variable {\tt
+/ListeCells} contains the list of the centers of the cells.\\ \\
+To add a polytope, add  the datas in the files {\tt pst-coxeter.pro}
+and modify the file {\tt pst-coxeter.tex} as follows. Change the
+numbers of the polytopes at the line 26 of the file
+ \begin{verbatim}
+ %%% Parameter choice. Allows to choice the polytope. To each integer
+ %%% 0<i<81 corresponds a polytope.
+ \define@key[psset]{pst-coxeter}{choice}{%
+ \pst@cntg=#1\relax \ifnum\pst@cntg>80 \typeout{choice < or = 80 and
+ not `\the\pst@cntg'. Value 1 forced.} \pst@cntg=1
+  \fi
+ \edef\psk@pstCoxeter@choice{#1}}
+ \end{verbatim}
+Here, the number of polytope is $80$, if your add other datas you
+must increase this number.
+ \begin{verbatim}
+ %%% Parameter choice. Allows to choice the polytope. To each integer
+ %%% 0<i<82 corresponds a polytope.
+ \define@key[psset]{pst-coxeter}{choice}{%
+ \pst@cntg=#1\relax \ifnum\pst@cntg>81 \typeout{choice < or = 81 and
+ not `\the\pst@cntg'. Value 1 forced.} \pst@cntg=1
+  \fi
+ \edef\psk@pstCoxeter@choice{#1}}
+ \end{verbatim}
+ Hence, you must add the polytope to the list of polytopes (line 169
+- 251 of the file {\tt pst-coxcoor.tex}.
+\begin{verbatim}
+ /choice \the\pst@cntg\space def
+  choice 1 eq {cox233datas} if
+  ...
+  choice 78 eq {cox362datas} if
+  choice 79 eq {cox25223232datas} if
+  choice 80 eq {cox23232522datas} if
+%%%     <-- add new polytope here
+ \end{verbatim}
+ For example, add the line
+ \begin{verbatim}
+   choice 81 eq {coxNEWdatas} if
+ \end{verbatim}
+ \begin{thebibliography}{ABC}
+\bibitem{qutrit}  E. Briand, J.-G. Luque, J.-Y. Thibon and F. Verstrate, {\it the
+moduli space of the three qutrit states},Journal of Mathematical
+Physics, vol. 45, num. 12, pp. 4855--4867, 2004.
+%
+\bibitem{Reg} H. S. M. Coxeter, {\em Regular polytopes}, Third
+Edition, Dover Publication Inc., New-York, 1973.
+%
+\bibitem{Cox}
+H. S. M. Coxeter, {\em Regular Complex Polytopes}, Second Edition,
+Cambridge University Press, 1991 .
+%
+\bibitem{Kalei}
+ H.S.M. Coxeter, {\em Kaleidoscopes, selected writing of H.S.M.
+ Coxeter by F.A. Sherk, P. McMullen, A.C. Thompson, A. Ivi\'c Weiss}, Canadian Mathematical Society Series of Monographs and
+ Advanced texts, Published in conjunction with the fiftieth anniversary of
+ the canadian mathematical society, J. M. Borwein and P. B. Borwein
+ Ed., A Wiley-Interscience publication, 1995.
+%
+\bibitem{Luque} J.-G. Luque, {\em Invariants des hypermatrices},
+habilitation \`a diriger les recherches, Université Paris-Est,
+Décembre 2007.
+%
+\bibitem{Sh} G.C. Shephard, {\em Regular Complex Polytopes},
+Proceeding of the London Mathermatical Society (3), 2 82-97.
+%
+\bibitem{ST} G.C. Shephard and J.A. Todd, {\it Finite unitary
+reflection groups}, Canadian Journal of Mathematics 6, 274-304,
+1954.
+%
+\bibitem{Som} M.Y. Sommerville, {\it Geometry of $n$ dimension},
+Methuen, Lodon, 1929.
+\end{thebibliography}
+
+ \end{document}
diff --git a/Master/texmf-dist/doc/generic/pst-cox/pst-coxeterp/Gallery.tex b/Master/texmf-dist/doc/generic/pst-cox/pst-coxeterp/Gallery.tex
new file mode 100644
index 00000000000..7d47fd13eb0
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pst-cox/pst-coxeterp/Gallery.tex
@@ -0,0 +1,342 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    pst-coxeter_parameter\Gallery.tex
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      Demonstration of the library pst-coxeterp
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\documentclass[a4paper]{article}
+\usepackage[latin1]{inputenc}%
+\usepackage[margin=2cm]{geometry}
+\usepackage{pst-coxeterp}
+\usepackage{multido}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+\usepackage{amsmath}
+\usepackage{graphics}
+% d\'emonstration
+% JG Luque 12 août 2003
+\newcount\ChoicePolytope
+\def\S{\mbox{\goth S}}
+\def\Sym{{\bf Sym}}
+\def\sym{{\sl Sym}}
+\def\QSym{{QSym}}
+\def\N{{\mathbb N}}\def\L{{\mathbb L}}
+\def\C{{\mathbb C}}
+\def\Z{{\mathbb Z}}
+\def\R{{\mathbb R}}
+\def\Q{{\mathbb Q}}
+\def\demoPolytopes#1{%}
+\begin{center}
+\ifcase\ichoice\or  \def\polname{$2\{3\}3$}\def\ep{0.5mm}
+ \or \def\polname{$3\{3\}2$}\def\ep{0.3mm}\or
+\def\polname{$3\{3\}3$}\def\ep{0.3mm}\or
+ \def\polname{$3\{4\}2$}\def\ep{0.3mm}\or \def\polname{$3\{4\}4$}\def\ep{0.1mm}
+ \or \def\polname{$3\{4\}3$}\def\ep{0.1mm}\or \def\polname{$4\{3\}4$}\def\ep{0.1mm}\or
+\def\polname{$2\{4\}3\{3\}3$}\def\ep{0.1mm}\or \def\polname{ Hessien}\def\ep{0.1mm}
+ \or  \def\polname{$3\{3\}3\{4\}2$}\def\ep{0.1mm}
+ \or \def\polname{de Witting} \def\ep{0.01mm} \or
+ \def\polname{$3\{8\}2$} \def\ep{0.1mm} \or
+ \def\polname{$2\{8\}3$} \def\ep{0.1mm}  \or
+  \def\polname{$3\{5\}3$} \def\ep{0.1mm}
+ \or\def\polname{$4\{4\}3$} \def\ep{0.1mm}
+ \or\def\polname{$4\{3\}2$} \def\ep{0.1mm}
+ \or\def\polname{$2\{3\}4$} \def\ep{0.1mm}
+ \or\def\polname{$2\{6\}4$} \def\ep{0.1mm}
+ \or\def\polname{$4\{6\}2$} \def\ep{0.1mm}
+  \or\def\polname{$5\{3\}5$} \def\ep{0.1mm}
+  \or\def\polname{$2\{10\}3$} \def\ep{0.1mm}
+  \or\def\polname{$3\{10\}2$} \def\ep{0.1mm}
+  \or\def\polname{$2\{5\}3$} \def\ep{0.1mm}
+  \or\def\polname{$3\{5\}2$} \def\ep{0.1mm}
+  \or\def\polname{$2\{4\}3$} \def\ep{0.1mm}
+  \or\def\polname{$2\{3\}2\{4\}3$} \def\ep{0.1mm}
+   \or\def\polname{$3\{4\}2\{3\}2$} \def\ep{0.1mm}
+   \or\def\polname{$3\{4\}2\{3\}2\{3\}2$} \def\ep{0.1mm}
+   \or\def\polname{$2\{3\}2\{3\}2\{4\}3$} \def\ep{0.1mm}
+   \fi {\Huge Polytope \polname}
+
+\begin{pspicture}(-9,-9)(9,9)
+\psset{unit=3cm,linewidth=0.01mm}
+\CoxeterCoordinates[choice=#1,linewidth=\ep] % par défaut choice=1 (332)
+\end{pspicture}
+
+$\backslash$\texttt{CoxeterCoordinates[choice=#1]}
+\end{center}
+\begin{center}
+\begin{tabular}{ccc}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawvertices=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawcenters=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}
+&
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.7cm}
+\CoxeterCoordinates[drawedges=false,choice=#1,linewidth=0.01mm] %
+\end{pspicture}\\
+\texttt{[drawvertices=false,choice=#1]}
+&
+\texttt{[drawcenters=false,choice=#1]}
+&
+\texttt{[drawedges=false,choice=#1]}
+\end{tabular}
+\end{center}}
+%
+\title{The Gallery of Infinite Series}
+\author{Jean-Gabriel \textsc{Luque}\footnote{Jean-Gabriel.Luque@univ-mlv.fr},
+Manuel \textsc{Luque}\footnote{manuel.luque27@gmail.com}}
+\begin{document}
+\maketitle
+\newpage
+\section{Real polygons}
+There are the polytopes $2\{\frac pq\}2$ (with $p$ and $q$ in $\N$)
+in the notation of Coxeter. Use the command:
+\begin{verbatim}
+\psset{unit=1.5cm}\Polygon[P=p,Q=q]
+\end{verbatim}
+\[\begin{array}{|c|c|c|}
+\hline 2&3&4\\
+\hline \begin{pspicture}(-1.5,-3)(1.5,3)
+\psset{unit=1.5cm}\Polygon[P=2,Q=1]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Polygon[P=3]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Polygon[P=4]
+\end{pspicture}\\
+\hline 5&\frac52&6\\
+\hline \begin{pspicture}(-1.5,-3)(1.5,3)
+\psset{unit=1.5cm}\Polygon[P=5,Q=1]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Polygon[P=5,Q=2]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Polygon[P=6]
+\end{pspicture}\\
+\hline 7&\frac72&\frac73\\
+\hline \begin{pspicture}(-1.5,-3)(1.5,3)
+\psset{unit=1.5cm}\Polygon[P=7]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Polygon[P=7,Q=2]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Polygon[P=10,Q=3]
+\end{pspicture}\\
+\hline
+\end{array}
+\]
+\newpage
+\section{Simplices }
+There are the real polytopes $2\{3\}2\cdots2\{3\}2$ in dimension $n$
+(tetrahedron, pentatope, sextatope etc...) in the notation of
+Coxeter. Use the command:
+\begin{verbatim}
+\psset{unit=1.5cm}\Simplex[dimension=n]
+\end{verbatim}
+\[\begin{array}{|c|c|c|}
+\hline 2&3&4\\
+\hline \begin{pspicture}(-1.5,-3)(1.5,3)
+\psset{unit=1.5cm}\Simplex[dimension=2]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Simplex[dimension=3]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Simplex[dimension=4]
+\end{pspicture}\\
+\hline 5&6&7\\
+\hline \begin{pspicture}(-1.5,-3)(1.5,3)
+\psset{unit=1.5cm}\Simplex[dimension=5]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Simplex[dimension=6]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Simplex[dimension=7]
+\end{pspicture}\\
+\hline 8&9&10\\
+\hline \begin{pspicture}(-1.5,-3)(1.5,3)
+\psset{unit=1.5cm}\Simplex[dimension=8]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Simplex[dimension=9]
+\end{pspicture}&\begin{pspicture}(-3,-3)(3,3)
+\psset{unit=1.5cm}\Simplex[dimension=10]
+\end{pspicture}\\
+\hline
+\end{array}
+\]\newpage
+\section{The infinite series $\gamma_n^p$}
+It is an infinite series of polytopes with two parameters $p$ and
+$n$. The parameter $n$ is the dimension of the polytope. In the
+notation of Coxeter, its name reads $p\{4\}2\{3\}\dots\{3\}2$. In
+the case $p=2$, we recovers the family of the hypercubes. Use the
+command:
+ \begin{verbatim}
+ \gammapn[P=p,dimension=n]
+ \end{verbatim}
+\[\begin{array}{|c|c|c|}
+\hline \gamma_2^2&\gamma_2^3&\gamma_2^4\\
+\hline \begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.2cm}\gammapn[dimension=2,P=2,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.2cm}\gammapn[P=3,dimension=2,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1cm}\gammapn[P=4,dimension=2,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \gamma_3^2&\gamma_3^3&\gamma_3^4\\ \hline
+\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1cm}\gammapn[P=2,dimension=3,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.8cm}\gammapn[P=3,dimension=3,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.7cm}\gammapn[P=4,dimension=3,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \gamma_4^2&\gamma_4^3&\gamma_4^4\\
+\hline \begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.8cm}\gammapn[P=2,dimension=4,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.6cm}\gammapn[P=3,dimension=4,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.55cm}\gammapn[P=4,dimension=4,linewidth=0.01mm]
+\end{pspicture}\\
+\hline
+\end{array}
+\]%
+\newpage
+\section{The infinite series $\beta_n^p$}
+It is an infinite series of polytopes with two parameters $p$ and
+$n$ reciprocals of $\gamma_n^p$. The parameter $n$ is the dimension
+of the polytope. In the notation of Coxeter, its name reads
+$2\{3\}2\{3\}\dots\{3\}2\{4\}p$. In the case $p=2$, we recovers the
+family of the $2^n$-topes which generalizes the tetrahedron for
+higher dimension. Use the command:
+ \begin{verbatim}
+ \betapn[P=p,dimension=n]
+ \end{verbatim}
+\[\begin{array}{|c|c|c|}
+\hline \beta_2^2&\beta_2^3&\beta_2^4\\
+\hline \begin{pspicture}(-2,-3)(2,3)
+\psset{unit=2cm}\betapn[dimension=2,P=2]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betapn[P=3,dimension=2,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.4cm}\betapn[P=4,dimension=2,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \beta_3^2&\beta_3^3&\beta_3^4\\ \hline
+\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=2cm}\betapn[P=2,dimension=3,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betapn[P=3,dimension=3,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.4cm}\betapn[P=4,dimension=3,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \beta_4^2&\beta_4^3&\beta_4^4\\
+\hline \begin{pspicture}(-2,-3)(2,3)
+\psset{unit=2cm}\betapn[P=2,dimension=4,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betapn[P=3,dimension=4,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.4cm}\betapn[P=4,dimension=4,linewidth=0.01mm]
+\end{pspicture}\\
+\hline
+\end{array}
+\]%
+\newpage
+\section{The infinite series $\gamma_2^p$}
+It is a special case of the series $\gamma_n^p$ for $n=2$. In this
+case, the polytopes are complex polygons. The projection used here
+is different than the projection used with {\tt gammapn}. Use the
+command:
+\begin{verbatim}
+\gammaptwo[P=p]
+\end{verbatim}
+\[\begin{array}{|c|c|c|}
+\hline \gamma_2^3&\gamma_2^4&\gamma_2^5\\
+\hline \begin{pspicture}(-2,-3)(2,3) \psset{unit=1cm}\gammaptwo[P=3]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1cm}\gammaptwo[P=4,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1cm}\gammaptwo[P=5,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \gamma_2^6&\gamma_2^7&\gamma_2^8\\ \hline
+\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1cm}\gammaptwo[P=6,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.8cm}\gammaptwo[P=7,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.7cm}\gammaptwo[P=8,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \gamma_2^9&\gamma_2^{10}&\gamma_2^{11}\\
+\hline \begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.8cm}\gammaptwo[P=9,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.7cm}\gammaptwo[P=10,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=0.7cm}\gammaptwo[P=11,linewidth=0.01mm]
+\end{pspicture}\\
+\hline
+\end{array}
+\]%
+\newpage
+\section{The infinite series $\beta_2^p$}
+It is a special case of the series $\beta_n^p$ for $n=2$. In this
+case, the polytopes are complex polygons. The projection used here
+is different than the projection used with {\tt betapn}. Use the
+command:
+\begin{verbatim}
+\betaptwo[P=p]
+\end{verbatim}
+\[\begin{array}{|c|c|c|}
+\hline \beta_2^3&\beta_2^4&\beta_2^5\\
+\hline \begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=3]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=4,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=5,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \beta_2^6&\beta_2^7&\beta_2^8\\ \hline
+\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=6,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=7,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=8,linewidth=0.01mm]
+\end{pspicture}\\
+\hline \beta_2^9&\beta_2^{10}&\beta_2^{11}\\
+\hline \begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=9,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=10,linewidth=0.01mm]
+\end{pspicture}&\begin{pspicture}(-2,-3)(2,3)
+\psset{unit=1.5cm}\betaptwo[P=11,linewidth=0.01mm]
+\end{pspicture}\\
+\hline
+\end{array}
+\]%
+\begin{thebibliography}{ABC}
+%
+\bibitem{Cox1}
+H. S. M. Coxeter, {\em Regular Complex Polytopes}, Second Edition,
+Cambridge University Press, 1991 .
+%
+\end{thebibliography}
+\end{document}
diff --git a/Master/texmf-dist/doc/generic/pst-cox/pst-coxeterp/pst-coxeterp_doc.pdf b/Master/texmf-dist/doc/generic/pst-cox/pst-coxeterp/pst-coxeterp_doc.pdf
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diff --git a/Master/texmf-dist/doc/generic/pst-cox/pst-coxeterp/pst-coxeterp_doc.tex b/Master/texmf-dist/doc/generic/pst-cox/pst-coxeterp/pst-coxeterp_doc.tex
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@@ -0,0 +1,470 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    pst-coxeter_parameter\pst-coxeterp_doc.tex
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      Documentation for the library pst-coxcoor
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\documentclass[a4paper]{article}
+\usepackage[latin1]{inputenc}%
+\usepackage[margin=2cm]{geometry}
+\usepackage{pst-coxeterp}
+\usepackage{multido}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+\usepackage{amsmath}
+\usepackage{graphics}
+% d\'emonstration
+% JG Luque 12 août 2003
+\newtheorem{example}{Example}[section]
+\newcount\ChoicePolytope
+\def\C{{\mathbb C}}
+
+\title{The Library {\tt pst-coxeterp}}
+\author{Jean-Gabriel \textsc{Luque}\footnote{Universit\'e Paris-Est, Laboratoire d'informatique
+de l'Institut-Gaspard Monge, Jean-Gabriel.Luque@univ-mlv.fr}  and
+Manuel
+ \textsc{Luque}\footnote{mluque5130@aol.com}}
+\begin{document}
+\maketitle
+ \begin{abstract}
+ We describe the {\tt LaTex} library {\tt pst-coxeterp} devoted to
+ draw regular complex polytopes belonging in the infinite series.
+ \end{abstract}
+ \section{Introduction}
+ Inspired by the dissertation of G.C. Shephard \cite{Sh}, Coxeter
+ toke twenty years to write his most famous book {\em Regular Complex Polytopes} \cite{Cox}. But its
+ interest for the polytope dates from the beginning of his career as
+ shown his numerous publications on the subject (reader can refer to
+ \cite{Reg} or \cite{Kalei}). According to the preface of
+ \cite{Cox}, the term of complex polytopes is due to D.M.Y.
+ Sommerville \cite{Som}. A complex polytope may have more than two
+ vertices on an edge (and in particular the polygons may have more
+ than two edges at a vertice). It is a finite set of flags of subspaces in $\C^n$
+ with certain constraints
+  which will be not explain here \footnote{For a precise
+  definition, see \cite{Cox} Ch12}.
+  In fact, a complex polytope can be generated  from one vertice by a finite number of pseudo-reflections.
+ More precisely, as for the classical solids, it
+ can be constructed from an arrangement of mirrors,
+ considering a point in the intersection of all but one the mirrors
+ and computing the orbit of this point by the pseudo-reflections generated by the mirrors. In the
+ case of the real polytopes, one uses classical reflections which are
+ involutions. It is not the case for general complex polytopes, since
+ a reflection may include a component which is a rotation.
+The classification of the complex polytopes is due to G.C. Shephard
+\cite{Sh} and is closely related to the classification of the
+complex unitary reflection groups \cite{ST}. This classification
+includes four infinite series of polytopes: the well-known real
+polygons (including the starry polygon) which have two parameters,
+the series of simplices (triangle, tetrahedron, pentatope, sextatope
+etc...) which have only one parameter, the dimension and to
+reciprocal series $\gamma_n^p$ and $\beta_n^p$. The library
+described here is a {\tt LaTex} package for drawing the polytopes of
+these infinite series.
+\section{Install {\tt pst-coxeterp}}
+The package contains two files: A latex style file {\tt
+pst-coxeterp.sty} which call the latex file {\tt pst-coxeterp.tex}
+containing the description of the macros. The installation is very
+simple. It suffices to copy the files {\tt pst-coxeterp.sty} and
+{\tt pst-coxeterp.tex} in the appropriate directories.
+\begin{example}\rm
+The file {\tt pst-coxeterp.sty} may be copy in the directory \\ {\tt
+c:/texmf/tex/latex/pst-coxeterp},\\
+ the file {\tt pst-coxeterp.tex} in\\
+{\tt c:/texmf/tex/generic/pst-coxeterp}
+\end{example}
+To use the package add the code
+\begin{verbatim}
+\usepackage{pst-coxeterp}
+%\end{verbatim}
+in the beginning of your LaTex-file.
+\begin{example}\rm
+\begin{verbatim}
+\documentclass[a4paper]{article}
+...
+\usepackage{pst-coxeterp}
+....
+\end{verbatim}
+\end{example}
+The library needs the packages {\tt PSTrick} and {\tt pst-xkey}.%
+
+\section{The different families}
+This library contains six macros for drawing polytopes belonging in
+a infinite series.\\
+The first macro, {\tt Polygon}, draws real (starry or not) polygon.
+The polygon is defined by two parameters {\tt P} and {\tt Q} which
+defines the angle $2\frac QP\Pi $ between the segment from the
+center to the first vertices and the segment from the center to the
+second vertices. By default the value of {\tt Q} is $1$.
+\begin{example}
+\begin{pspicture}(-2,-2)(2,2)
+\Polygon[P=11,Q=1] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\Polygon[P=11,Q=3]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \Polygon[P=11,Q=4]
+\end{pspicture}
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\Polygon[P=11,Q=1] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\Polygon[P=11,Q=3]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \Polygon[P=11,Q=4]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+The macro {\tt Simplex} draws simplices in dimension $n$. The
+simplices are the real polytopes whose automorphism groups are the
+symmetric groups. The dimension of the polytope can be chosen using
+the parameter {\tt dimension}.
+\begin{example}
+\begin{pspicture}(-2,-2)(2,2)
+\Simplex[dimension=2] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\Simplex[dimension=3]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \Simplex[dimension=5]
+\end{pspicture}
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\Simplex[dimension=2] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\Simplex[dimension=3]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \Simplex[dimension=5]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+The  polytopes $\gamma_n^p$ forms a two parameters family which
+contains as special case the hypercubes.  The parameter $n$ is the
+dimension of the polytope and the parameter $p$ is the number of
+vertices per edge. Use the macro {\tt gammapn} and the parameters
+{\tt dimension} and {\tt P} to chose the characteristics of the
+polytope.
+\begin{example}
+\begin{pspicture}(-2,-2)(2,2)
+\gammapn[dimension=2,P=4] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\gammapn[dimension=3,P=3,unit=0.7cm]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \gammapn[dimension=5,P=2,unit=0.55cm]
+\end{pspicture}
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\gammapn[dimension=2,P=4] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\gammapn[dimension=3,P=3,unit=0.7cm]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \gammapn[dimension=5,P=2,unit=0.55cm]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+The  polytopes $\beta_n^p$ forms a two parameters family which
+contains as special case the hyperoctahedra.  The parameter $n$ is
+the dimension of the polytope and the parameter $p$ is the number of
+cells of dimension $n-1$ containing a cell of dimension $n-2$. Use
+the macro {\tt betapn} and the parameters {\tt dimension} and {\tt
+P} to chose the characteristics of the polytope.
+\begin{example}
+\begin{pspicture}(-2,-2)(2,2)
+\betapn[dimension=2,P=4] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\betapn[dimension=3,P=3]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \betapn[dimension=5,P=2]
+\end{pspicture}
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\betapn[dimension=2,P=4] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\betapn[dimension=3,P=3]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \betapn[dimension=5,P=2]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+The macro {\tt gammaptwo} draw the regular complex polytope
+$\gamma_2^p$ which is a special case of  $\gamma_n^p$ for an other
+projection. Use the parameter {\tt P} for setting the number of
+vertices by edge.
+\begin{example}
+\begin{pspicture}(-2,-2)(2,2)
+\gammaptwo[P=3] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\gammaptwo[P=4]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \gammaptwo[P=5]
+\end{pspicture}
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\gammaptwo[P=3] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\gammaptwo[P=4]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \gammaptwo[P=5]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+The macro {\tt betaptwo} draw the regular complex polytope
+$\beta_2^p$ which is a special case of  $\beta_n^p$ for an other
+projection (the same than for {\tt gammaptwo}). Use the parameter
+{\tt P} for setting the number of vertices by edge.
+\begin{example}
+\begin{pspicture}(-2,-2)(2,2)
+\betaptwo[P=3] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\betaptwo[P=4]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \betaptwo[P=5]
+\end{pspicture}
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\betaptwo[P=3] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\betaptwo[P=4]
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+ \betaptwo[P=5]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+\section{Graphical parameters}
+\subsection{The components of a polytope}
+ The library {\tt pst-coxeterrep.sty} contains  macros for
+drawing the vertices, the edges and the centers of the edges of
+polytopes of the infinite series of regular complex polytopes.
+
+It is possible to choice which components of the polytope will be
+drawn. It suffices to use the boolean parameters {\tt drawedges},
+{\tt drawvertices} and  {\tt drawcenters}.
+
+ By default the values of the parameters {\tt
+drawedges}, {\tt drawvertices}, {\tt drawcenters} are set to {\tt
+true}.
+\begin{example}
+\rm
+\[
+\begin{pspicture}(-2,-2)(2,2)
+\Polygon[P=5,Q=2,drawcenters=false] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\Simplex[dimension=3,drawvertices=false] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5}
+ \gammapn[P=4,dimension=4,drawedges=false]
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\Polygon[P=5,Q=2,drawcenters=false] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\Simplex[dimension=3,drawvertices=false] %
+\end{pspicture}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5}
+ \gammapn[P=4,dimension=4,drawedges=false]
+\end{pspicture}\end{verbatim}
+\end{example}
+\section{Graphical properties}
+It is possible to change the graphical characteristics of a
+polytope.\\
+The size of the polytope depends on the parameter {\tt unit}.
+\begin{example}
+\rm
+ \[
+  \begin{pspicture}(-1,-1)(1,1)
+\gammaptwo[P=4,unit=0.5cm] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\gammaptwo[P=4,unit=1cm] %
+\end{pspicture}
+ \begin{pspicture}(-4,-4)(4,4)
+\gammaptwo[P=4,unit=2cm] %
+\end{pspicture}
+\]
+\begin{verbatim}
+ \begin{pspicture}(-1,-1)(1,1)
+\gammaptwo[P=4,unit=0.5cm] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\gammaptwo[P=4,unit=1cm] %
+\end{pspicture}
+ \begin{pspicture}(-4,-4)(4,4)
+\gammaptwo[P=4,unit=2cm] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+Classically, one can modify the color and the width of the edges
+using the parameter {\tt linecolor} and {\tt linewidth}.
+\begin{example}
+\rm
+ \[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8,linewidth=0.01,linecolor=red}
+\betaptwo[P=5] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\betaptwo[P=5] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.8,linewidth=0.01,linecolor=red}
+\betaptwo[P=5] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\betaptwo[P=5] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+The color, the style and the size of the vertices can be modify
+using the parameters {\tt colorVertices}, {\tt styleVertices} and
+{\tt sizeVertices}. The style of the vertices can be chosen in the
+classical dot styles.
+\begin{example}
+\rm
+ \[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm,colorVertices=blue,styleVertices=pentagon,sizeVertices=0.2}
+\betapn[P=5,dimension=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm,colorVertices=magenta,sizeVertices=0.1,styleVertices=triangle} %
+\betapn[P=5,dimension=4]
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm,colorVertices=red,styleVertices=+,sizeVertices=0.2} %
+\betapn[P=5,dimension=4]
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm,colorVertices=blue,styleVertices=pentagon,sizeVertices=0.2}
+\betapn[P=5,dimension=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm,colorVertices=magenta,sizeVertices=0.1,styleVertices=triangle} %
+\betapn[P=5,dimension=4]
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=1.5cm,colorVertices=red,styleVertices=+,sizeVertices=0.2} %
+\betapn[P=5,dimension=4]
+\end{pspicture}
+\end{verbatim}
+\end{example}
+The color, the style and the size of the centers of the edges can be
+modify using the parameters {\tt colorCenters}, {\tt styleCenters}
+and {\tt sizeCenters}.
+\begin{example}
+\rm
+ \[
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,colorCenters=blue,styleCenters=pentagon,sizeCenters=0.2} %
+\gammapn[P=5,dimension=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,colorCenters=magenta,sizeCenters=0.1,styleCenters=triangle} %
+\gammapn[P=5,dimension=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,colorCenters=red,styleCenters=+,sizeCenters=0.2} %
+\gammapn[P=5,dimension=4] %
+\end{pspicture}
+\]
+\begin{verbatim}
+\begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,colorCenters=blue,styleCenters=pentagon,sizeCenters=0.2} %
+\gammapn[P=5,dimension=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,colorCenters=magenta,sizeCenters=0.1,styleCenters=triangle} %
+\gammapn[P=5,dimension=4] %
+\end{pspicture}
+ \begin{pspicture}(-2,-2)(2,2)
+\psset{unit=0.5cm,colorCenters=red,styleCenters=+,sizeCenters=0.2} %
+\gammapn[P=5,dimension=4] %
+\end{pspicture}
+\end{verbatim}
+\end{example}
+
+ \begin{thebibliography}{ABC}
+
+\bibitem{Reg} H. S. M. Coxeter, {\em Regular polytopes}, Third
+Edition, Dover Publication Inc., New-York, 1973.
+%
+\bibitem{Cox}
+H. S. M. Coxeter, {\em Regular Complex Polytopes}, Second Edition,
+Cambridge University Press, 1991 .
+%
+\bibitem{Kalei}
+ H.S.M. Coxeter, {\em Kaleidoscopes, selected writing of H.S.M.
+ Coxeter by F.A. Sherk, P. McMullen, A.C. Thompson, A. Ivi\'c Weiss}, Canadian Mathematical Society Series of Monographs and
+ Advanced texts, Published in conjunction with the fiftieth anniversary of
+ the canadian mathematical society, J. M. Borwein and P. B. Borwein
+ Ed., A Wiley-Interscience publication, 1995.
+%
+\bibitem{Sh} G.C. Shephard, {\em Regular Complex Polytopes},
+Proceeding of the London Mathermatical Society (3), 2 82-97.
+%
+\bibitem{ST} G.C. Shephard and J.A. Todd, {\it Finite unitary
+reflection groups}, Canadian Journal of Mathematics 6, 274-304,
+1954.
+%
+\bibitem{Som} M.Y. Sommerville, {\it Geometry of $n$ dimension},
+Methuen, Lodon, 1929.
+\end{thebibliography}
+
+ \end{document}
diff --git a/Master/texmf-dist/dvips/pst-cox/pst-coxeter.pro b/Master/texmf-dist/dvips/pst-cox/pst-coxeter.pro
new file mode 100644
index 00000000000..324f86bc3e0
--- /dev/null
+++ b/Master/texmf-dist/dvips/pst-cox/pst-coxeter.pro
@@ -0,0 +1,83406 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    polygonesCoordinate\pst-coxeter.pro
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      Datas for the library pst-coxcoor
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+/cox233datas{%nbaretes := 24;
+%nbsommetspararetes := 2;
+/ListePoints [
+ [0.00600  0.0100]
+ [-1.94 -0.00600] 
+ [1.67 -0.965] 
+ [-0.965  1.68] 
+ [0.0100 -0.00600] 
+ [-0.00600  1.94] 
+ [0.00600 -1.94] 
+ [-0.0100 0.00600] 
+ [0.965  1.67] 
+ [0.00600  0.0100] 
+ [0.965  1.67] 
+ [-1.68 -0.965] 
+ [-1.68 -0.965] 
+ [1.94  0.00600] 
+ [1.67 -0.965] 
+ [0.0100 -0.00600] 
+ [1.94  0.00600] 
+ [-0.00600 -0.0100] 
+ [-0.00600 -0.0100] 
+ [-0.965 -1.67] 
+ [-1.67  0.965] 
+ [0.965 -1.68] 
+ [0.00600 -1.94] 
+ [-0.965  1.68] 
+ [-1.67  0.965] 
+ [-0.0100  0.00600] 
+ [1.68  0.965]
+ [-0.965 -1.67] 
+ [0.965 -1.68]
+ [-0.00600  1.94]
+ [-1.68 -0.965]
+ [0.0100 -0.00600]
+ [1.67 -0.965] 
+ [-1.94 -0.00600] 
+ [-0.00600  1.94] 
+ [-0.965 -1.67]
+ [0.00600  0.0100]
+ [0.965 -1.68]
+ [-1.67  0.965] 
+ [1.94  0.00600]
+ [0.965  1.67]
+ [0.00600 -1.94]
+ [-1.94 -0.00600]
+ [1.68  0.965]
+ [-0.965  1.68]
+ [-0.00600 -0.0100]
+ [-0.0100  0.00600]
+ [1.68  0.965]
+] def
+/ListeFaces [[0 0]] def
+/NbrFaces 1 def
+/ListeCells [[0 0]] def
+/NbrCells 1 def
+/NbrEdges 24 def
+/NbrVerticesInAnEdge 2 def
+}  def
+%
+/cox332datas{%
+%nbaretes := 16
+%nbsommetspararetes := 3 
+/ListePoints [
+[-.766  1.32]
+[-.757  -.203]
+[.557  .566]
+[.300e-2  1.53]
+[-1.32  -.766]
+[1.33  -.766]
+[.566  -.557]
+[-.766  .212]
+[-.766  -1.33]
+[-.203  .757]
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+[-.300e-2  -1.53]
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+[-.300e-2  -1.53]
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+[-.757  -.203]
+[1.53  -.300e-2]
+[.212  .766]
+[.203  -.757]
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+[.766  1.33]
+[-.566  .557]
+[-.766  -1.33]
+[1.53  -.300e-2]
+[-.766  1.32]
+]def
+/ListeFaces [[0 0]] def
+/NbrFaces 1 def
+/ListeCells [[0 0]] def
+/NbrCells 1 def
+/NbrEdges 16 def
+/NbrVerticesInAnEdge 3 def} def
+%
+/cox333datas{%
+%nbaretes := 8
+%nbsommetspararetes := 3
+/ListePoints [
+  [-1. -.5323836407]
+  [0 -2.264434449]
+  [1. -.5323836407]
+  [-1.922115513 0]
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+  [0 2.264434449]
+  [-1.922115513 0]
+  [0 -2.264434449]
+  [1. .5323836407]
+  [-1.922115513 0]
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+  [-1. .5323836407]
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+  [1.922115513 0]
+  [0 2.264434449]
+  [-1. .5323836407]
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+  [1.922115513 0]
+  [-1. .5323836407]
+  [1. .5323836407]
+  [0 2.264434449]
+  [1. .5323836407]
+  [1. -.5323836407]
+  [1.922115513 0]
+  ]def
+  /ListeFaces [[0 0]] def
+/NbrFaces 1 def
+/ListeCells [[0 0]] def
+/NbrCells 1 def
+/NbrEdges 8 def
+/NbrVerticesInAnEdge 3 def
+} def
+%
+/cox342datas{%
+/ListePoints [[-1.054405725 .6087614291]
+ [-1.717232873 -.9914448614]
+  [0 -.7653668647]
+  [1.054405725 .6087614291]
+   [1.717232873 -.9914448614]
+    [0 -.7653668647]
+     [-.6628271482 .3826834323]
+     [0 -1.217522858]
+     [-1.717232873 -.9914448614]
+     [0 1.982889723]
+     [.6628271482 .3826834323]
+     [-1.054405725 .6087614291]
+     [.6628271482 .3826834323]
+     [0 -1.217522858]
+     [1.717232873 -.9914448614]
+     [0 1.982889723]
+     [-.6628271482 .3826834323]
+     [1.054405725 .6087614291]] def
+/ListeFaces [[0 0]] def
+/NbrFaces 1 def
+/ListeCells [[0 0]] def
+/NbrCells 1 def
+/NbrEdges 6 def
+/NbrVerticesInAnEdge 3 def
+} def
+%
+/cox344datas{%
+%nbaretes := 96
+%nbsommetspararetes := 3
+/ListePoints [
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+[.80902 -.58779]
+[-.30902 -.95106]
+[.58779 -.80902]
+[-.80902 -.58779]
+[0 -1.0000]
+[-.58779 -.80902]
+[-.95106 .30902]
+[-.30902 .95106]
+[.58779 .80902]
+[.95106 .30902]
+] def
+/NbrCells 120 def
+/NbrEdges 720 def 
+/NbrVerticesInAnEdge 2 def 
+} def
diff --git a/Master/texmf-dist/tex/generic/pst-cox/pst-coxcoor.tex b/Master/texmf-dist/tex/generic/pst-cox/pst-coxcoor.tex
new file mode 100644
index 00000000000..1cb59e7d978
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pst-cox/pst-coxcoor.tex
@@ -0,0 +1,374 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    polygonesCoordinate\pst-coxcoor.tex
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      Library pst-coxcoor.tex
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\def\fileversion{0.98 Beta}
+\def\filedate{2008/14/01}
+
+\message{`Pst-Coxeter-Coordinates' v\fileversion, \filedate\space
+(Jean-Gabriel Luque and Manuel Luque)}
+
+\csname PstCoxeterCoordinatesLoaded\endcsname
+\let\PstCoxeterCoordinatesLoaded\endinput
+% Require PSTricks and pst-xkey
+\ifx\PSTnodeLoaded\endinput\else\input pstricks.tex\fi
+\ifx\PSTXKeyLoaded\endinput\else\input pst-xkey.tex\fi
+%
+% Catcodes changes.
+\edef\PstAtCode{\the\catcode`\@}
+\catcode`\@=11\relax
+
+\pst@addfams{pst-coxeter}
+ %%% Parameter choice. Allows to choice the polytope. To each integer
+ %%% 0<i<74 corresponds a polytope.
+\define@key[psset]{pst-coxeter}{choice}{%
+\pst@cntg=#1\relax \ifnum\pst@cntg>80 \typeout{choice < or = 80 and
+not `\the\pst@cntg'. Value 1 forced.} \pst@cntg=1
+ \fi
+\edef\psk@pstCoxeter@choice{#1}}
+\psset{choice=1}
+%
+%
+% Graphical parameters
+%
+% Colors
+% Color of Vertices
+% Example: \CoxeterCoordinates[colorVertices=blue,choice=5]
+\define@key[psset]{pst-coxeter}{colorVertices}{%
+\pst@getcolor{#1}\pscolorVertices}
+% by default the color of the vertices is green
+\psset{colorVertices=green}
+% Color of centers
+% Example: \CoxeterCoordinates[colorCenters=blue,choice=5]
+\define@key[psset]{pst-coxeter}{colorCenters}{%
+\pst@getcolor{#1}\pscolorCenters}
+ \psset{colorCenters=blue}
+% Color of centers of the faces
+% Example: \CoxeterCoordinates[colorCentersFaces=blue,choice=5]
+\define@key[psset]{pst-coxeter}{colorCentersFaces}{%
+\pst@getcolor{#1}\pscolorCentersFaces}
+ \psset{colorCentersFaces=red}
+%
+% Color of centers of the Cells
+% Example: \CoxeterCoordinates[colorCentersCells=blue,choice=5]
+\define@key[psset]{pst-coxeter}{colorCentersCells}{%
+\pst@getcolor{#1}\pscolorCentersCells}
+% by default the color of the centers is red.
+\psset{colorCentersCells=magenta}
+%
+%
+% Dot styles
+% style of Vertices
+% Example: \CoxeterCoordinates[styleVertices=*pentagon,P=5]
+\def\psset@styleVertices#1{%
+\@ifundefined{psds@#1}%
+{\@pstrickserr{styleVertices `#1' not defined}\@eha}%
+{\edef\psk@styleVertices{#1}}}
+% by default the vertices are represented by a (empty) circle (styleVertices=o)
+ \psset@styleVertices{o}
+% style of Centers
+% Example: \CoxeterCoordinates[styleCenters=*pentagon,choice=5]
+\def\psset@styleCenters#1{%
+\@ifundefined{psds@#1}%
+{\@pstrickserr{styleCenters `#1' not defined}\@eha}%
+{\edef\psk@styleCenters{#1}}}
+% by default the vertices are represented by a disk (styleVertices=*)
+ \psset@styleCenters{*}
+%
+% style of Centers of the faces
+% Example: \CoxeterCoordinates[styleCentersFaces=*pentagon,choice=5]
+%
+\def\psset@styleCentersFaces#1{%
+\@ifundefined{psds@#1}%
+{\@pstrickserr{styleCentersFaces `#1' not defined}\@eha}%
+{\edef\psk@styleCentersFaces{#1}}}
+%
+% by default the centers of the faces are represented by a disk (styleCentersFaces=*)
+%
+ \psset@styleCentersFaces{*}
+ % style of Centers of the Cells
+% Example: \CoxeterCoordinates[styleCentersCells=*pentagon,choice=5]
+\def\psset@styleCentersCells#1{%
+\@ifundefined{psds@#1}%
+{\@pstrickserr{styleCentersCells `#1' not defined}\@eha}%
+{\edef\psk@styleCentersCells{#1}}}
+% by default the centers of the cells are represented by a disk (stylesCentersCells=*)
+ \psset@styleCentersCells{*}
+%
+%
+% Dot sizes
+% Size of vertices
+% Example: \CoxeterCoordinates[sizeVertices=0.1,choice=5]
+\newdimen\pssizeVertices
+\def\psset@sizeVertices#1{\pssetlength\pssizeVertices{#1}}
+\psset@sizeVertices{0.05}
+% Sizes of centers
+% Example: \CoxeterCoordinates[sizeCenters=0.1,choice=5]
+\newdimen\pssizeCenters
+\def\psset@sizeCenters#1{\pssetlength\pssizeCenters{#1}}
+\psset@sizeCenters{0.05}
+%
+% Sizes of centers of the faces
+% Example: \CoxeterCoordinates[sizeCentersFaces=0.1,choice=5]
+%
+\newdimen\pssizeCentersFaces
+\def\psset@sizeCentersFaces#1{\pssetlength\pssizeCentersFaces{#1}}
+\psset@sizeCentersFaces{0.05}
+%
+% Sizes of centers of the cells
+% Example: \CoxeterCoordinates[sizeCentersCells=0.1,choice=5]
+%
+\newdimen\pssizeCentersCells
+\def\psset@sizeCentersCells#1{\pssetlength\pssizeCentersCells{#1}}
+\psset@sizeCentersCells{0.05}%
+%
+\newif\ifPst@drawvertices
+\define@key[psset]{pst-coxeter}{drawvertices}[true]{%
+\@nameuse{Pst@drawvertices#1}}
+%
+\newif\ifPst@drawedges
+\define@key[psset]{pst-coxeter}{drawedges}[true]{%
+\@nameuse{Pst@drawedges#1}}
+%
+\newif\ifPst@drawcenters
+\define@key[psset]{pst-coxeter}{drawcenters}[true]{%
+\@nameuse{Pst@drawcenters#1}}
+%
+%
+\newif\ifPst@drawcentersfaces
+\define@key[psset]{pst-coxeter}{drawcentersfaces}[false]{%
+\@nameuse{Pst@drawcentersfaces#1}}
+%
+%
+\newif\ifPst@drawcenterscells
+\define@key[psset]{pst-coxeter}{drawcenterscells}[false]{%
+\@nameuse{Pst@drawcenterscells#1}}
+%
+\psset{drawvertices=true,drawedges=true,drawcenters=true}
+%
+%% Prologue for postscript
+\pstheader{pst-coxeter.pro}
+%
+% definition if the macro \CoxeterCoordinates
+%
+\def\CoxeterCoordinates{\pst@object{CoxeterCoordinates}}
+\def\CoxeterCoordinates@i{\@ifnextchar[{\CoxeterCoordinates@do}{\CoxeterCoordinates@do[]}}
+\def\CoxeterCoordinates@do[#1]{{%
+\psset{#1}%
+\begin@ClosedObj
+\addto@pscode{%
+%
+% List of the polytopes
+% The option choice allows to choice the polytope
+% Each values of choice corresponds to a variable cox***datas
+% The variables cox***datas are defined in the file pst-coxcoor.pro
+%
+/choice \the\pst@cntg\space def
+ choice 1 eq {cox233datas} if
+ choice 2 eq {cox332datas} if
+ choice 3 eq {cox333datas} if
+ choice 4 eq {cox342datas} if
+ choice 5 eq {cox344datas} if
+ choice 6 eq {cox343datas} if
+ choice 7 eq {cox434datas} if
+ choice 8 eq {cox24333datas} if
+ choice 9 eq {cox33333datas} if
+ choice 10 eq {cox33342datas} if
+ choice 11 eq {cox3333333datas} if
+ choice 12 eq {cox382datas} if
+ choice 13 eq {cox283datas} if
+ choice 14 eq {cox353datas} if
+ choice 15 eq {cox443datas} if
+ choice 16 eq {cox432datas} if
+ choice 17 eq {cox234datas} if
+ choice 18 eq {cox264datas} if
+ choice 19 eq {cox462datas} if
+ choice 20 eq {cox535datas} if
+ choice 21 eq {cox2103datas} if
+ choice 22 eq {cox3102datas} if
+ choice 23 eq {cox253datas} if
+ choice 24 eq {cox352datas} if
+ choice 25 eq {cox243datas} if
+ choice 26 eq {cox23243datas} if
+ choice 27 eq {cox34232datas} if
+ choice 28 eq {cox3423232datas} if
+ choice 29 eq {cox2323243datas} if
+ choice 30 eq {cox23252datas} if
+ choice 31 eq {cox25232datas} if
+ choice 32 eq {cox2323242datas} if
+ choice 33 eq {cox2423232datas} if
+ choice 34 eq {cox2324232datas} if
+ choice 35 eq {cox2323252datas} if
+ choice 36 eq {cox2523232datas} if
+ choice 37 eq {cox3523datas} if %
+ choice 38 eq {cox5525datas} if
+ choice 39 eq {cox2523datas} if
+  choice 40 eq {cox3522datas} if
+  choice 41 eq {cox31032datas} if
+  choice 42 eq {cox21033datas} if
+  choice 43 eq {cox3832datas} if
+ choice 44 eq {cox2833datas} if
+  choice 45 eq {cox562datas} if
+  choice 46 eq {cox265datas} if
+  choice 47 eq {cox4833datas} if
+  choice 48 eq {cox3834datas} if
+   choice 49 eq {cox552datas} if
+  choice 50 eq {cox255datas} if
+   choice 51 eq {cox51032datas} if
+  choice 52 eq {cox21035datas} if
+   choice 53 eq {cox532datas} if
+  choice 54 eq {cox235datas} if
+ choice 55 eq {cox542datas} if
+  choice 56 eq {cox245datas} if
+choice 57 eq {cox51033datas} if
+  choice 58 eq {cox31035datas} if
+  choice 59 eq {cox543datas} if
+  choice 60 eq {cox345datas} if
+choice 61 eq {cox533datas} if
+  choice 62 eq {cox335datas} if
+  choice 63 eq {cox5523datas} if
+  choice 64 eq {cox3525datas} if
+    choice 65 eq {cox252232datas} if
+       choice 66 eq {cox232522datas} if
+    choice 67 eq {cox252252datas} if
+       choice 68 eq {cox252522datas} if
+          choice 69 eq {cox263datas} if
+       choice 70 eq {cox362datas} if
+       choice 71 eq {cox25223232datas} if
+       choice 72 eq {cox23232522datas} if
+       choice 73 eq {cox23252252datas} if
+      choice 74 eq {cox23252522datas} if
+      choice 75 eq {cox25223252datas} if
+      choice 76 eq {cox25225232datas} if
+      choice 77 eq {cox25232522datas} if
+      choice 78 eq {cox25252232datas} if
+    choice 79 eq {cox25252252datas} if
+    choice 80 eq {cox252252522datas} if
+       %%%     <-- add new polytope here
+ 0 0 translate
+ %%% Usefull definitions
+/pscolorVertices {\pst@usecolor\pscolorVertices currentrgbcolor} def
+/pscolorCenters {\pst@usecolor\pscolorCenters currentrgbcolor} def
+ /pscolorCentersFaces {\pst@usecolor\pscolorCentersFaces currentrgbcolor} def
+ /pscolorCentersCells {\pst@usecolor\pscolorCentersCells currentrgbcolor} def
+/unit \pst@number\psunit\space def % pts -> cm
+/unit \pst@number\psunit\space def % pts -> cm
+1 setlinejoin
+ %%%% Drawing the edges
+\ifPst@drawedges
+       0 1 NbrEdges 1 sub { % from 0 to nbedges-1 (draw all the edges)
+      /CompteurVertices ED
+      /CompteurIntermediaireSommets CompteurVertices NbrVerticesInAnEdge mul
+      def
+newpath ListePoints CompteurIntermediaireSommets get aload pop
+  /Y exch def /X exch def
+   X unit mul Y unit mul moveto
+1 1 NbrVerticesInAnEdge 1 sub { % from 1 to nbvertices in an edge -1
+    /CompteurEdges ED
+ListePoints CompteurIntermediaireSommets CompteurEdges add get aload
+pop
+  /Y exch def /X exch def
+   X unit mul Y unit mul lineto
+  }
+  for
+closepath stroke } for \fi %
+ %%%% Drawing of the Vertices
+/DS \pst@number\pssizeVertices\space def
+\@nameuse{psds@\psk@styleVertices}%
+\ifPst@drawvertices
+% We draw all the vertices of all edges
+0 1 NbrEdges NbrVerticesInAnEdge mul 1 sub { % From 0 to nbEdges*NbVerticesInEdges-1
+/CompteurEdges ED
+  ListePoints CompteurEdges get aload pop
+  /Y exch def /X exch def
+  pscolorVertices
+  X unit mul Y unit mul
+  Dot
+  stroke
+} for
+ \fi
+%
+% Drawing of the Centers of the Faces
+%
+/DS \pst@number\pssizeCentersFaces\space def
+\@nameuse{psds@\psk@styleCentersFaces}%
+\ifPst@drawcentersfaces
+0 1 NbrFaces 1 sub{ % from 0 to NbrFaces-1
+/CompteurFaces ED
+  ListeFaces CompteurFaces get aload pop
+  /Y exch def /X exch def
+  pscolorCentersFaces
+  X unit mul Y unit mul
+ Dot
+ stroke
+} for
+ \fi
+%
+% Drawing the centers of the Cells
+%
+/DS \pst@number\pssizeCentersCells\space def
+\@nameuse{psds@\psk@styleCentersCells}%
+\ifPst@drawcenterscells
+0 1 NbrCells 1 sub{ % from 0 to nbCells-1
+/CompteurCells ED
+  ListeCells CompteurCells get aload pop
+  /Y exch def /X exch def
+  pscolorCentersCells
+  X unit mul Y unit mul
+  Dot
+  stroke
+} for \fi
+%
+% Drawing the centers of the Edges
+%
+ /DS \pst@number\pssizeCenters\space def
+\@nameuse{psds@\psk@styleCenters}%
+\ifPst@drawcenters
+0 1 NbrEdges 1 sub { % from 0 to NbrEdges -1
+      /CompteurVertices ED
+      /CompteurIntermediaireSommets CompteurVertices NbrVerticesInAnEdge mul
+      def
+      /XM 0 def /YM 0 def
+0 1 NbrVerticesInAnEdge 1 sub { %
+    /CompteurEdges ED
+  ListePoints CompteurEdges CompteurIntermediaireSommets add get aload pop
+  /Y ED /X ED
+  /XM XM X add def
+  /YM YM Y add def
+  }
+  for
+ pscolorCenters
+  XM NbrVerticesInAnEdge div unit mul YM NbrVerticesInAnEdge div unit mul %1.5 0 360 arc
+   Dot
+  stroke
+} for \fi
+}%
+\end@ClosedObj
+}}
+\catcode`\@=\PstAtCode\relax
+\endinput
+%%
+%% END: pst-coxeter3.tex
diff --git a/Master/texmf-dist/tex/generic/pst-cox/pst-coxeterp.tex b/Master/texmf-dist/tex/generic/pst-cox/pst-coxeterp.tex
new file mode 100644
index 00000000000..32cccc28889
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pst-cox/pst-coxeterp.tex
@@ -0,0 +1,986 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    pst-coxeter_parameter\pst-coxeterp.tex
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      Listing of the macros of pst-coxeterp
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\def\fileversion{0.98 Beta}
+\def\filedate{2008/21/01}
+
+\message{`pst-Coxeter-parameter' v\fileversion, \filedate\space
+(Jean-Gabriel Luque and Manuel Luque)}
+
+\csname PstCoxeterLoaded\endcsname
+\let\PstCoxeter\endinput
+% Require PSTricks and pst-xkey
+\ifx\PSTnodeLoaded\endinput\else\input pstricks.tex\fi
+\ifx\PSTXKeyLoaded\endinput\else\input pst-xkey.tex\fi
+%
+% Catcodes changes.
+\edef\PstAtCode{\the\catcode`\@}
+\catcode`\@=11\relax
+%
+%define the family of parameters pst-coxeter-parameter
+%
+\pst@addfams{pst-coxeter-parameter}
+%
+% There is two parameters P and Q which encodes the angle
+% between the mirrors. The parameter P is used for the regular polygons
+% the polytopes gamma^p_n, beta^p_n, gamma^p_2 and beta^p_2
+% Example: \Polygon[P=5]
+%
+\define@key[psset]{pst-coxeter-parameter}{P}{%
+\edef\psk@pstCoxeter@P{#1}}
+%
+\psset{P=6}
+%
+% The parameter Q is used for starry regular polygon.
+% Example: \Polygon[P=5,Q=2]
+%
+\define@key[psset]{pst-coxeter-parameter}{Q}{%
+\edef\psk@pstCoxeter@Q{#1}}
+%
+%
+\psset{Q=1}
+%
+% The dimension is used for simplices, polytopes gamma^p_n and beta^p_n
+% Example: \Simplex[dimension=4]
+%
+\define@key[psset]{pst-coxeter-parameter}{dimension}{%
+\edef\psk@pstCoxeter@dimension{#1}}
+\psset{dimension=3}
+%
+% Graphical parameters
+%
+% Colors
+% Color of Vertices
+% Example: \Polygon[colorVertices=blue,P=5]
+\define@key[psset]{pst-coxeter-parameter}{colorVertices}{%
+\pst@getcolor{#1}\pscolorVertices}
+% by default the color of the vertices is green
+\psset{colorVertices=green}
+% Color of centers
+% Example: \Polygon[colorCenters=blue,P=5]
+\define@key[psset]{pst-coxeter-parameter}{colorCenters}{%
+\pst@getcolor{#1}\pscolorCenters}
+%
+% by default the color of the centers is red.
+\psset{colorCenters=red}
+%
+%
+% Dot styles
+% style of Vertices
+% Example: \Polygon[styleVertices=*pentagon,P=5]
+\def\psset@styleVertices#1{%
+\@ifundefined{psds@#1}%
+{\@pstrickserr{styleVertices `#1' not defined}\@eha}%
+{\edef\psk@styleVertices{#1}}}
+% by default the vertices are represented by a (empty) circle (styleVertices=o)
+ \psset@styleVertices{o}
+% style of Centers
+% Example: \Polygon[styleCenters=*pentagon,P=5]
+\def\psset@styleCenters#1{%
+\@ifundefined{psds@#1}%
+{\@pstrickserr{styleCenters `#1' not defined}\@eha}%
+{\edef\psk@styleCenters{#1}}}
+% by default the vertices are represented by a disk (styleVertices=*)
+ \psset@styleCenters{*}
+%
+% Dot sizes
+% Size of vertices
+% Example: \Polygon[sizeVertices=0.1,P=5]
+\newdimen\pssizeVertices
+\def\psset@sizeVertices#1{\pssetlength\pssizeVertices{#1}}
+\psset@sizeVertices{0.05}
+% Sizes of centers
+% Example: \Polygon[sizeCenters=0.1,P=5]
+\newdimen\pssizeCenters
+\def\psset@sizeCenters#1{\pssetlength\pssizeCenters{#1}}
+\psset@sizeCenters{0.05}
+%
+% Boolean parameters
+%
+% The vertices are drawn only if the value of drawvertices is true
+% Examples: \Polygon[drawvertices=false,P=5]
+
+\newif\ifPst@drawvertices
+\define@key[psset]{pst-coxeter-parameter}{drawvertices}[true]{%
+\@nameuse{Pst@drawvertices#1}}
+%
+% The edges are drawn only if the value of drawedges is true
+% Examples: \Polygon[drawedges=false,P=5]
+%
+\newif\ifPst@drawedges
+\define@key[psset]{pst-coxeter-parameter}{drawedges}[true]{%
+\@nameuse{Pst@drawedges#1}}
+%
+%%
+% The centers are drawn only if the value of drawcenters is true
+%% Examples: \Polygon[drawcenters=false,P=5]
+%
+\newif\ifPst@drawcenters
+\define@key[psset]{pst-coxeter-parameter}{drawcenters}[true]{%
+\@nameuse{Pst@drawcenters#1}}
+%
+% By default the vertices, edges and centers are drawn.
+%
+%\setkeys{psset}{drawvertices=true,drawedges=true,drawcenters=true}
+\psset{drawvertices=true,drawedges=true,drawcenters=true}
+%
+% All the polytopes are encoded with the same way.
+% For each kind of polytope, we have wrote three procedures:
+%                           /drawVertices which allows to draw the vertices of the polytope
+%                           /drawEdges which allows to draw the edges of the polytope
+%                           /drawCenter which allows to draw the centers of the edges of the polytope
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%% LIST OF THE POLYTOPES
+%%
+%                                   Regular real polygons
+%
+%
+% It is a well known family of polytope with two parameters P and Q.
+% This is the set of the classical polygons whose symmetric groups are dihedral 2[p]2.
+% Use the macro \Polygon[P=p,Q=q] draw the polygon 2{p/q}2 in the notation of Coxeter.
+% The non starry real polygons are obtained when Q=1
+% The starry polygon are obtained when Q do not divided P
+%
+% Example:
+% \Polygon[P=5] draw a pentagone
+% \Polygon[P=5,Q=2] draw a regular star with five vertices.
+\def\Polygon{\pst@object{Polygon}}
+\def\Polygon@i{\@ifnextchar[{\Polygon@do}{\Polygon@do[]}}
+\def\Polygon@do[#1]{{%
+\pst@killglue
+\setkeys{psset}{#1}%
+\begin@ClosedObj
+\addto@pscode{%
+%%%% macro for the colors of the vertices and the centers
+/pscolorVertices {\pst@usecolor\pscolorVertices currentrgbcolor} def
+/pscolorCenters {\pst@usecolor\pscolorCenters currentrgbcolor} def
+ 0 0 translate
+%%% some usefull definition
+/unit \pst@number\psunit\space def % pts -> cm
+/Pi 180 def %%% use Pi instead of 180°
+/p \psk@pstCoxeter@P\space def % parameter P
+/q \psk@pstCoxeter@Q\space def % parameter Q
+/p_1 p 1 sub def % p-1
+1 setlinejoin CLW setlinewidth%
+%%%%% List of the vertices
+%%%%%
+ /TableauxPoints [
+0 1 p 1 add {%
+    /n exch def
+    [
+             2 n Pi q mul mul mul p div cos    % cos(2nqPi/p)
+             unit mul % pts to cm
+             2 n Pi q mul mul mul p div sin   % sin(2nPi/p)
+             unit mul % pts to cm
+    ]
+   } for
+] def
+%
+%
+%%%% Procedures
+%
+%  /drawEdges: this procedure draws the edges
+%
+/drawEdges { 0 1 p  {
+        /n exch def
+        TableauxPoints n get aload pop
+        /YL ED /XL ED
+        XL YL moveto % move to the point n of the array
+        TableauxPoints n  1 add  get aload pop
+        lineto % draw a line from the point n to the point n+1
+        stroke
+       } for
+} def \ifPst@drawedges
+    drawEdges
+    stroke
+\fi
+ %%%%%%%%%%%%%%%%%%
+ % /drawVertices:this procedure draw the vertices
+ %
+ %
+/DS \pst@number\pssizeVertices\space def
+\@nameuse{psds@\psk@styleVertices}%
+/drawVertices {%
+    /Liste exch def
+     0 1 p  {
+    /compteur exch def
+    pscolorVertices
+    Liste compteur get aload pop
+    Dot
+    } for
+} def \ifPst@drawvertices
+    TableauxPoints drawVertices
+\fi
+ %%%%%%%%%%%%%%
+% /drawCenters : draw the centers of the edges
+%
+/DS \pst@number\pssizeCenters\space def
+\@nameuse{psds@\psk@styleCenters}%
+/drawCenters {
+ 0 1 p  {
+        /n exch def
+        TableauxPoints n  get aload pop
+        /YL ED /XL ED
+        TableauxPoints n 1 add  get aload pop
+        /YR ED /XR ED
+        /YM YL YR add 2 div def % YM = (YL+YR)/2
+        /XM XL XR add 2 div def % XM = (XL+XR)/2
+         pscolorCenters
+            XM YM
+            Dot
+        stroke
+}for
+ } def
+\ifPst@drawcenters
+    drawCenters
+\fi
+}%
+\end@ClosedObj
+}}
+%
+%%%%%%%%%%%%%%%%%%% The simplices
+% Simplices are the real regular polytopes whose
+% roots system is A_{n+1}. The reflection groups which generates
+% it is the symmetric group (order (n+1)!).
+% Simplices are auto-reciprocal polytopes. The first examples are the tetrahedral (for dimension 2),
+% the pentatope (in dimension 4), the sextatope in dimension 5 etc.
+% In general the number of cells of dimension m ($m<n$) is equal to the binomial $\left(n+1\atop m+1\right)$.
+% Each cell is a simplex of dimension $m$.
+% For example, the tetrahedral has $4$ vertices, $6$ edges and $4$ faces; the pentatope has $5$ vertices, $10$ edges,
+% $10$ faces and $5$ cells of dimension $3$.
+%
+% Use the macro \Simplex to draw the projection of a simplex.
+% Use the parameter dimension to choose the dimension of the simplex.
+%
+% Example: \Simplex[dimension=5]
+%
+\def\Simplex{\pst@object{Simplex}}
+\def\Simplex@i{\@ifnextchar[{\Simplex@do}{\Simplex@do[]}}
+\def\Simplex@do[#1]{{%
+\pst@killglue
+\setkeys{psset}{#1}%
+\begin@ClosedObj
+\addto@pscode{%
+% Some usefull definitions
+/pscolorVertices {\pst@usecolor\pscolorVertices currentrgbcolor} def
+/pscolorCenters {\pst@usecolor\pscolorCenters currentrgbcolor} def 0
+0 translate
+/unit \pst@number\psunit\space def % pts -> cm
+/Pi 180 def
+/p \psk@pstCoxeter@dimension\space 1 add def % dimension of the space plus 1
+/p_1 p 1 sub def % dimension of the space
+1 setlinejoin CLW setlinewidth%
+%%%% Computation if the array of the Vertices
+ /TableauxPoints [
+0 1 p 1 add {% for n from 0 to p+1
+    /n exch def
+    1 1 p 1 sub{ % for m from 1 to p+1
+       /m exch def
+    [
+             2 n Pi mul mul p div cos    % cos(2nPi/p)
+             unit mul % pts to cm
+             2 n Pi mul mul p div sin   % sin(2nPi/p)
+             unit mul % pts to cm
+    ]
+    [
+             2 n m add Pi mul mul p div cos    % cos(2nPi/p)
+             unit mul % pts to cm
+             2 n m add Pi mul mul p div sin   % sin(2nPi/p)
+             unit mul % pts to cm
+    ]
+    }for
+   } for
+] def
+%
+%%%%%% Procedure
+%  /drawEdges : draw the edges of the simplex
+%  One use the array TableauxPoints
+/drawEdges { 0 1 p p mul  { % for n from 0 to p^2
+        /n exch def
+        TableauxPoints n 2 mul get aload pop % the point 2n of the array
+        /YL ED /XL ED
+        XL YL moveto
+        TableauxPoints n  2 mul 1 add  get aload pop % the point 2n+1 of the array
+        lineto
+        stroke
+       } for
+} def \ifPst@drawedges
+    drawEdges
+    stroke
+\fi
+%
+% /drawVertices : draw the vertices of the simplex
+%
+/DS \pst@number\pssizeVertices\space def% define  the size of the dots
+\@nameuse{psds@\psk@styleVertices}% style of the dots
+/drawVertices {%
+    /Liste exch def
+     0 1 p p mul { % for compteur from 0 to p^2
+    /compteur exch def
+    pscolorVertices % color of the parameters colorVertices
+        Liste compteur get aload pop
+    Dot % draw a dot
+    } for
+} def \ifPst@drawvertices
+    TableauxPoints drawVertices % apply drawVertices to TableauxPoints
+\fi
+%
+% /drawCenters : draw the centers of the simplex
+%
+/DS \pst@number\pssizeCenters\space def % define  the size of the dots
+\@nameuse{psds@\psk@styleCenters}% style of the dots
+/drawCenters {
+ 0 1 p p mul { % from n from 0 to p^2
+        /n exch def
+        TableauxPoints n 2 mul get aload pop % point $2n$ of TableauxPoints
+        /YL ED /XL ED
+        TableauxPoints n 2 mul 1 add  get aload pop % point $2n+1$ of TableauxPoints
+        /YR ED /XR ED
+        /YM YL YR add 2 div def % YM:=(YL+YZ)/2
+        /XM XL XR add 2 div def % XM:=(XY+XZ)/2
+        pscolorCenters
+            XM YM
+         Dot
+        stroke
+}for
+ } def
+\ifPst@drawcenters
+    drawCenters
+\fi
+}
+\end@ClosedObj
+}}
+%
+%%%%%%%%%%%%%%%%%% The polytopes $\gamma^p_n$
+% These polytopes are complex polytopes $p\{4\}2\{3\}2\dots 2\{3\}2$ in the notation of Coxeter.
+% This means that their symmetric group is a $n!p$ order group generated by $n$ reflections
+% with relations $R_1^p=R_2^2=\dots R_n^2=Id$
+% $R_1R_2R_1R_2=R_2R_1R_2R_1$, $R_iR_{i+1}R_i=R_{i+1}R_i$ if i>1, $R_iR_j=R_jR_i$ if $|i-j|>1$.
+% Such a complex polytope has $\left(n\atop m\right)p^n$ cells of dimension $m$ ($m<n$) which are
+% complex polytopes $\gamma^p_m$.
+% When $p=2$, the polytope $\gamma^2_n$ is an hypercube.
+% When $p>2$, the polytope is not a real polytope since $R_1^2\neq Id$.
+% In this case, the edges are regular polygons with $p$ vertices.
+% When $n=2$, the projection is not convenient since the projection of some vertices are the same.
+% For an other projection, use the macro \gammaptwo described below.
+%
+% The two parameters are the dimension and $p$.
+%
+% Use the macro \gammapn[dimension=...,P=...] to draw the projection of a polytope $\gamma^p_n$.
+%
+% Example : \gammapn[dimension=5,P=4]
+%
+\def\gammapn{\pst@object{gammapn}}
+\def\gammapn@i{\@ifnextchar[{\gammapn@do}{\gammapn@do[]}}
+\def\gammapn@do[#1]{{%
+\pst@killglue
+\setkeys{psset}{#1}%
+\begin@ClosedObj
+\addto@pscode{%
+%%% Some usefull definitions
+/pscolorVertices {\pst@usecolor\pscolorVertices currentrgbcolor} def
+ /pscolorCenters {\pst@usecolor\pscolorCenters currentrgbcolor} def
+0 0 translate
+/unit \pst@number\psunit\space def % pts -> cm
+/Pi 180 def
+/p \psk@pstCoxeter@P\space def % parameter p
+%/p 3 def
+/n \psk@pstCoxeter@dimension\space def% dimension
+/n_1 n 1 sub def % n-1
+/p_1 p 1 sub def % p-1
+1 setlinejoin CLW setlinewidth%
+%
+%
+%    The procedures
+%
+% /drawEdges : draw the edges of the polytopes
+/drawEdges { /pow2 1 def
+ 1 1 n_1 {/pop %for from 1 to n-1
+   /pow2 pow2 p  mul def%
+    } for % compute p^{n-1}
+%
+    1 1 n  {% for i from 1 to n
+    /i exch def
+     0 1 pow2  1 sub { % for j from  0 to p^{n-1}-1
+            /j exch def
+            /num j def % num := j
+            /s1 0 def  % s1 := 0
+            /s2 0 def  % s2 := 0
+            1 1 i 1 sub {% for k from  1 to i-1
+               /k exch def
+               /c unit k n num mul add 2 Pi mul mul p div n div  cos  mul def% c := cos( (p*num+k)*2*Pi/p/n)*unit
+               /s unit k n num mul add 2 Pi mul mul p div n div  sin  mul def% s := sin( (p*num+k)*2*Pi/p/n)*unit
+               /s1 s1 c add def %s1 := s1+c
+               /s2 s2 s add def %s2 := s2+s
+               /num num p idiv def % num := num/p
+            } for
+           i 1 add 1 n {% for k from  i+1 to  n
+               /k exch def
+               /c unit k n num mul add 2 Pi mul mul p div n div  cos  mul def% c := cos( (p*num+k)*2*Pi/p/n)*unit
+               /s unit k n num mul add 2 Pi mul mul p div n div  sin  mul def% s := sin( (p*num+k)*2*Pi/p/n)*unit
+               /s1 s1 c add def %s1 := s1+c
+               /s2 s2 s add def %s2 := s2+s
+               /num num p idiv def % num := num/p
+            } for
+      /x unit i 2 Pi mul mul p  div n div cos mul s1 add def %x := s1+unit*cos(2*i*Pi/p/n)
+      /y unit i 2 Pi mul mul p  div n div sin mul s2 add def %y := s2+unit*sin(2*i*Pi/n)
+       x y moveto %
+       0 1 p  { % from jj from 0 to p
+       /jj exch def
+       /x unit i jj n mul add 2 Pi mul mul n div p div cos mul s1 add def %x := s1+unit*cos((i+jj*n)*Pi*2/p/n)
+       /y unit i jj n mul add 2 Pi mul mul n div p div sin mul s2 add def %y := s2+unit*sin((i+jj*n)*Pi*2/p/n)
+       x y lineto
+       } for
+        stroke
+}for
+   } for
+   stroke
+} def \ifPst@drawedges
+    drawEdges
+    stroke
+\fi
+%
+% \drawVertices : draw the vertices of the polytopes
+%
+% Almost the same procedure than \drawEdges
+/DS \pst@number\pssizeVertices\space def
+\@nameuse{psds@\psk@styleVertices}%
+/drawVertices   {%
+ /pow2 1 def
+ 1 1 n_1 {/pop
+   /pow2 pow2 p  mul def%
+    } for
+%
+    1 1 n  {%
+    /i exch def
+     0 1 pow2  1 sub { % for j from 0 to p^{n-1}-1
+            /j exch def
+            /num j def
+            /s1 0 def
+            /s2 0 def
+            1 1 i 1 sub {% for k from  1 to i-1
+               /k exch def
+               /c unit k n num mul add 2 Pi mul mul p div n div  cos  mul def% cos( (p*num+k)*2*Pi/p/n)*unit
+               /s unit k n num mul add 2 Pi mul mul p div n div  sin  mul def% sin( (p*num+k)*2*Pi/p/n)*unit
+               /s1 s1 c add def %s1=s1+c
+               /s2 s2 s add def %s2=s2+s
+               /num num p idiv def % num:=num/p
+            } for
+           i 1 add 1 n {% for k from i+1 to n
+               /k exch def
+               /c unit k n num mul add 2 Pi mul mul p div n div  cos  mul def% cos( (p*num+k)*2*Pi/p/n)*unit
+               /s unit k n num mul add 2 Pi mul mul p div n div  sin  mul def% sin( (p*num+k)*2*Pi/p/n)*unit
+               /s1 s1 c add def %s1=s1+c
+               /s2 s2 s add def %s2=s2+s
+               /num num p idiv def % num:=num/p
+            } for
+      /x unit i 2 Pi mul mul p  div n div cos mul s1 add def %x:=s1+unit*cos(2*i*Pi/p/n)
+      /y unit i 2 Pi mul mul p  div n div sin mul s2 add def
+       pscolorVertices
+       x y
+       Dot
+       0 1 p { % for jj from 0 to p
+       /jj exch def
+       /x unit i jj n mul add 2 Pi mul mul n div p div cos mul s1 add def%x:=s1+unit*cos((i+jj*n)*Pi*2/p/n)
+       /y unit i jj n mul add 2 Pi mul mul n div p div sin mul s2 add def
+        pscolorVertices
+       x y
+        Dot
+       } for
+        stroke
+}for
+   } for
+   stroke
+} def \ifPst@drawvertices
+    %Tableaaux
+     drawVertices
+\fi
+%
+% \drawCenters : draw the centers of the  edges of the polytopes
+%
+% Almost the same procedure than \drawEdges
+/DS \pst@number\pssizeCenters\space def
+\@nameuse{psds@\psk@styleCenters}%
+/drawCenters {
+ /pow2 1 def
+ 1 1 n_1 {/pop
+   /pow2 pow2 p  mul def%
+    } for
+%
+    1 1 n  {%
+    /i exch def
+     0 1 pow2  1 sub { % for j from 0 to p^{n-1}-1
+            /j exch def
+            /num j def
+            /s1 0 def
+            /s2 0 def
+            1 1 i 1 sub {% for k from 1 to i-1
+               /k exch def
+               /c unit k n num mul add 2 Pi mul mul p div n div  cos  mul def% cos( (p*num+k)*2*Pi/p/n)*unit
+               /s unit k n num mul add 2 Pi mul mul p div n div  sin  mul def% sin( (p*num+k)*2*Pi/p/n)*unit
+               /s1 s1 c add def %s1=s1+c
+               /s2 s2 s add def %s2=s2+s
+               /num num p idiv def % num:=num/p
+            } for
+           i 1 add 1 n {% for k from i+1 à n
+               /k exch def
+               /c unit k n num mul add 2 Pi mul mul p div n div  cos  mul def% cos( (p*num+k)*2*Pi/p/n)*unit
+               /s unit k n num mul add 2 Pi mul mul p div n div  sin  mul def% sin( (p*num+k)*2*Pi/p/n)*unit
+               /s1 s1 c add def %s1=s1+c
+               /s2 s2 s add def %s2=s2+s
+               /num num p idiv def % num:=num/p
+            } for
+       /x unit i 2 Pi mul mul p  div n div cos mul s1 add def %x:=s1+unit*cos(2*i*Pi/p/n)
+       /y unit i 2 Pi mul mul p  div n div sin mul s2 add def
+       1 1 p 1 sub { % for jj from 1 to p-1
+       /jj exch def
+       /x unit i jj n mul add 2 Pi mul mul n div p div cos mul s1 add x add def%x:=s1+unit*cos((i+jj*n)*Pi*2/p/n)
+       /y unit i jj n mul add 2 Pi mul mul n div p div sin mul s2 add y add def
+       } for
+       /x x p 0 add div def
+       /y y p 0 add div def
+        pscolorCenters
+       x y
+       Dot
+        stroke
+}for
+   } for
+   stroke
+ } def
+\ifPst@drawcenters
+    drawCenters
+\fi }
+\end@ClosedObj
+}}
+%
+%%%%%%%%%%%%%%%%%% The polytopes $\beta^p_n$
+% These polytopes are complex polytopes $2\{3\}2\{3\}2\dots 2\{4\}p$ in the notation of Coxeter.
+% They are the reciprocal polytopes of $\gamma^p_n$
+% When $p=2$, the polytope $\beta^2_n$ is an hyperoctaedre.
+% When $n=2$, the projection is not convenient since the projection of some vertices are the same.
+% For an other projection, use the macro \betaptwo described below.
+%
+% The two parameters are the dimension and $p$.
+%
+% Use the macro \betapn[dimension=...,P=...] to draw the projection of a polytope $\beta^p_n$.
+%
+% Example : \betapn[dimension=5,P=4]
+%%
+%
+%
+\def\betapn{\pst@object{betapn}}
+\def\betapn@i{\@ifnextchar[{\betapn@do}{\betapn@do[]}}
+\def\betapn@do[#1]{{%
+\pst@killglue
+\setkeys{psset}{#1}%
+\begin@ClosedObj
+\addto@pscode{%
+% Some useful definitions
+/pscolorVertices {\pst@usecolor\pscolorVertices currentrgbcolor} def
+ /pscolorCenters {\pst@usecolor\pscolorCenters currentrgbcolor} def
+0 0 translate
+/unit \pst@number\psunit\space def % pts -> cm
+/Pi 180 def
+/p \psk@pstCoxeter@P\space def % parameter
+%/p 3 def
+/n \psk@pstCoxeter@dimension\space def% dimension
+/n_1 n 1 sub def % n-1
+/p_1 p 1 sub def % p-1
+1 setlinejoin CLW setlinewidth%
+ /TableauxPoints [
+] def
+%
+%%%%% The procedures
+% % /drawEdges : draw the edges of the polytopes
+ /drawEdges {
+  0 1 n { % for k from 0 to n
+      /k exch def
+      k 1 add 1 n{ % for l from k+1 to n
+             /l exch def
+             0 1 p  { % for i from 0 to p
+                    /i exch def
+                    0  1 p  { % for j from 0 to p
+                            /j exch def
+                            /s1 unit n i mul  k add 2 Pi mul mul n div p div cos mul def % s1 := unit*cos(2*Pi*(n*i)+k)/n/p)
+                            /s2 unit n i mul  k add 2 Pi mul mul n div p div sin mul  def % s2 := unit*sin(2*Pi*(n*i)+k)/n/p)
+                            /s3 unit n j mul  1 k add add 2 Pi mul mul n div p div cos mul  def % s3 := unit*cos(2*Pi*(n*j)+k)/n/p)
+                            /s4 unit n j mul  1 k add add 2 Pi mul mul n div p div sin mul  def % s4 := unit*sin(2*Pi*(n*j)+k)/n/p)
+                            s1 s2 moveto
+                            s3 s4 lineto
+                            stroke
+                    }for
+             }for
+      } for
+  }for
+ } def \ifPst@drawedges
+    drawEdges
+    stroke
+\fi
+%
+% \drawVertices : draw the vertices of the polytopes
+%
+% Almost the same procedure than \drawEdges
+/DS \pst@number\pssizeVertices\space def
+\@nameuse{psds@\psk@styleVertices}%
+/drawVertices   {%
+ 0 1 n {
+      /k exch def
+      k 1 add 1 n{
+             /l exch def
+             0 1 p 0 sub {
+                    /i exch def
+                    0  1 p 0 sub {
+                            /j exch def
+                            /s1 unit n i mul  k add 2 Pi mul mul n div p div cos mul  def
+                            /s2 unit n i mul  k add 2 Pi mul mul n div p div sin mul  def
+                            /s3 unit n j mul  1 k add add 2 Pi mul mul n div p div cos mul  def
+                            /s4 unit n j mul  1 k add add 2 Pi mul mul n div p div sin mul  def
+                            pscolorVertices
+                            s1 s2 %radiusVertices  0 360 arc
+                            Dot
+                            %0 1 0 setrgbcolor % green
+                            %pscolorVertices
+                           % fill
+                            s3 s4 %radiusVertices  0 360 arc
+                            Dot
+                            %0 1 0 setrgbcolor % green
+                            %pscolorVertices
+                            %fill
+                            stroke
+                    }for
+             }for
+      } for
+  }for
+} def \ifPst@drawvertices
+     drawVertices
+\fi
+%
+% \drawCenters : draw the vertices of the polytopes
+%
+% Almost the same procedure than \drawCenters
+/DS \pst@number\pssizeCenters\space def
+\@nameuse{psds@\psk@styleCenters}%
+/drawCenters {
+ 0 1 n {
+      /k exch def
+      k 1 add 1 n{
+             /l exch def
+             0 1 p 0 sub {
+                    /i exch def
+                    0  1 p 0 sub {
+                            /j exch def
+                            /s1 unit n i mul  k add 2 Pi mul mul n div p div cos mul  def
+                            /s2 unit n i mul  k add 2 Pi mul mul n div p div sin mul  def
+                            /s3 unit n j mul  1 k add add 2 Pi mul mul n div p div cos mul  def
+                            /s4 unit n j mul  1 k add add 2 Pi mul mul n div p div sin mul  def
+                            pscolorCenters
+                            %newpath
+                            s1 s3 add 2 div s2 s4 add 2 div %1.5 0 360 arc
+                            %closepath
+                            Dot
+                           %1 0 0 setrgbcolor % red
+                            stroke
+                    }for
+             }for
+      } for
+  }for
+  } def \ifPst@drawcenters
+    drawCenters
+\fi
+}%
+\end@ClosedObj
+}}
+%
+% %%%%% Polygon $\gamma^p_2$
+% A special projection for polytopes $\gamma^p_2$.
+%
+\def\gammaptwo{\pst@object{gammaptwo}}
+\def\gammaptwo@i{\@ifnextchar[{\gammaptwo@do}{\gammaptwo@do[]}}
+\def\gammaptwo@do[#1]{{%
+\pst@killglue
+\setkeys{psset}{#1}%
+\begin@ClosedObj
+\addto@pscode{%
+/pscolorVertices {\pst@usecolor\pscolorVertices currentrgbcolor} def
+ /pscolorCenters {\pst@usecolor\pscolorCenters currentrgbcolor} def
+0 0 translate
+/unit \pst@number\psunit\space def % pts -> cm
+/Pi 180 def
+/p \psk@pstCoxeter@P\space def % parameter
+/p_1 p 1 add def % p+1
+1 setlinejoin CLW setlinewidth
+% list of the vertices
+/TableauxPointsL [
+0 1 p_1 {% for n from 0 to p-1
+    /n exch def
+0 1 p { % for n from 0 to p
+    /i exch def
+    [
+             2 n Pi mul mul p div cos 7.5 sin mul     % cos(2nPi/p)sin(Pi/24)
+             2 n Pi mul mul p div sin 7.5 cos mul add % +sin(2nPi/p)cos(Pi/24)
+             2 i Pi mul mul p div cos 7.5 sin mul sub % -cos(2iPi/p)sin(Pi/24)
+             2 i Pi mul mul p div sin 7.5 cos mul sub % -sin(2iPi/p)cos(Pi/24)
+             %
+             unit mul % pts to cm
+             2 n Pi mul mul p div cos 7.5 cos mul     % cos(2nPi/p)cos(Pi/24)
+             2 n Pi mul mul p div sin 7.5 sin mul sub % -sin(2nPi/p)sin(Pi/24)
+             2 i Pi mul mul p div cos 7.5 cos mul add % +cos(2iPi/p)cos(Pi/24)
+             2 i Pi mul mul p div sin 7.5 sin mul sub % -sin(2iPi/p)sin(Pi/24)
+             unit mul % pts to cm
+    ]
+    } for
+    } for
+] def
+%
+/TableauxPointsR [
+0 1 p_1 {%for n from 0 to p-1
+    /n exch def
+0 1 p {% for i from 0 to p
+    /i exch def
+    [
+             2 i Pi mul mul p div cos 7.5 sin mul     % cos(2iPi/p)sin(Pi/24)
+             2 i Pi mul mul p div sin 7.5 cos mul add % +sin(2iPi/p)cos(Pi/24)
+             2 n Pi mul mul p div cos 7.5 sin mul sub % -cos(2nPi/p)sin(Pi/24)
+             2 n Pi mul mul p div sin 7.5 cos mul sub % -sin(2nPi/p)cos(Pi/24)
+             unit mul % pts to cm
+             %
+             2 i Pi mul mul p div cos 7.5 cos mul     % cos(2iPi/p)cos(Pi/24)
+             2 i Pi mul mul p div sin 7.5 sin mul sub % -sin(2iPi/p)sin(Pi/24)
+             2 n Pi mul mul p div cos 7.5 cos mul add % +cos(2nPi/p)cos(Pi/24)
+             2 n Pi mul mul p div sin 7.5 sin mul sub % -sin(2nPi/p)sin(Pi/24)
+             unit mul % pts to cm
+    ]
+    } for
+    } for
+] def
+ %%%% The procedures
+ %
+ % / drawEdges draw the edges of the polygon
+/drawEdges {
+  /Liste exch def
+newpath
+ Liste 0 get aload pop moveto
+ 0 1 p_1 p mul {
+    /compteur exch def
+    Liste compteur get aload pop
+        lineto } for
+closepath stroke } def \ifPst@drawedges
+    TableauxPointsL drawEdges
+    TableauxPointsR drawEdges
+\fi
+%
+ % / drawVertices draw the vertices of the polygon
+/DS \pst@number\pssizeVertices\space def
+\@nameuse{psds@\psk@styleVertices}%
+/drawVertices {%
+    /Liste exch def
+     0 1 p_1 p mul {
+    /compteur exch def
+        pscolorVertices
+        Liste compteur get aload pop
+        Dot
+ pscolorVertices
+    fill
+    } for
+} def \ifPst@drawvertices
+    TableauxPointsL drawVertices
+    TableauxPointsR drawVertices
+\fi
+ %% List of the centers
+/TableauMilieuxL[
+0 1 p 1 sub {% for n from 0 to p-1
+    /n exch def
+    [
+             2 n Pi mul mul p div cos 7.5 sin mul     % cos(2nPi/p)sin(Pi/24)
+             2 n Pi mul mul p div sin 7.5 cos mul add % +sin(2nPi/p)cos(Pi/24)
+             unit mul % pts to cm
+             2 n Pi mul mul p div cos 7.5 cos mul     %  cos(2nPi/p)cos(Pi/24)
+             2 n Pi mul mul p div sin 7.5 sin mul sub % -sin(2nPi/p)sin(Pi/24)
+             unit mul % pts to cm
+    ]
+    } for
+] def
+%
+/TableauMilieuxR[
+0 1 p 1 sub {% for n from 0 to p-1
+    /n exch def
+    [
+             2 n Pi mul mul p div cos 7.5 sin mul neg % -cos(2nPi/p)sin(Pi/24)
+             2 n Pi mul mul p div sin 7.5 cos mul sub % -sin(2nPi/p)cos(Pi/24)
+             unit mul % pts to cm
+             2 n Pi mul mul p div cos 7.5 cos mul     %  cos(2nPi/p)cos(Pi/24)
+             2 n Pi mul mul p div sin 7.5 sin mul sub % -sin(2nPi/p)sin(Pi/24)
+             unit mul % pts to cm
+    ]
+    } for
+] def
+%
+ % / drawEdges draw the edges of the polygon
+/DS \pst@number\pssizeCenters\space def
+\@nameuse{psds@\psk@styleCenters}%
+/drawCenters {%
+  /Liste exch def
+  0 1 p 1 sub {%
+        /compteur exch def
+        pscolorCenters
+        Liste compteur get aload pop
+        Dot
+        stroke
+        } for
+} def \ifPst@drawcenters
+    TableauMilieuxL drawCenters
+    TableauMilieuxR drawCenters
+\fi
+}%
+\end@ClosedObj
+}}
+%
+%
+% %%%%% Polygon $\gamma^p_2$
+% A special projection for polytopes $\gamma^p_2$.
+%
+%
+\def\betaptwo{\pst@object{betaptwo}}
+\def\betaptwo@i{\@ifnextchar[{\betaptwo@do}{\betaptwo@do[]}}
+\def\betaptwo@do[#1]{{%
+\pst@killglue
+\setkeys{psset}{#1}%
+\begin@ClosedObj
+\addto@pscode{%
+/pscolorVertices {\pst@usecolor\pscolorVertices currentrgbcolor} def
+ /pscolorCenters {\pst@usecolor\pscolorCenters currentrgbcolor} def
+0 0 translate
+/unit \pst@number\psunit\space def % pts -> cm
+/Pi 180 def
+/p \psk@pstCoxeter@P\space def % parameter
+/p_1 p 1 sub def % p-1
+1 setlinejoin CLW setlinewidth
+% List of the vertices
+ /TableauxPointsL24p [
+0 1 p_1 {% for n from 0 to p-1
+    /n exch def
+    [
+             2 n Pi mul mul p div cos 7.5 sin mul     % cos(2nPi/p)sin(Pi/24)
+             2 n Pi mul mul p div sin 7.5 cos mul add % +sin(2nPi/p)cos(Pi/24)
+             unit mul % pts to cm
+             2 n Pi mul mul p div cos 7.5 cos mul     % cos(2nPi/p)cos(Pi/24)
+             2 n Pi mul mul p div sin 7.5 sin mul sub % -sin(2nPi/p)cos(Pi/24)
+             unit mul % pts to cm
+    ]
+    } for
+] def
+%
+/TableauxPointsR24p [
+0 1 p_1 {% for m from 0 to p-1
+    /m exch def
+    [
+             2 m Pi mul mul p div cos 7.5 sin mul neg %  cos(2mPi/p)sin(Pi/24)
+             2 m Pi mul mul p div sin 7.5 cos mul sub % -sin(2mPi/p)cos(Pi/24)
+             unit mul % pts to cm
+             2 m Pi mul mul p div cos 7.5 cos mul     %  cos(2mPi/p)cos(Pi/24)
+             2 m Pi mul mul p div sin 7.5 sin mul sub % -sin(2mPi/p)sin(Pi/24)
+             unit mul % pts to cm
+    ]
+    } for
+] def
+%%%% The procedures
+ %
+ % / drawEdges draw the edges of the polygon
+/drawEdges { 0 1 p_1 { %
+        /n exch def
+        TableauxPointsL24p n get aload pop
+        /YL ED /XL ED
+0 1 p_1 {
+        /m ED
+        XL YL moveto
+        TableauxPointsR24p m get aload pop
+        lineto
+%        0 0 1 setrgbcolor
+        stroke
+       } for } for
+} def
+ \ifPst@drawedges
+    drawEdges
+    stroke
+\fi
+ % / drawVertices draw the vertices of the polygon
+ /DS \pst@number\pssizeVertices\space def
+\@nameuse{psds@\psk@styleVertices}%
+/drawVertices {%
+    /Liste exch def
+     0 1 p_1 {
+    /compteur exch def
+ %   newpath
+    pscolorVertices
+        Liste compteur get aload pop
+       Dot% radiusVertices  0 360 arc
+    %closepath
+%0 1 0 setrgbcolor % green
+%pscolorVertices
+%    fill
+    } for
+} def
+%
+\ifPst@drawvertices
+    TableauxPointsL24p drawVertices
+    TableauxPointsR24p drawVertices
+\fi
+ % / drawCenters draw the centers of the edges of the polygon
+/DS \pst@number\pssizeCenters\space def
+\@nameuse{psds@\psk@styleCenters}%
+/drawCenters {
+ 0 1 p_1 {
+        /n exch def
+        TableauxPointsL24p n get aload pop
+        /YL ED /XL ED
+0 1 p_1 {
+        /m ED
+        TableauxPointsR24p m get aload pop
+        /YR ED /XR ED
+            /YM YL YR add 2 div def
+            /XM XL XR add 2 div def
+        pscolorCenters
+        %newpath
+            XM YM %1.5 0 360 arc
+            Dot
+        %closepath
+        %1 0 0 setrgbcolor % red
+        stroke
+       } for } for
+ } def
+\ifPst@drawcenters
+    drawCenters
+\fi }
+\end@ClosedObj
+}}
+%
+%
+%\catcode`\@=\PstAtCode\relax
+\endinput
+%
+%%
+%% END: pst-coxeter.tex
diff --git a/Master/texmf-dist/tex/latex/pst-cox/pst-coxcoor.sty b/Master/texmf-dist/tex/latex/pst-cox/pst-coxcoor.sty
new file mode 100644
index 00000000000..fc6ad1eef58
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pst-cox/pst-coxcoor.sty
@@ -0,0 +1,35 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    polygonesCoordinate\pst-coxcoor.sty
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      .sty file for the library pst-coxcoor
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PST-Cox V1.00
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\RequirePackage{pstricks}
+ \ProvidesPackage{pst-coxcoor}[2007/09/12
+package wrapper for
+  pst-coxcoor.tex (JG.L)]
+\input{pst-coxcoor.tex}
+\ProvidesFile{pst-coxcoor.tex}
+  [\filedate\space v\fileversion\space `PST-coxcoor' (JG.L)]
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pst-cox/pst-coxeterp.sty b/Master/texmf-dist/tex/latex/pst-cox/pst-coxeterp.sty
new file mode 100644
index 00000000000..c248c80870d
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pst-cox/pst-coxeterp.sty
@@ -0,0 +1,34 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%    pst-coxeter_parameter\pst-coxeterp.sty
+%    Authors:      J.-G. Luque and M. Luque
+%    Purpose:      .sty file for pst-coxeterp
+%    Created:      02/02/2008
+%    License:      LGPL
+%    Project:      PSCox
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright © 2008 Jean-Gabriel Luque, Manuel Luque.
+% This work may be distributed and/or modified  under the condition of
+% the Lesser GPL.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This file is part of PST-Cox V1.00.
+%
+%    PST-Cox V1.00 is free software: you can redistribute it and/or modify
+%    it under the terms of the Lesser GNU General Public License as published by
+%    the Free Software Foundation, either version 3 of the License, or
+%    (at your option) any later version.
+%
+%    PST-Cox V1.00 is distributed in the hope that it will be useful,
+%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%    Lesser GNU General Public License for more details.
+%
+%    You should have received a copy of the Lesser GNU General Public License
+%    along with PST-Cox V1.00.  If not, see <http://www.gnu.org/licenses/>.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\RequirePackage{pstricks} \ProvidesPackage{pst-coxeterp}[2007/09/12
+package wrapper for
+  pst-coxeterp.tex (JG.L)]
+\input{pst-coxeterp.tex}
+\ProvidesFile{pst-coxeterp.tex}
+  [\filedate\space v\fileversion\space `PST-coxeterp' (JG.L)]
+\endinput
diff --git a/Master/tlpkg/bin/ctan2tds b/Master/tlpkg/bin/ctan2tds
index d98c14c3443..3ebdf230693 100755
--- a/Master/tlpkg/bin/ctan2tds
+++ b/Master/tlpkg/bin/ctan2tds
@@ -309,7 +309,7 @@ chdir $startdir || die "chdir($startdir) failed: $!";  # back to raw
  'pst-blur',	"&MAKEpst",
  'pst-circ',	"&MAKEpst",
  'pst-coil',	"&MAKEpst",
- 'pst-cox',	"&MAKEpst",
+ 'pst-cox',	"&MAKEflatten",
  'pst-dbicons',	"&MAKEpst",
  'pst-diffraction', "&MAKEpst",
  'pst-eps',	"&MAKEpst",
@@ -422,6 +422,7 @@ chdir $startdir || die "chdir($startdir) failed: $!";  # back to raw
  'ibygrk'		=> '&POSTibygrk',
  'interactiveworkbook'	=> '&POSTinteractiveworkbook',
  'pgf'			=> '&POSTpgf',
+ 'pst-cox'		=> '&POSTpstcox',
 );
 
 
@@ -623,6 +624,7 @@ $standardsourcefmt='latex';
  'pictex',	'generic',
  'plnfss',	'plain',
  'pstricks',	'generic',
+ 'pst-cox',	'generic',
  'ruhyphen',	'generic',
  'shapepar',	'generic',
  'texsis',	'texsis',
@@ -726,6 +728,7 @@ $standardfmt='latex';
  'pictex',	'generic',
  'plnfss',	'plain',
  'psfrag-italian',	'italian',
+ 'pst-cox',		'generic',
  'pxfonts',	'fonts',
  'shapepar',	'generic',
  'skak',	'latex',
@@ -890,6 +893,7 @@ $standardtex='\.cfg|\.sty|\.clo|\.ldf|\.cls|\.def|\.fd$';
  'ppchtex',	'm.*tex|m.*sty',
  'prosper',	'\.ps|\.eps|\.sty|\.cls',
  'pstricks',	'pst-*\.tex',
+ 'pst-cox',	'pst-cox(coor|eterp)\.tex',
  'pst-geo',	'pst-map.*\.tex|pst-map.*\.sty',
  'pst-infixplot', 'infix-RPN\.tex|pst-infixplot\.tex',
  'qobitree',	'qobitree.tex',
@@ -3285,6 +3289,19 @@ sub POSTpgf
   &SYSTEM ("cd $DEST && mkdir tex && mv context generic latex plain tex");
 }
 
+sub POSTpstcox
+{
+  print "\t POST$package mv latex .sty, doc Gallery\n";
+  &SYSTEM ("mkdir -p $DEST/tex/latex/$package");
+  &SYSTEM ("mv -v $DEST/doc/generic/$package/*sty $DEST/tex/latex/$package");
+  &xchdir ("$DEST/doc/generic/$package");
+  &SYSTEM ("mkdir pst-coxeterp/");
+  # oops, depends on find order
+  &SYSTEM ("mv -v Gallery.tex pst-coxeterp?* pst-coxeterp/");
+  &SYSTEM ("mv -v doc/pst-coxcoor/ pst-coxcoor");
+  &SYSTEM ("mv -v pst-coxcoor?* pst-coxcoor");
+}
+
 
 # Allow overrides.  In particular, CTAN can change some hashes to make
 # packages with licenses that TL doesn't allow.
diff --git a/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc b/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc
index e063eaea0d0..7febdba855a 100644
--- a/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc
+++ b/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc
@@ -14,6 +14,7 @@ depend pst-barcode
 depend pst-blur
 depend pst-circ
 depend pst-coil
+depend pst-cox
 depend pst-dbicons
 depend pst-diffraction
 depend pst-eps
diff --git a/Master/tlpkg/tlpsrc/pst-cox.tlpsrc b/Master/tlpkg/tlpsrc/pst-cox.tlpsrc
new file mode 100644
index 00000000000..e163b1a2267
--- /dev/null
+++ b/Master/tlpkg/tlpsrc/pst-cox.tlpsrc
@@ -0,0 +1,2 @@
+name pst-cox
+category Package