move all iamges to separate files

1 files changed, 1 insertions, 86 deletions

diff --git a/buch/chapters/50-permutationen/transpositionen.tex b/buch/chapters/50-permutationen/transpositionen.tex
index baed2fb..604e010 100644
--- a/buch/chapters/50-permutationen/transpositionen.tex
+++ b/buch/chapters/50-permutationen/transpositionen.tex
@@ -35,92 +35,7 @@ also die Permutation, die $1\to2\to3\to\dots\to k-2\to k-1\to k\to 1$
 abbildet.
 Dieser Zyklus lässt sich wie folgt aus Transpositionen zusammensetzen:
 \begin{center}
-\def\kreuz#1#2#3{
-	\draw[->] ({(#1)-1},#2) to[out=-90,in=90] ({#1},{#2-1});
-	\draw[->] ({#1},#2) to[out=-90,in=90] ({#1-1},{#2-1});
-	\node at ({(#1)-0.5+0.2},{#2-0.5}) [right] {$#3$};
-}
-\begin{tikzpicture}[>=latex,thick]
-\foreach \x in {1,2,3,6,7,8,9}{
-	\fill ({\x-1},0) circle[radius=0.05];
-}
-\foreach \x in {1,2,3}{
-	\node at ({\x-1},0) [above] {$\tiny \x$};
-}
-\node at (8,0) [above] {$\tiny k$};
-\node at (7,0) [above] {$\tiny k-1$};
-\node at (6,0) [above] {$\tiny k-2$};
-\node at (5,0) [above] {$\tiny k-3$};
-\foreach \x in {1,2,3,4,7,8,9}{
-	\fill ({\x-1},-8) circle[radius=0.05];
-}
-\foreach \x in {1,2,3,4}{
-	\node at ({\x-1},-8) [below] {$\tiny \x$};
-}
-\node at (6,-8) [below] {$k-2$};
-\node at (7,-8) [below] {$k-1$};
-\node at (8,-8) [below] {$k$};
-
-\foreach \x in {3,3.2,...,5}{
-	\fill (\x,{-8+\x}) circle[radius=0.02];
-	\fill ({\x+0.5},-8) circle[radius=0.02];
-	\fill ({\x-0.5},0) circle[radius=0.02];
-}
-
-\kreuz{8}{0}{\tau_{k-1,k}}
-\kreuz{7}{-1}{\tau_{k-2,k-1}}
-\kreuz{6}{-2}{\tau_{k-3,k-2}}
-%\kreuz{5}{-3}{\tau_{56}}
-%\kreuz{4}{-4}{\tau_{45}}
-\kreuz{3}{-5}{\tau_{34}}
-\kreuz{2}{-6}{\tau_{23}}
-\kreuz{1}{-7}{\tau_{12}}
-
-\draw[->,color=gray] (0,0) -- (0,-7);
-\draw[->,color=gray] (1,0) -- (1,-6);
-\draw[->,color=gray] (2,0) -- (2,-5);
-%\draw[->,color=gray] (3,0) -- (3,-4);
-%\draw[->,color=gray] (4,0) -- (4,-3);
-\draw[->,color=gray] (5,0) -- (5,-2);
-\draw[->,color=gray] (6,0) -- (6,-1);
-
-\draw[->,color=gray] (8,-1) -- (8,-8);
-\draw[->,color=gray] (7,-2) -- (7,-8);
-\draw[->,color=gray] (6,-3) -- (6,-8);
-%\draw[->,color=gray] (5,-4) -- (5,-8);
-%\draw[->,color=gray] (4,-5) -- (4,-8);
-\draw[->,color=gray] (3,-6) -- (3,-8);
-\draw[->,color=gray] (2,-7) -- (2,-8);
-	
-\fill (6,-1) circle[radius=0.05];
-\fill (7,-1) circle[radius=0.05];
-\fill (8,-1) circle[radius=0.05];
-
-\fill (5,-2) circle[radius=0.05];
-\fill (6,-2) circle[radius=0.05];
-\fill (7,-2) circle[radius=0.05];
-
-%\fill (4,-3) circle[radius=0.05];
-\fill (5,-3) circle[radius=0.05];
-\fill (6,-3) circle[radius=0.05];
-
-%\fill (3,-4) circle[radius=0.05];
-%\fill (4,-4) circle[radius=0.05];
-%\fill (5,-4) circle[radius=0.05];
-
-\fill (2,-5) circle[radius=0.05];
-\fill (3,-5) circle[radius=0.05];
-%\fill (4,-5) circle[radius=0.05];
-
-\fill (1,-6) circle[radius=0.05];
-\fill (2,-6) circle[radius=0.05];
-\fill (3,-6) circle[radius=0.05];
-
-\fill (0,-7) circle[radius=0.05];
-\fill (1,-7) circle[radius=0.05];
-\fill (2,-7) circle[radius=0.05];
-
-\end{tikzpicture}
+\includegraphics{chapters/50-permutationen/images/transpositionen.pdf}
 \end{center}
 Es ist also
 \[