From e1a7798f45cd37c0aa0bfaaef5f0acb4e48bc867 Mon Sep 17 00:00:00 2001
From: Norbert Preining <norbert@preining.info>
Date: Fri, 22 Jan 2021 03:00:46 +0000
Subject: CTAN sync 202101220300

---
 .../NamedGraphs/doc/latex/NamedGraphs-Platonic.tex | 338 ---------------------
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 delete mode 100644 obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Platonic.tex

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diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Platonic.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Platonic.tex
deleted file mode 100644
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-%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/NamedGraphs/doc/NamedGraphs-main.tex
-\newpage\section{ The five Platonics Graphs}
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<––––––––––––––––––––  Platonic graphs      –––––––––––––––––––––––––––––––>
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-
-The Platonic Graphs are the graphs formed by the edges and vertices of the five regular Platonic solids. The five Platonics Graphs  are illustrated below.  
-
-\begin{enumerate}
-  \item tetrahedral
-  \item octahedral
-  \item cube
-  \item icosahedral
-  \item dodecahedral
-\end{enumerate} 
-
-
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-\begin{NewMacroBox}{grTetrahedral}{\oarg{RA=Number}}
-From MathWord : \url{http://mathworld.wolfram.com/TetrahedralGraph.html} 
-
-\emph{\tkzname{Tetrahedral Graph}  is the unique polyhedral graph on four nodes which is also the complete graph  and therefore also the wheel graph . It is implemented as \tkzcname{grTetrahedral}}
-\href{http://mathworld.wolfram.com/TetrahedralGraph.html}%
-           {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}%
-           {\textcolor{blue}{E.Weisstein}
-}
-It has :
-
-\begin{enumerate}
- \item  4 nodes,
- \item  6 edges,
- \item  graph diameter 1.
-\end{enumerate}
-
-The  Tetrahedral Graph is 3-Regular
-\end{NewMacroBox}
-
-\subsection{\tkzname{Tetrahedral}}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[scale=.6]
-      \GraphInit[vstyle=Shade]
-      \renewcommand*{\VertexInnerSep}{4pt} 
-      \SetVertexNoLabel\SetGraphShadeColor{red!50}{black}{red}
-      \grTetrahedral[RA=5]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\clearpage\newpage
-\subsection{\tkzname{Tetrahedral LCF embedding}}
-
-\vspace*{2cm}
-\begin{center}
-  \begin{tkzexample}[vbox]
-\begin{tikzpicture}[rotate=18]
-     \renewcommand*{\VertexInnerSep}{8pt} 
-     \GraphInit[vstyle=Art]
-     \SetGraphArtColor{red!50}{orange}
-     \grLCF[RA=7]{2,-2}{2}
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\clearpage\newpage   
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-
-\begin{NewMacroBox}{grOctahedral}{\oarg{RA=\meta{Number},RB=\meta{Number}}}
-
-\medskip
-From MathWord : \url{http://mathworld.wolfram.com/OctahedralGraph.html} 
-
-\emph{\tkzname{Octahedral Graph}  is isomorphic to the circulant graph $CI_{[1,2]}(6)$ . Two embeddings of this graph are illustrated below. It is implemented as \tkzcname{grOctahedral} or as \tkzcname{grSQCycle\{6\}}.}
-\href{http://mathworld.wolfram.com/topics/GraphTheory.html}%
-           {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}%
-           {\textcolor{blue}{E.Weisstein}}   
-
-It has :
-
-\begin{enumerate}
- \item  6 nodes,
- \item  12 edges,
- \item  graph diameter 2.
-\end{enumerate}
-
-\medskip
- The  Octahedral Graph is 4-Regular.
-\end{NewMacroBox}
-
-
-\medskip
-\subsection{\tkzname{Octahedral}}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}
-  \grOctahedral[RA=6,RB=2]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\vfill\newpage\null
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}
-       \grSQCycle[RA=5]{6}
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\vfill\newpage\null
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-
-\medskip
-\begin{NewMacroBox}{grCubicalGraph}{\oarg{RA=\meta{Number},RB=\meta{Number}}}
-
-\medskip
-From MathWord : \url{http://mathworld.wolfram.com/CubicalGraph.html} 
-
-\emph{\tkzname{Cubical Graph}  is isomorphic to a generalized Petersen graph  $PG_{[4,1]}$, to a bipartite Kneser graph , to a crown graph and it is equivalent to the Cycle Ladder $CL(4)$. Two embeddings of this graph are illustrated below. It is implemented as \tkzcname{grCubicalGraph} or \tkzcname{grPrism\{4\}}.}
-\href{http://mathworld.wolfram.com/CubicalGraph.html}%
-           {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}%
-           {\textcolor{blue}{E.Weisstein}}
-
-It has :
-
-\begin{enumerate}
- \item  8 nodes,
- \item  12 edges,
- \item  graph diameter 3.
-\end{enumerate}
-
- The  Cubical Graph is 3-Regular.
-\end{NewMacroBox}
-
-\subsection{\tkzname{Cubical Graph : form 1}}
-\begin{center}
-  \begin{tkzexample}[vbox]
-\begin{tikzpicture}
-  \grCubicalGraph[RA=5,RB=2]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\vfill\newpage\null 
-\subsection{\tkzname{Cubical Graph : form 2}}
-\begin{center}
-  \begin{tkzexample}[vbox]
-\begin{tikzpicture}
-  \grCubicalGraph[form=2,RA=7,RB=4]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\vfill\newpage
-\subsection{\tkzname{Cubical LCF embedding}}
-
-\vspace*{2cm}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[rotate=18]
-    \GraphInit[vstyle=Art]\renewcommand*{\VertexInnerSep}{8pt} 
-    \SetGraphArtColor{red!50}{orange}
-    \grLCF[RA=7]{3,-3}{4}
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\clearpage\newpage
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-
-\begin{NewMacroBox}{grIcosahedral}{\oarg{RA=\meta{Number},RB=\meta{Number},RC=\meta{Number}}}
-
-\medskip
-From MathWord : \url{http://mathworld.wolfram.com/IcosahedralGraph.html} 
-
-\emph{The \tkzname{Icosahedral Graph}  is the Platonic graph whose nodes have the connectivity of the icosahedron, illustrated above in a number of embeddings. The icosahedral graph has 12 vertices and 30 edges. Since the icosahedral graph is regular and Hamiltonian, it has a generalized LCF notation.}
-\href{http://mathworld.wolfram.com/IcosahedralGraph.html}%
-           {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}%
-           {\textcolor{blue}{E.Weisstein}}
-
-\medskip
-It has :
-
-\begin{enumerate}
- \item  12 nodes,
- \item  30 edges,
- \item  graph diameter 3.
-\end{enumerate}
-
-\medskip
- The  Icosahedral Graph is 5-Regular.
-\end{NewMacroBox}
-
-\medskip
-
-\subsection{\tkzname{Icosahedral forme 1 }}
-
-\tikzstyle{EdgeStyle}= [thick,%
-                        double          = orange,%
-                        double distance = 1pt] 
-
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[scale=.8]
- \GraphInit[vstyle=Art]\renewcommand*{\VertexInnerSep}{4pt} 
- \SetGraphArtColor{red}{orange}
- \grIcosahedral[RA=5,RB=1]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\clearpage\newpage    
-
-\subsection{\tkzname{Icosahedral forme 2 }}
-\vspace*{2cm}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[rotate=-30]
-   \GraphInit[vstyle=Art]  \renewcommand*{\VertexInnerSep}{8pt} 
-   \SetGraphArtColor{red!50}{orange}
-   \grIcosahedral[form=2,RA=8,RB=2,RC=.8]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\vfill\newpage
-
-\subsection{\tkzname{Icosahedral} \tkzname{RA=1} et \tkzname{RB=7}}
-\begin{center}
-\begin{tkzexample}[vbox]
- \begin{tikzpicture}
-    \GraphInit[vstyle=Art]  \renewcommand*{\VertexInnerSep}{8pt} 
-    \SetGraphArtColor{red!50}{orange}
-    \grIcosahedral[RA=1,RB=7]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\clearpage\newpage    
-\subsection{\tkzname{Icosahedral LCF embedding 1}}
-
-\vspace*{2cm}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[rotate=18]
-    \GraphInit[vstyle=Art]  \renewcommand*{\VertexInnerSep}{8pt} 
-    \SetGraphArtColor{red!50}{orange}
-    \grLCF[RA=7]{-4,-3,4}{6}
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\clearpage\newpage    
-\subsection{\tkzname{Icosahedral LCF embedding 2}}
-
-\vspace*{2cm}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[rotate=18]
-   \GraphInit[vstyle=Art]
-   \SetGraphArtColor{red!50}{orange}
-   \grLCF[RA=7]{-2,2,3}{6}
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\clearpage\newpage 
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-
-\begin{NewMacroBox}{grDodecahedral}{\oarg{RA=\meta{Number},RB=\meta{Number},RC=\meta{Number},RD=\meta{Number}}}
-
-\medskip
-From MathWord : \url{http://mathworld.wolfram.com/DodecahedralGraph.html} 
-
-\emph{The \tkzname{Icosahedral Graph}  is the Platonic graph corresponding to the connectivity of the vertices of a dodecahedron, illustrated above in four embeddings. The left embedding shows a stereographic projection of the dodecahedron, the second an orthographic projection, the third is from Read and Wilson, and the fourth is derived from LCF notation.}
-\href{http://mathworld.wolfram.com/DodecahedralGraph.html}%
-           {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}%
-           {\textcolor{blue}{E.Weisstein}}
-
-\medskip
-It has :
-
-\begin{enumerate}
- \item  20 nodes,
- \item  30 edges,
- \item  graph diameter 5.
-\end{enumerate}
-
-\medskip
- The  Dodecahedral Graph is 3-Regular.
-\end{NewMacroBox}
-
-\medskip
-\subsection{\tkzname{Dodecahedral}}
-
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[rotate=18,scale=.6]
-   \GraphInit[vstyle=Art]
-   \SetGraphArtColor{red!50}{orange}
-   \grDodecahedral[RA=7,RB=4,RC=2,RD=1]
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\subsection{\tkzname{Dodecahedral other embedding}}
-
-\vspace*{2cm}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}
-   \grCycle[RA=7,prefix=a]{10}
-   \grSQCycle[RA=4,prefix=b]{10}
-     \foreach \v in {0,...,9}
-       {\Edge(a\v)(b\v)}
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-\vfill\newpage
-\subsection{\tkzname{Dodecahedral LCF embedding}}
-
-\vspace*{2cm}
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[rotate=18]
-   \GraphInit[vstyle=Art]
-   \SetGraphArtColor{red!50}{orange}
-   \grLCF[RA=7]{10,7,4,-4,-7,10,-4,7,-7,4}{2}
- \end{tikzpicture}
-\end{tkzexample} 
-\end{center}
-
-
-\endinput
-- 
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