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Bild geTikZ't
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11 changed files with 108 additions and 12 deletions
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documents/GeoTopo/figures/topology-homotop-paths-2.tex
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documents/GeoTopo/figures/topology-homotop-paths-2.tex
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\begin{tikzpicture}
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\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
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\node at (3,1) [red] {$\gamma_1$};
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\node at (1,1) [blue] {$\gamma_1'$};
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\node (a)[point,label=180:$a$] at (0,0) {};
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\node (b)[point,label=-90:$b$] at (4, 0) {};
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\node (c)[point,label=0:$c$] at (8, 0) {};
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\draw [rounded corners, thick, red] (a) .. controls (1,-1) .. (2,0) .. controls (3,1) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1,-0.8) .. (2,0) .. controls (3,0.8) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1,-0.6) .. (2,0) .. controls (3,0.6) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1,-0.4) .. (2,0) .. controls (3,0.4) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1,-0.2) .. (2,0) .. controls (3,0.2) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1, 0) .. (2,0) .. controls (3,0.0) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1, 0.2) .. (2,0) .. controls (3,-0.2) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1, 0.4) .. (2,0) .. controls (3,-0.4) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1, 0.6) .. (2,0) .. controls (3,-0.6) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1, 0.8) .. (2,0) .. controls (3,-0.8) .. (b);
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\draw [rounded corners, dashed] (a) .. controls (1, 1.0) .. (2,0) .. controls (3,-1.0) .. (b);
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\draw [rounded corners, thick, blue] (a) .. controls (1,1) .. (2,0) .. controls (3,-1) .. (b);
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\draw [rounded corners, thick, green!80!black] (b) edge[bend right] node[below] {$\gamma_2'$} (c);
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\draw [rounded corners, dashed] (b) edge[bend right=20] (c);
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\draw [rounded corners, dashed] (b) edge[bend right=-20] (c);
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\draw [rounded corners, dashed] (b) edge[bend right=10] (c);
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\draw [rounded corners, dashed] (b) edge[bend right=-10] (c);
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\draw [rounded corners, thick, orange] (b) edge[bend left] node[above] {$\gamma_1'$} (c);
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\end{tikzpicture}
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