Bild geTikZ't

documents/GeoTopo/Kapitel3.tex

@@ -596,8 +596,8 @@ Haben wir Häufungspunkt definiert?}
 
 \begin{figure}
     \centering
-    \includegraphics[width=\linewidth, keepaspectratio]{figures/todo/liftung-torus-r.jpg}
-    \caption{Beim liften eines Weges bleiben geschlossene Wege im allgemeinen nicht geschlossen}
+    \input{figures/liftung-torus-r.tex}
+    \caption{Beim Liften eines Weges bleiben geschlossene Wege im allgemeinen nicht geschlossen}
     \label{fig:satz-seifert-van-kampen}
 \end{figure}
 

documents/GeoTopo/figures/liftung-torus-r.tex

@@ -0,0 +1,42 @@
+% The following answers were used to create this image:
+% - http://tex.stackexchange.com/a/45824/5645 - Grid
+% - http://tex.stackexchange.com/a/373/5645 - Torus
+\begin{tikzpicture}
+\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
+\newcommand*{\xMin}{0}%
+\newcommand*{\xMax}{6}%
+\newcommand*{\yMin}{0}%
+\newcommand*{\yMax}{6}%
+
+\draw (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+\draw[xscale=-1] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+\draw[rotate=180] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+\draw[yscale=-1] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+
+\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);
+
+\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);
+
+\begin{scope}[shift={(5,-3)}]
+    \foreach \i in {\xMin,...,\xMax} {
+        \draw [very thin,gray] (\i,\yMin) -- (\i,\yMax)  node [below] at (\i,\yMin) {$\i$};
+    }
+    \foreach \i in {\yMin,...,\yMax} {
+        \draw [very thin,gray] (\xMin,\i) -- (\xMax,\i) node [left] at (\xMin,\i) {$\i$};
+    }
+
+    \node (P)[point,red] at (1.2,2.2) {};
+    \node (Q)[point,red] at (1.2,1.6) {};
+    \draw[ultra thick, red] (P) -- (Q);
+
+    \begin{scope}[shift={(2,1)}]
+        \node (P)[point,red] at (1.2,2.2) {};
+        \node (Q)[point,red] at (1.2,1.6) {};
+        \draw[ultra thick, red] (P) -- (Q);
+    \end{scope}
+    \draw (-1, -0.5) node[below] {$T \xrightarrow{\text{Liften}} \mathbb{R}^2 / \mathbb{Z}^2$};
+    \draw[red,dashed] (-5,1.5) ellipse (0.5cm and 1cm);
+
+    \draw[red] (-5,2.5) arc (-270:-90:0.5 and 1) ;
+\end{scope}
+\end{tikzpicture}

tikz/liftung-torus-r/Makefile

@@ -0,0 +1,31 @@
+SOURCE = liftung-torus-r
+DELAY = 80
+DENSITY = 300
+WIDTH = 512
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

tikz/liftung-torus-r/Readme.md

@@ -0,0 +1,3 @@
+Compiled example
+----------------
+![Example](liftung-torus-r.png)

tikz/liftung-torus-r/liftung-torus-r.tex

@@ -0,0 +1,49 @@
+% The following answers were used to create this image:
+% - http://tex.stackexchange.com/a/45824/5645 - Grid
+% - http://tex.stackexchange.com/a/373/5645 - Torus
+\documentclass[border=2pt]{standalone}
+\usepackage{amsmath,amssymb}
+\usepackage{tikz}
+\usetikzlibrary{patterns,arrows,positioning}
+
+\begin{document}
+\begin{tikzpicture}
+\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
+\newcommand*{\xMin}{0}%
+\newcommand*{\xMax}{6}%
+\newcommand*{\yMin}{0}%
+\newcommand*{\yMax}{6}%
+
+\draw (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+\draw[xscale=-1] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+\draw[rotate=180] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+\draw[yscale=-1] (-3.5,0) .. controls (-3.5,2) and (-1.5,2.5) .. (0,2.5);
+
+\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);
+
+\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);
+
+\begin{scope}[shift={(5,-3)}]
+    \foreach \i in {\xMin,...,\xMax} {
+        \draw [very thin,gray] (\i,\yMin) -- (\i,\yMax)  node [below] at (\i,\yMin) {$\i$};
+    }
+    \foreach \i in {\yMin,...,\yMax} {
+        \draw [very thin,gray] (\xMin,\i) -- (\xMax,\i) node [left] at (\xMin,\i) {$\i$};
+    }
+
+    \node (P)[point,red] at (1.2,2.2) {};
+    \node (Q)[point,red] at (1.2,1.6) {};
+    \draw[ultra thick, red] (P) -- (Q);
+
+    \begin{scope}[shift={(2,1)}]
+        \node (P)[point,red] at (1.2,2.2) {};
+        \node (Q)[point,red] at (1.2,1.6) {};
+        \draw[ultra thick, red] (P) -- (Q);
+    \end{scope}
+    \draw (-1, -0.5) node[below] {$T \xrightarrow{\text{Liften}} \mathbb{R}^2 / \mathbb{Z}^2$};
+    \draw[red,dashed] (-5,1.5) ellipse (0.5cm and 1cm);
+
+    \draw[red] (-5,2.5) arc (-270:-90:0.5 and 1) ;
+\end{scope}
+\end{tikzpicture}
+\end{document}