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diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Pappus.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Pappus.tex new file mode 100644 index 0000000000..539790b1d9 --- /dev/null +++ b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Pappus.tex @@ -0,0 +1,61 @@ +\newpage\section{Pappus} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Pappus ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grPappus}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/PappusGraph.html} + +\emph{A cubic symmetric distance-regular graph on 18 vertices, illustrated below in three embeddings. It can be represented in LCF notation $[5,7,-7,7,-7,-5]^3$ (Frucht 1976).} +\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}} + +From Wikipedia : \url{http://en.wikipedia.org/wiki/Pappus_graph} +\emph{In the mathematical field of graph theory, the Pappus graph is a 3-regular graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus configuration. It is a distance-regular graph, one of only 14 such cubic graphs according to Cubic symmetric graphs.} + +This macro can be used with three different forms. +\end{NewMacroBox} + +\bigskip + + +\subsection{\tkzname{Pappus Graph : form 1}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \grPappus[RA=7] +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Pappus Graph : form 2}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPappus[form=2,RA=7,RB=5,RC=3] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Pappus Graph : form 3}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{blue} + \grPappus[form=3,RA=7,RB=5,RC=2.5] + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput
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