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Vorlesung vom 28.11.2013 digitalisiert

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Martin Thoma 2013-11-28 17:28:06 +01:00
parent 0d18b6b229
commit bd5f65062d
35 changed files with 536 additions and 2 deletions
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3
documents/GeoTopo/figures/todo.tex Normal file
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\begin{tikzpicture}
\path (0,0) edge [bend angle=10,bend right] node[label=TODO] {} (-1,-1.5);
\end{tikzpicture}

10
documents/GeoTopo/figures/topology-graph-k-3-3.tex Normal file
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\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\foreach \x in {0,1,2}
\foreach \y in {0,1,2}{
\node (a)[point] at (\y,0) {};
\node (b)[point] at (\x,1) {};
\draw (a) -- (b);
}
\end{tikzpicture}

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documents/GeoTopo/figures/topology-graph-k-5.tex Normal file
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\newcommand\n{5}
\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\begin{scope}[rotate=17]
%the multiplication with floats is not possible. Thus I split the loop in two.
\foreach \number in {1,...,\n}{
\node[point] (N-\number) at ({\number*(360/\n)}:1.5cm) {};
}
\foreach \number in {1,...,\n}{
\foreach \y in {1,...,\n}{
\draw (N-\number) -- (N-\y);
}
}
\end{scope}
\end{tikzpicture}

8
documents/GeoTopo/figures/topology-graph-simple.tex Normal file
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\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (a)[point] at (0,0) {};
\node (b)[point] at (1,0) {};
\path (a.center) edge [bend left] (b.center);
\path (a.center) edge (b.center);
\path (a.center) edge [bend right] (b.center);
\end{tikzpicture}

15
documents/GeoTopo/figures/topology-graph-tetraeder-area-2.tex Normal file
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\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (z)[point] at (0,0) {};
\node (a)[point] at (90:1cm) {};
\node (b)[point] at (210:1cm) {};
\node (c)[point] at (330:1cm) {};
\node (d)[point] at (10:1.5cm) {};
\path (z.center) edge (a.center);
\path (z.center) edge (b.center);
\path (z.center) edge (c.center);
\draw (a.center) -- (b.center) -- (c.center) -- cycle;
\draw (a.center) -- (d.center);
\draw (c.center) -- (d.center);
\end{tikzpicture}

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documents/GeoTopo/figures/topology-graph-tetraeder-area.tex Normal file
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\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (z)[point] at (0,0) {};
\node (a)[point] at (90:1cm) {};
\node (b)[point] at (210:1cm) {};
\node (c)[point] at (330:1cm) {};
\path (z.center) edge (a.center);
\path (z.center) edge (b.center);
\path (z.center) edge (c.center);
\draw (a.center) -- (b.center) -- (c.center) -- cycle;
\draw[pattern=north west lines] (a.center) -- (b.center) -- (z.center) --cycle;
\draw[pattern=dots] (b.center) -- (c.center) -- (z.center) --cycle;
\draw[pattern=crosshatch] (a.center) -- (c.center) -- (z.center) --cycle;
\end{tikzpicture}

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documents/GeoTopo/figures/topology-graph-tetraeder.tex Normal file
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\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
\node (z)[point] at (0,0) {};
\node (a)[point] at (90:1cm) {};
\node (b)[point] at (210:1cm) {};
\node (c)[point] at (330:1cm) {};
\path (z.center) edge (a.center);
\path (z.center) edge (b.center);
\path (z.center) edge (c.center);
\draw (a.center) -- (b.center) -- (c.center) -- cycle;
\end{tikzpicture}