10 files changed, 67 insertions, 9 deletions
diff --git a/buch/papers/clifford/3d/Makefile b/buch/papers/clifford/3d/Makefile
index 823ad54..147ca81 100644
--- a/buch/papers/clifford/3d/Makefile
+++ b/buch/papers/clifford/3d/Makefile
@@ -3,7 +3,7 @@
 #
 # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 #
-all:	dq.jpg q23.jpg q31.jpg drehung.jpg dq.pdf qq.pdf
+all:	dq.jpg q23.jpg q31.jpg drehung.jpg dq.pdf qq.pdf drehung.pdf
 
 size="+W3840 +H2160"
 
@@ -31,6 +31,8 @@ qq.pdf:	qq.tex q31.jpg q23.jpg
 
 drehung.png:	drehung.pov common.inc 
 	povray +A0.1 $(size) -Odrehung.png drehung.pov
-drehung.jpg:	drehung.png
-	convert drehung.png -density 300 -units PixelsPerInch drehung.jpg
+drehung.jpg:	drehung.png Makefile
+	convert -extract 1600x1450+1400+50 drehung.png -density 300 -units PixelsPerInch drehung.jpg
+drehung.pdf:	drehung.tex drehung.jpg
+	pdflatex drehung.tex
 
diff --git a/buch/papers/clifford/3d/dq.jpg b/buch/papers/clifford/3d/dq.jpg
new file mode 100644
index 0000000..bd44a65
--- /dev/null
+++ b/buch/papers/clifford/3d/dq.jpg
diff --git a/buch/papers/clifford/3d/dq.pdf b/buch/papers/clifford/3d/dq.pdf
index 59a1498..71727d2 100644
--- a/buch/papers/clifford/3d/dq.pdf
+++ b/buch/papers/clifford/3d/dq.pdf
diff --git a/buch/papers/clifford/3d/drehung.jpg b/buch/papers/clifford/3d/drehung.jpg
new file mode 100644
index 0000000..ad7cd47
--- /dev/null
+++ b/buch/papers/clifford/3d/drehung.jpg
diff --git a/buch/papers/clifford/3d/drehung.pdf b/buch/papers/clifford/3d/drehung.pdf
new file mode 100644
index 0000000..de29085
--- /dev/null
+++ b/buch/papers/clifford/3d/drehung.pdf
diff --git a/buch/papers/clifford/3d/drehung.tex b/buch/papers/clifford/3d/drehung.tex
new file mode 100644
index 0000000..2ed6789
--- /dev/null
+++ b/buch/papers/clifford/3d/drehung.tex
@@ -0,0 +1,56 @@
+%
+% drehung.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{times}
+\usepackage{amsmath}
+\usepackage{txfonts}
+\usepackage[utf8]{inputenc}
+\usepackage{graphics}
+\usetikzlibrary{arrows,intersections,math}
+\usepackage{ifthen}
+\begin{document}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+\definecolor{darkred}{rgb}{0.6,0,0}
+
+\newboolean{showgrid}
+\setboolean{showgrid}{false}
+\def\breite{7}
+\def\hoehe{6}
+
+\begin{tikzpicture}[>=latex,thick]
+
+% Povray Bild
+\node at (0,0) {\includegraphics[width=13cm]{drehung.jpg}};
+
+% Gitter
+\ifthenelse{\boolean{showgrid}}{
+\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw                            (-\breite,-\hoehe) grid (\breite, \hoehe);
+\fill (0,0) circle[radius=0.05];
+}{}
+
+\node at (6.1,-3.3) {$a_1$};
+\node at (-2.0,5.7) {$a_2$};
+\node at (-5.7,-4.9) {$a_3$};
+
+\node[color=white] at (-1.9,4.4) {$\boldsymbol{v}$};
+\node[color=white] at (4.5,-2.7) {$\boldsymbol{v}''$};
+
+\node[color=darkgreen] at (-3.3,4.4) {$\boldsymbol{v}_{\perp}$};
+\node[color=darkgreen] at (4.2,-4.3) {$\boldsymbol{v}''_{\perp}$};
+
+\node[color=blue] at (-3.7,1.5) {$\boldsymbol{v}_{\|}$};
+\node[color=blue] at (1.9,-4.7) {$\boldsymbol{v}''_{\|}$};
+
+\node[color=darkred] at (-1.6,-4.2) {$2\alpha=120^\circ$};
+\node[color=darkred] at (-4.9,-0.6) {$\boldsymbol{q}$};
+
+\end{tikzpicture}
+
+\end{document}
+
diff --git a/buch/papers/clifford/3d/q23.jpg b/buch/papers/clifford/3d/q23.jpg
new file mode 100644
index 0000000..50ca028
--- /dev/null
+++ b/buch/papers/clifford/3d/q23.jpg
diff --git a/buch/papers/clifford/3d/q31.jpg b/buch/papers/clifford/3d/q31.jpg
new file mode 100644
index 0000000..10313fa
--- /dev/null
+++ b/buch/papers/clifford/3d/q31.jpg
diff --git a/buch/papers/clifford/3d/qq.pdf b/buch/papers/clifford/3d/qq.pdf
index 07a871c..4c55d57 100644
--- a/buch/papers/clifford/3d/qq.pdf
+++ b/buch/papers/clifford/3d/qq.pdf
diff --git a/buch/papers/clifford/3d/qq.tex b/buch/papers/clifford/3d/qq.tex
index c2ac1bc..9baa8bb 100644
--- a/buch/papers/clifford/3d/qq.tex
+++ b/buch/papers/clifford/3d/qq.tex
@@ -33,9 +33,9 @@
 \fill (0,0) circle[radius=0.05];
 }{}
 \fill[color=white,opacity=0.5] ({-0.6-0.3},{-0.2-0.2}) rectangle ({-0.6+0.3},{-0.2+0.2});
-\node[color=darkred] at (-0.6,-0.2) {$q_{23}$};
-\node[color=blue] at (-0.4,2.7) {$\mathbf{v}$};
-\node[color=blue] at (0.7,0.4) {$\mathbf{v}''_{23}$};
+\node[color=darkred] at (-0.6,-0.2) {$\boldsymbol{q}_{23}$};
+\node[color=blue] at (-0.4,2.7) {$\boldsymbol{v}$};
+\node[color=blue] at (0.7,0.4) {$\boldsymbol{v}''_{23}$};
 \node at (3.1,-1.4) {$a_1$};
 \node at (-2.7,-2.4) {$a_3$};
 \node at (-0.7,3.4) {$a_2$};
@@ -53,9 +53,9 @@
 \fill (0,0) circle[radius=0.05];
 }{}
 \fill[color=white,opacity=0.5] ({-0.7-0.3},{-0.9-0.2}) rectangle ({-0.7+0.3},{-0.9+0.2});
-\node[color=darkred] at (-0.7,-0.9) {$q_{13}$};
-\node[color=blue] at (0.7,0.4) {$\mathbf{v}''_{23}$};
-\node[color=blue] at (2.7,-0.7) {$\mathbf{v}''$};
+\node[color=darkred] at (-0.7,-0.9) {$\boldsymbol{q}_{13}$};
+\node[color=blue] at (0.7,0.4) {$\boldsymbol{v}''_{23}$};
+\node[color=blue] at (2.7,-0.7) {$\boldsymbol{v}''$};
 \node at (3.1,-1.4) {$a_1$};
 \node at (-2.7,-2.4) {$a_3$};
 \node at (-0.7,3.4) {$a_2$};