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1
% A complete graph

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% Author: Quintin Jean-Noël

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% <http://moais.imag.fr/membres/jean-noel.quintin/>

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\documentclass[varwidth=true, border=2pt]{standalone}

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\usepackage{tikz}

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\usetikzlibrary[topaths]

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\begin{document}

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% A counter, since TikZ is not clever enough (yet) to handle

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% arbitrary angle systems.

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\newcount\mycount

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  \tikzstyle{vertexs}=[draw,fill=black,circle,minimum size=4pt,inner sep=0pt]

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  \begin{tikzpicture}

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      %the multiplication with floats is not possible. Thus I split the loop in two.

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      \foreach \number in {1,...,8}{

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          % Computer angle:

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            \mycount=\number

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            \advance\mycount by -1

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      \multiply\mycount by 45

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            \advance\mycount by 0

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          \node[draw,circle,inner sep=0.25cm] (N-\number) at (\the\mycount:5.4cm) {};

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        }

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      \foreach \number in {9,...,16}{

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          % Computer angle:

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            \mycount=\number

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            \advance\mycount by -1

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      \multiply\mycount by 45

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            \advance\mycount by 22.5

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          \node[draw,circle,inner sep=0.25cm] (N-\number) at (\the\mycount:5.4cm) {};

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        }

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      \foreach \number in {1,...,15}{

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            \mycount=\number

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            \advance\mycount by 1

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      \foreach \numbera in {\the\mycount,...,16}{

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        \path (N-\number) edge[->,bend right=3] (N-\numbera)  edge[<-,bend

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          left=3] (N-\numbera);

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      }

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    }

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    \node[draw,circle,inner sep=0.25cm,red,fill] (N-0) at (0:5.4cm) {};

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    \draw[green, ultra thick] (N-1) -- (N-2);

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    \draw[green, ultra thick] (N-1) -- (N-3);

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    \draw[green, ultra thick] (N-1) -- (N-4);

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    \draw[green, ultra thick] (N-1) -- (N-5);

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    \draw[green, ultra thick] (N-1) -- (N-6);

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    \draw[green, ultra thick] (N-1) -- (N-7);

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    \draw[green, ultra thick] (N-1) -- (N-8);

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    \draw[green, ultra thick] (N-1) -- (N-9);

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    \draw[green, ultra thick] (N-1) -- (N-10);

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    \draw[green, ultra thick] (N-1) -- (N-11);

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    \draw[green, ultra thick] (N-1) -- (N-12);

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    \draw[green, ultra thick] (N-1) -- (N-13);

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    \draw[green, ultra thick] (N-1) -- (N-14);

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    \draw[green, ultra thick] (N-1) -- (N-15);

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    \draw[green, ultra thick] (N-1) -- (N-16);

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  \end{tikzpicture}

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\end{document}

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