File:Proof of Menger's Theorem.svg
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Size of this PNG preview of this SVG file: 195 × 153 pixels. Other resolutions: 306 × 240 pixels | 612 × 480 pixels | 979 × 768 pixels | 1,280 × 1,004 pixels | 2,560 × 2,009 pixels.
Original file (SVG file, nominally 195 × 153 pixels, file size: 18 KB)
Summary
| Description |
English: An illustration for the proof of Menger's theorem |
| Date | |
| Source | Own work |
| Author | Tokenzero |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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LaTeX/TikZ source code
\RequirePackage{luatex85}
%\documentclass{minimal}
\documentclass[tikz,border=5pt]{standalone}
%% Compile svg by running:
%% latex example.tex #OR BETTER: lualatex --output-format=dvi example.tex
%% dvisvgm --bbox=5 example.dvi
\usepackage{tikz}
\usepackage{DejaVuSans}
\renewcommand*\familydefault{\sfdefault}
\usetikzlibrary{calc,decorations.pathmorphing,decorations.pathreplacing,fadings,decorations.markings,arrows.meta}
\begin{document}%
\begin{tikzpicture}[
scale=1,every node/.style={draw,circle,fill=blue!40!gray!80!white},
]
\def\r{0.33}
\node (ab) at ( 0:0) {};
\node (a1) at (140:1) {};
\node (a2) at (140:2) {};
\node (a3) at (140:3) {};
\node (b1) at ( 40:1) {};
\node (b2) at ( 40:2) {};
\node (b3) at ( 40:3) {};
\node (s1) at ( 90:1.3) {};
\node (s2) at ( 90:2.2) {};
\node[label=above:$v_1$] (sa) at (100:3.1) {};
\node[label=above:$v_2$] (sb) at ( 80:3.1) {};
\node[fill=none,draw=none] at (140:1.5) {$A$};
\node[fill=none,draw=none] at ( 40:1.5) {$B$};
\node[fill=none,draw=none] at ( 90:1.7) {$S$};
\draw[thick,dashed] (sa) -- (sb) node [midway, above,fill=none,draw=none] {$e$};
\draw[decorate,decoration=snake] (a1) to[bend left=10] (s1);
\draw[decorate,decoration=snake] (a2) to[bend left=30] (s2);
\draw[decorate,decoration=snake] (a3) to[bend left=30] (sa);
\draw[decorate,decoration=snake] (b1) to[bend right=10] (s1);
\draw[decorate,decoration=snake] (b2) to[bend right=30] (s2);
\draw[decorate,decoration=snake] (b3) to[bend right=30] (sb);
\draw [rounded corners=6] (-135:\r) -- (-45:\r) -- ($(s2)+(45:\r)$) -- ($(s2)+(135:\r)$) -- cycle;
\draw [rounded corners=6,opacity=0.25] (-135:\r) -- (-45:\r) -- ($(s2)+(45:\r)$) -- ($(sb)+(5:\r)$) -- ($(sb)+(95:\r)$) -- ($(s2)+(135:\r)$) -- cycle;
\draw [rounded corners=6,opacity=0.25] (-135:\r) -- (-45:\r) -- ($(s2)+(45:\r)$) -- ($(sa)+(85:\r)$) -- ($(sa)+(175:\r)$) -- ($(s2)+(135:\r)$) -- cycle;
\draw [rounded corners=6] (50-135:\r) -- (50-45:\r) -- ($(a3)+(50+45:\r)$) -- ($(a3)+(50+135:\r)$) -- cycle;
\draw [rounded corners=6] (-50-135:\r) -- (-50-45:\r) -- ($(b3)+(-50+45:\r)$) -- ($(b3)+(-50+135:\r)$) -- cycle;
\end{tikzpicture}%
\end{document}
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:12, 29 July 2018 | | 195 × 153 (18 KB) | wikimediacommons>Tokenzero | User created page with UploadWizard |
File usage
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