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9 changed files with 99 additions and 49 deletions
44
documents/GeoTopo/figures/ueberlappung-kaestchen-torus.tex
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44
documents/GeoTopo/figures/ueberlappung-kaestchen-torus.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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\newcommand*{\xMin}{0}%
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\newcommand*{\xMax}{6}%
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\newcommand*{\yMin}{0}%
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\newcommand*{\yMax}{6}%
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\draw (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
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\draw[xscale=-1] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
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\draw[rotate=180] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
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\draw[yscale=-1] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
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\draw (-2,.2) .. controls (-1.5,-0.3) and (-1,-0.5) .. (0,-.5) .. controls (1,-0.5) and (1.5,-0.3) .. (2,0.2);
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\draw (-1.75,0) .. controls (-1.5,0.3) and (-1,0.5) .. (0,.5) .. controls (1,0.5) and (1.5,0.3) .. (1.75,0);
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\begin{scope}[shift={(-12,-3)}]
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\foreach \i in {\xMin,...,\xMax} {
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\draw [very thin,gray] (\i,\yMin) -- (\i,\yMax) node [below] at (\i,\yMin) {$\i$};
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}
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\foreach \i in {\yMin,...,\yMax} {
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\draw [very thin,gray] (\xMin,\i) -- (\xMax,\i) node [left] at (\xMin,\i) {$\i$};
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}
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\begin{scope}[shift={(14,2)}]
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\node (P) at (0.4,0.9) {};
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\node (Q) at (0.9,0.4) {};
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\draw [red] (P) rectangle (Q);
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\draw (0.65, 0.6) node[red] {*};
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\end{scope}
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\foreach \x in {0,1,2,3,4,5} {
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\foreach \y in {0,1,2,3,4,5} {
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\begin{scope}[shift={(\x,\y)}]
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\node (P) at (0.4,0.9) {};
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\node (Q) at (0.9,0.4) {};
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\draw [red] (P) rectangle (Q);
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\draw (0.65, 0.6) node[red] {*};
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\end{scope}
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}
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}
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\end{scope}
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\draw (-4.5, 0) node[below] {$\xrightarrow{\text{\;\;\;\;\;\;\;\;}}$};
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\end{tikzpicture}
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