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Gauss-Krümmung beim Torus

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Martin Thoma 2014-02-07 12:04:43 +01:00
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31
tikz/torus-gauss-kruemmung/Makefile Normal file
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SOURCE = torus-gauss-kruemmung
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/torus-gauss-kruemmung/Readme.md Normal file
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Compiled example
----------------
![Example](torus-gauss-kruemmung.png)

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tikz/torus-gauss-kruemmung/torus-gauss-kruemmung.png Normal file
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28
tikz/torus-gauss-kruemmung/torus-gauss-kruemmung.tex Normal file
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% The following answers were used to create this image:
% - 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]
\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);
\draw[dashed] (0,-1.5) ellipse (0.5cm and 1cm);
\draw (0,-0.5) arc (-270:-90:0.5 and 1);
\node (s1)[point,orange,label={[label distance=0mm]90:\color{orange}$s_1$}] at (0,-0.5) {};
\node (s2)[point,red,label={[label distance=0mm]120:\color{red}$s_2$}] at (-0.5,-1.4) {};
\node (s3)[point,green,label={[label distance=0mm]90:\color{green}$s_3$}] at (0,-2.5) {};
\draw[red] (0,0.07) ellipse (3cm and 1.5cm);
\end{tikzpicture}
\end{document}