From 123a5f4a7d5afb554d17a6ffc795a7bf1921abf0 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Sun, 22 Aug 2021 11:16:26 +0200
Subject: add additional image

---
 buch/chapters/95-homologie/images/homocycles.tex | 157 +++++++++++++++++++++++
 1 file changed, 157 insertions(+)
 create mode 100644 buch/chapters/95-homologie/images/homocycles.tex

(limited to 'buch/chapters/95-homologie/images/homocycles.tex')

diff --git a/buch/chapters/95-homologie/images/homocycles.tex b/buch/chapters/95-homologie/images/homocycles.tex
new file mode 100644
index 0000000..898cac6
--- /dev/null
+++ b/buch/chapters/95-homologie/images/homocycles.tex
@@ -0,0 +1,157 @@
+%
+% tikztemplate.tex -- template for standalon tikz images
+%
+% (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{0.4}
+
+\def\punkt#1#2{({((#1)+0.5*(#2))*\s},{(#2)*\s*sqrt(3)/2})}
+\def\A{\punkt{0}{0}}
+\def\B{\punkt{1}{0}}
+\def\C{\punkt{2}{0}}
+\def\D{\punkt{3}{0}}
+\def\E{\punkt{4}{0}}
+\def\F{\punkt{0}{1}}
+\def\G{\punkt{1}{1}}
+\def\H{\punkt{2}{1}}
+\def\I{\punkt{3}{1}}
+\def\J{\punkt{0}{2}}
+\def\K{\punkt{1}{2}}
+\def\L{\punkt{2}{2}}
+\def\M{\punkt{0}{3}}
+\def\N{\punkt{1}{3}}
+\def\O{\punkt{0}{4}}
+
+%\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} {$\scriptstyle #3$};
+%}
+
+\def\gebiet{
+	\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}
+}
+
+\begin{scope}
+\gebiet
+\draw[color=red] \A -- \B -- \F -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_1$};
+\end{scope}
+
+\begin{scope}[xshift=2cm]
+\gebiet
+\draw[color=red] \B -- \C -- \G -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_2$};
+\end{scope}
+
+\begin{scope}[xshift=4cm]
+\gebiet
+\draw[color=red] \C -- \D -- \H -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_3$};
+\end{scope}
+
+\begin{scope}[xshift=6cm]
+\gebiet
+\draw[color=red] \D -- \E -- \I -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_4$};
+\end{scope}
+
+\begin{scope}[xshift=8cm]
+\gebiet
+\draw[color=red] \A -- \B -- \G -- \F -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_5$};
+\end{scope}
+
+\begin{scope}[xshift=10cm]
+\gebiet
+\draw[color=red] \C -- \D -- \I -- \H -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_6$};
+\end{scope}
+
+\begin{scope}[xshift=12cm]
+\gebiet
+\draw[color=red] \A -- \B -- \G -- \J -- \F -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_7$};
+\end{scope}
+
+\begin{scope}[xshift=0cm,yshift=-3cm]
+\gebiet
+\draw[color=red] \C -- \D -- \I -- \L -- \H -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_8$};
+\end{scope}
+
+\begin{scope}[xshift=2cm,yshift=-3cm]
+\gebiet
+\draw[color=red] \A -- \B -- \C -- \H -- \L -- \K -- \J -- \F -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_9$};
+\end{scope}
+
+\begin{scope}[xshift=4cm,yshift=-3cm]
+\gebiet
+\draw[color=red] \J -- \K -- \M -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_{10}$};
+\end{scope}
+
+\begin{scope}[xshift=6cm,yshift=-3cm]
+\gebiet
+\draw[color=red] \A -- \B -- \C -- \H -- \L -- \N -- \K -- \J -- \F -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_{11}$};
+\end{scope}
+
+\begin{scope}[xshift=8cm,yshift=-3cm]
+\gebiet
+\draw[color=red] \J -- \K -- \N -- \M -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_{12}$};
+\end{scope}
+
+\begin{scope}[xshift=10cm,yshift=-3cm]
+\gebiet
+\draw[color=red] \J -- \K -- \N -- \O -- \M -- cycle;
+\node[color=red] at ({2*\s},-0.5) {$z_{13}$};
+\end{scope}
+
+
+\end{tikzpicture}
+\end{document}
+
-- 
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