\documentclass[headsepline,11pt]{scrbook}
\usepackage[a4paper]{geometry}
\usepackage{amsmath,amsfonts,amsthm,amssymb}
\usepackage[ngerman]{babel}
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\newtheorem{lem}{Lemma}[section]
\newtheorem{thm}[lem]{Satz}
\theoremstyle{definition}
\newtheorem{df}[lem]{Definition}
%
\def\R{\mathbb R}
\def\C{\mathbb C}
\DeclareMathOperator{\vol}{vol}
%
\usepackage{tikz}
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\begin{document}
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%%%%% KEiNE AENDERUNGEN UEBER DIESER ZEILE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\chapter{ ---Seminarthema--- }

Ausgearbeitet von: {\sffamily\bfseries N.N.}

\section{ ---Abschnitt--- }

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Donec vel ex dignissim, ullamcorper tellus a, maximus libero. Morbi auctor in augue eu hendrerit. Praesent pretium risus eu interdum molestie. Praesent condimentum a tortor et accumsan. Morbi vestibulum hendrerit odio, id porta arcu. Sed imperdiet ante ipsum. Proin quis massa nec augue commodo semper id et odio. Suspendisse potenti. Donec sed sapien a magna venenatis egestas. Maecenas dictum gravida varius. Integer ligula nibh, malesuada tempor leo et, consequat vestibulum lacus. Class aptent taciti sociosqu ad litora torquent per conubia nostra, per inceptos himenaeos. Ut vulputate dui at fermentum imperdiet. Donec id laoreet purus.

\begin{df}
Nam euismod dictum lobortis. Phasellus porta tortor eu nibh rutrum euismod. Vivamus a sollicitudin metus. Pellentesque sed magna lacus. Ut accumsan auctor ante, vitae rutrum felis pulvinar sit amet. Morbi molestie placerat sapien, vitae aliquet tellus molestie et. Donec gravida at mi quis vulputate. Vestibulum eget justo vitae ex pulvinar ornare. Duis fermentum, justo quis pulvinar accumsan, lectus leo faucibus urna, quis maximus massa dui id nisl. Vivamus nec ultricies erat. Aliquam erat volutpat.
\end{df}


Nulla diam leo, consectetur at nisl quis, ultrices pretium felis. Aenean efficitur lorem at nulla dapibus, non mattis mi lobortis. Quisque auctor, ex in rutrum viverra, libero urna pharetra nisl, vel suscipit dolor dui ut ipsum. Proin ullamcorper diam ut orci tempor pulvinar. Duis ut ullamcorper mi, at vestibulum nunc. Donec auctor ante sed sapien imperdiet sodales. Morbi quam odio, euismod in ornare eget, iaculis in nunc. Nullam tristique diam ac tellus fermentum varius in bibendum erat. Ut lacinia nibh tellus.

\begin{thm}
Pellentesque ut eros a felis vestibulum ultricies. Suspendisse mollis lobortis lorem a gravida. Maecenas mauris mauris, sagittis quis consequat id, placerat eget turpis. In placerat egestas lectus at imperdiet. Aenean sodales tortor vitae elit volutpat pharetra. Integer a leo quis quam consectetur convallis quis non dolor. Duis id justo vulputate, euismod neque ut, rhoncus urna. Praesent quis dictum metus. Praesent venenatis lacus eu neque lobortis bibendum a a orci. Fusce mi lectus, sodales ut malesuada id, aliquam id neque. Nam et porttitor arcu. Aliquam quis dolor a nulla venenatis varius. Class aptent taciti sociosqu ad litora torquent per conubia nostra, per inceptos himenaeos. Duis consectetur dignissim nibh, vitae egestas turpis feugiat consectetur. Nunc fermentum finibus risus, sed viverra felis accumsan at.
\end{thm}

Fusce eu pulvinar diam. Cras vestibulum ut quam in viverra. Donec lacinia dui justo, eu tempor justo facilisis posuere. Morbi luctus massa id tellus commodo, id tempor dui malesuada. Phasellus semper dui a elementum commodo. Praesent vel tristique quam. Quisque non convallis libero, ut pulvinar quam. Fusce scelerisque sed diam vel dignissim. Sed egestas diam id lorem venenatis, sit amet convallis tortor faucibus. Vestibulum ac metus a purus fringilla pulvinar id mattis nibh. Nulla facilisi. Suspendisse molestie sed elit in tempor. Curabitur elementum lectus sit amet sapien dictum, in ultricies lacus iaculis. Aenean facilisis urna leo, in sollicitudin lorem tristique id. Curabitur in massa aliquet, gravida est vel, blandit orci.

\begin{figure}
% Define style for nodes
\tikzstyle{every node}=[circle, draw, fill=black!50,  inner sep=0pt, minimum width=4pt]
%  Tutte's 8-cage
\begin{tikzpicture}[thick,scale=0.8]
    % The following path utilizes several useful tricks and features:
    % 1) The foreach statement is put inside a path, so all the edges
    %    will in fact be a the same path.
    % 2) The node construct is used to draw the nodes. Nodes are special
    %    in the way that they are drawn *after* the path is drawn. This
    %    is very useful in this case because the nodes will be drawn on
    %    top of the path and therefore hide all edge joins.
    % 3) Simple arithmetics can be used when specifying coordinates.
    \draw \foreach \x in {0,36,...,324}
    {
        (\x:2) node {}  -- (\x+108:2)
        (\x-10:3) node {} -- (\x+5:4)
        (\x-10:3) -- (\x+36:2)
        (\x-10:3) --(\x+170:3)
        (\x+5:4) node {} -- (\x+41:4)
    };
\end{tikzpicture}\quad
%
%
% The largest 3-regular graph of diameter 3
\begin{tikzpicture}[thick,scale=0.8]%
    \draw \foreach \x in {18,90,...,306} {
        (\x:4) node{} -- (\x+72:4)
        (\x:4) -- (\x:3) node{}
        (\x:3) -- (\x+15:2) node{}
        (\x:3) -- (\x-15:2) node{}
        (\x+15:2) -- (\x+144-15:2)
        (\x-15:2) -- (\x+144+15:2)
};
\end{tikzpicture}
\caption{Beispiel von \ttfamily http://www.texample.net/tikz/examples/combinatorial-graphs/}
\end{figure}

\end{document}