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added images

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Martin Thoma 2013-11-28 22:29:27 +01:00
parent 0b5f7dd41d
commit f2a0df1de7
12 changed files with 168 additions and 5 deletions
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12
documents/GeoTopo/figures/topology-oriented-triangle.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,label={[label distance=0cm]210:$a$}] at (210:1cm) {};
\node (b)[point,label={[label distance=0cm]-45:$b$}] at (330:1cm) {};
\node (c)[point,label={[label distance=0cm]90:$c$}] at (90:1cm) {};
\node (sigma) at (0,0) {$\sigma$};
\draw[->, very thick] (a) edge node[label=below:$e_3$] {} (b);
\draw[->, very thick] (b) edge node[label=right:$e_1$] {} (c);
\draw[->, very thick] (c) edge node[label=left:$e_2$] {} (a);
\end{tikzpicture}

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documents/GeoTopo/figures/topology-parametric-surface-mapping.tex Normal file
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\begin{tikzpicture}
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=2pt,minimum height=2pt]
\draw (0,0) ellipse (2cm and 1cm);
\def\ringa{(-0.3,0) circle (0.5cm)}
\def\ringb{(+0.3,0) circle (0.5cm)}
\draw \ringa;
\draw[red] \ringb;
%\node at (-1,0.3) {$U_i$};
%\node at (+1,0.3) {$U_j$};
\node at (-1.9,-2) {$U_i$};
\node[red] at (+1.9,-2) {$U_j$};
\node at (+2.0,0.7) {$S$};
\node[point,label={[label distance=-0.1cm]90:$s$}] at (0,0) {};
\path[<-] (-0.35,0) edge [bend angle=10,bend right] node[label={[label distance=0.1cm]210:$F_i$}] {} (-1,-1.5);
\path[<-,red] (+0.35,0) edge [bend angle=10,bend left] node[label={[label distance=0.1cm]-30:$F_j$}] {} (+1,-1.5);
\draw (-1,-2) circle (0.5cm);
\draw[red] (+1,-2) circle (0.5cm);
\path[->, green, thick] (-0.3,-2) edge node[label=below:$\scriptstyle F_j^{-1} \circ F_i$] {} (0.3,-2);
\end{tikzpicture}