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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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31
tikz/topology-parametric-surface-mapping/Makefile Normal file
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SOURCE = topology-parametric-surface-mapping
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

3
tikz/topology-parametric-surface-mapping/Readme.md Normal file
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Compiled example
----------------
![Example](topology-parametric-surface-mapping.png)

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tikz/topology-parametric-surface-mapping/topology-parametric-surface-mapping.png Normal file
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33
tikz/topology-parametric-surface-mapping/topology-parametric-surface-mapping.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{amsmath,amssymb}% math symbols / fonts
\usepackage{tikz}
\usepackage{tqft}
\usetikzlibrary{patterns}
\begin{document}
\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}
\end{document}