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author | Ayexor <9105454+Ayexor@users.noreply.github.com> | 2021-08-27 18:09:54 +0200 |
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committer | GitHub <noreply@github.com> | 2021-08-27 18:09:54 +0200 |
commit | 2b2c5daa139aec08d091b658ad6191d6e57024ef (patch) | |
tree | 2c8f3fc7017394746d8e4f92a358e2a11015e072 /buch/chapters/95-homologie/images/gausshomoex.tex | |
parent | Anpassungen nach Mail (diff) | |
parent | new image: tetraeder (diff) | |
download | SeminarMatrizen-2b2c5daa139aec08d091b658ad6191d6e57024ef.tar.gz SeminarMatrizen-2b2c5daa139aec08d091b658ad6191d6e57024ef.zip |
Merge branch 'master' into master
Diffstat (limited to '')
-rw-r--r-- | buch/chapters/95-homologie/images/gausshomoex.tex | 120 |
1 files changed, 120 insertions, 0 deletions
diff --git a/buch/chapters/95-homologie/images/gausshomoex.tex b/buch/chapters/95-homologie/images/gausshomoex.tex new file mode 100644 index 0000000..df53f70 --- /dev/null +++ b/buch/chapters/95-homologie/images/gausshomoex.tex @@ -0,0 +1,120 @@ +% +% gausshomoex.tex -- Beispiel für die Bestimmung einer Basis von H_1 +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math} +\begin{document} +\def\skala{1} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\def\s{2.0} + +\def\punkt#1#2{({((#1)+0.5*(#2))*\s},{(#2)*\s*sqrt(3)/2})} + +\def\knoten#1#2#3{ + \fill[color=white] \punkt{#1}{#2} circle[radius=0.3]; + \node at \punkt{#1}{#2} {$#3$\strut}; + \draw \punkt{#1}{#2} circle[radius=0.3]; +} +\def\dreieck#1#2#3{ + \fill[color=gray] \punkt{#1}{#2} -- \punkt{#1+1}{#2} + -- \punkt{#1}{(#2)+1} -- cycle; + \node at \punkt{#1+0.3333}{#2+0.3333} {$#3$\strut}; + \draw[->,line width=1pt,shorten >= 0.3cm,shorten <= 0.3cm] + \punkt{#1}{#2} -- \punkt{#1+1}{#2}; + \draw[->,line width=1pt,shorten >= 0.3cm,shorten <= 0.3cm] + \punkt{#1+1}{#2} -- \punkt{#1}{#2+1}; + \draw[->,line width=1pt,shorten >= 0.3cm,shorten <= 0.3cm] + \punkt{#1}{#2+1} -- \punkt{#1}{#2}; +} + +\def\Dreieck#1#2#3{ + \fill[color=gray!50] \punkt{#1}{#2} -- \punkt{#1+1}{#2} + -- \punkt{#1+1}{(#2)-1} -- cycle; + \node at \punkt{#1+0.3333}{#2+0.3333} {$#3$\strut}; +} + +\def\kante#1#2#3{ + \fill[color=white,opacity=0.8] \punkt{#1}{#2} circle[radius=0.15]; + \node at \punkt{#1}{#2} {$\scriptstyle #3$}; +} + +\dreieck{0}{0}{1} +\dreieck{1}{0}{2} +\dreieck{2}{0}{3} +\dreieck{3}{0}{4} + +\dreieck{0}{1}{5} +\dreieck{2}{1}{6} + +\dreieck{0}{2}{7} +\dreieck{1}{2}{8} + +\dreieck{0}{3}{9} + + +\knoten{0}{0}{1} +\knoten{1}{0}{2} +\knoten{2}{0}{3} +\knoten{3}{0}{4} +\knoten{4}{0}{5} + +\knoten{0}{1}{6} +\knoten{1}{1}{7} +\knoten{2}{1}{8} +\knoten{3}{1}{9} + +\knoten{0}{2}{10} +\knoten{1}{2}{11} +\knoten{2}{2}{12} + +\knoten{0}{3}{13} +\knoten{1}{3}{14} + +\knoten{0}{4}{15} + +\kante{0.5}{0}{1} +\kante{1.5}{0}{2} +\kante{2.5}{0}{3} +\kante{3.5}{0}{4} + +\kante{0}{0.5}{5} +\kante{0.5}{0.5}{6} +\kante{1}{0.5}{7} +\kante{1.5}{0.5}{8} +\kante{2}{0.5}{9} +\kante{2.5}{0.5}{10} +\kante{3}{0.5}{11} +\kante{3.5}{0.5}{12} + +\kante{0.5}{1}{13} +\kante{2.5}{1}{14} + +\kante{0}{1.5}{15} +\kante{0.5}{1.5}{16} +\kante{2}{1.5}{17} +\kante{2.5}{1.5}{18} + +\kante{0.5}{2}{19} +\kante{1.5}{2}{20} + +\kante{0}{2.5}{21} +\kante{0.5}{2.5}{22} +\kante{1}{2.5}{23} +\kante{1.5}{2.5}{24} + +\kante{0.5}{3}{25} + +\kante{0}{3.5}{26} +\kante{0.5}{3.5}{27} + +\end{tikzpicture} +\end{document} + |