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/homoclasses.tex | 104 ++++++++++++++++++++++
 1 file changed, 104 insertions(+)
 create mode 100644 buch/chapters/95-homologie/images/homoclasses.tex

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

diff --git a/buch/chapters/95-homologie/images/homoclasses.tex b/buch/chapters/95-homologie/images/homoclasses.tex
new file mode 100644
index 0000000..e325d9b
--- /dev/null
+++ b/buch/chapters/95-homologie/images/homoclasses.tex
@@ -0,0 +1,104 @@
+%
+% 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]
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+\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=darkgreen] \B -- \G -- \J -- \F -- cycle;
+\node[color=darkgreen] at ({2*\s},-0.5) {$z_5'$};
+\end{scope}
+
+\begin{scope}[xshift=2cm]
+\gebiet
+\draw[color=darkgreen] \D -- \I -- \L -- \H -- cycle;
+\node[color=darkgreen] at ({2*\s},-0.5) {$z_6'$};
+\end{scope}
+
+\begin{scope}[xshift=4cm]
+\gebiet
+\draw[color=darkgreen] \C -- \L -- \N -- \K -- \M -- \J -- cycle;
+\node[color=darkgreen] at ({2*\s},-0.5) {$z_9'$};
+\end{scope}
+
+\begin{scope}[xshift=6cm]
+\gebiet
+\draw[color=darkgreen] \K -- \N -- \O -- \M -- cycle;
+\node[color=darkgreen] at ({2*\s},-0.5) {$z_{12}'$};
+\end{scope}
+
+
+\end{tikzpicture}
+\end{document}
+
-- 
cgit v1.2.1


From 13304c02851094180b714d71451f279966fb582f Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Tue, 24 Aug 2021 17:21:53 +0200
Subject: simpliziale Approximation

---
 buch/chapters/95-homologie/images/homoclasses.tex | 17 +++++++++++------
 1 file changed, 11 insertions(+), 6 deletions(-)

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

diff --git a/buch/chapters/95-homologie/images/homoclasses.tex b/buch/chapters/95-homologie/images/homoclasses.tex
index e325d9b..4467f08 100644
--- a/buch/chapters/95-homologie/images/homoclasses.tex
+++ b/buch/chapters/95-homologie/images/homoclasses.tex
@@ -1,5 +1,5 @@
 %
-% tikztemplate.tex -- template for standalon tikz images
+% homoclasses.tex -- template for standalon tikz images
 %
 % (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 %
@@ -11,11 +11,12 @@
 \usepackage{csvsimple}
 \usetikzlibrary{arrows,intersections,math}
 \begin{document}
-\def\skala{1}
+\def\skala{1.4}
 \begin{tikzpicture}[>=latex,thick,scale=\skala]
 
 \definecolor{darkgreen}{rgb}{0,0.6,0}
 \def\s{0.4}
+\def\h{-0.3}
 
 \def\punkt#1#2{({((#1)+0.5*(#2))*\s},{(#2)*\s*sqrt(3)/2})}
 \def\A{\punkt{0}{0}}
@@ -77,25 +78,29 @@
 \begin{scope}
 \gebiet
 \draw[color=darkgreen] \B -- \G -- \J -- \F -- cycle;
-\node[color=darkgreen] at ({2*\s},-0.5) {$z_5'$};
+\draw[->,color=darkgreen] \B -- \G;
+\node[color=darkgreen] at ({2*\s},{\h}) {$z_5'$};
 \end{scope}
 
 \begin{scope}[xshift=2cm]
 \gebiet
 \draw[color=darkgreen] \D -- \I -- \L -- \H -- cycle;
-\node[color=darkgreen] at ({2*\s},-0.5) {$z_6'$};
+\draw[->,color=darkgreen] \D -- \I;
+\node[color=darkgreen] at ({2*\s},{\h}) {$z_6'$};
 \end{scope}
 
 \begin{scope}[xshift=4cm]
 \gebiet
 \draw[color=darkgreen] \C -- \L -- \N -- \K -- \M -- \J -- cycle;
-\node[color=darkgreen] at ({2*\s},-0.5) {$z_9'$};
+\draw[->,color=darkgreen] \C -- \L;
+\node[color=darkgreen] at ({2*\s},{\h}) {$z_9'$};
 \end{scope}
 
 \begin{scope}[xshift=6cm]
 \gebiet
 \draw[color=darkgreen] \K -- \N -- \O -- \M -- cycle;
-\node[color=darkgreen] at ({2*\s},-0.5) {$z_{12}'$};
+\draw[->,color=darkgreen] \K -- \N;
+\node[color=darkgreen] at ({2*\s},{\h}) {$z_{12}'$};
 \end{scope}
 
 
-- 
cgit v1.2.1

