4 files changed, 78 insertions, 6 deletions
diff --git a/buch/papers/clifford/3d/Makefile b/buch/papers/clifford/3d/Makefile
index 87acb6d..823ad54 100644
--- a/buch/papers/clifford/3d/Makefile
+++ b/buch/papers/clifford/3d/Makefile
@@ -3,9 +3,8 @@
 #
 # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 #
-all:	dq.jpg q23.jpg q31.jpg drehung.jpg dq.pdf
+all:	dq.jpg q23.jpg q31.jpg drehung.jpg dq.pdf qq.pdf
 
-size="+W1920 +H1080"
 size="+W3840 +H2160"
 
 dq.png:	dq.pov common.inc 
@@ -15,15 +14,20 @@ dq.jpg:	dq.png Makefile
 dq.pdf:	dq.jpg dq.tex
 	pdflatex dq.tex
 
+extract="1200x1200+1450+350"
+
 q23.png:	q23.pov common.inc 
 	povray +A0.1 $(size) -Oq23.png q23.pov
-q23.jpg:	q23.png
-	convert q23.png -density 300 -units PixelsPerInch q23.jpg
+q23.jpg:	q23.png Makefile
+	convert -extract $(extract) q23.png -density 300 -units PixelsPerInch q23.jpg
 
 q31.png:	q31.pov common.inc 
 	povray +A0.1 $(size) -Oq31.png q31.pov
-q31.jpg:	q31.png
-	convert q31.png -density 300 -units PixelsPerInch q31.jpg
+q31.jpg:	q31.png Makefile
+	convert -extract $(extract) q31.png -density 300 -units PixelsPerInch q31.jpg
+
+qq.pdf:	qq.tex q31.jpg q23.jpg
+	pdflatex qq.tex
 
 drehung.png:	drehung.pov common.inc 
 	povray +A0.1 $(size) -Odrehung.png drehung.pov
diff --git a/buch/papers/clifford/3d/dq.pdf b/buch/papers/clifford/3d/dq.pdf
index 1bcaf2c..59a1498 100644
--- a/buch/papers/clifford/3d/dq.pdf
+++ b/buch/papers/clifford/3d/dq.pdf
diff --git a/buch/papers/clifford/3d/qq.pdf b/buch/papers/clifford/3d/qq.pdf
new file mode 100644
index 0000000..07a871c
--- /dev/null
+++ b/buch/papers/clifford/3d/qq.pdf
diff --git a/buch/papers/clifford/3d/qq.tex b/buch/papers/clifford/3d/qq.tex
new file mode 100644
index 0000000..c2ac1bc
--- /dev/null
+++ b/buch/papers/clifford/3d/qq.tex
@@ -0,0 +1,68 @@
+%
+% qq.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{times}
+\usepackage{amsmath}
+\usepackage{txfonts}
+\usepackage[utf8]{inputenc}
+\usepackage{graphics}
+\usetikzlibrary{arrows,intersections,math}
+\usepackage{ifthen}
+\begin{document}
+
+\definecolor{darkred}{rgb}{0.7,0,0}
+
+\newboolean{showgrid}
+\setboolean{showgrid}{false}
+\def\breite{4}
+\def\hoehe{4}
+
+\begin{tikzpicture}[>=latex,thick]
+
+% Povray Bild
+\begin{scope}[xshift=-3.3cm]
+\node at (0,0) {\includegraphics[width=6.3cm]{q23.jpg}};
+% Gitter
+\ifthenelse{\boolean{showgrid}}{
+\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw                            (-\breite,-\hoehe) grid (\breite, \hoehe);
+\fill (0,0) circle[radius=0.05];
+}{}
+\fill[color=white,opacity=0.5] ({-0.6-0.3},{-0.2-0.2}) rectangle ({-0.6+0.3},{-0.2+0.2});
+\node[color=darkred] at (-0.6,-0.2) {$q_{23}$};
+\node[color=blue] at (-0.4,2.7) {$\mathbf{v}$};
+\node[color=blue] at (0.7,0.4) {$\mathbf{v}''_{23}$};
+\node at (3.1,-1.4) {$a_1$};
+\node at (-2.7,-2.4) {$a_3$};
+\node at (-0.7,3.4) {$a_2$};
+\end{scope}
+
+\setboolean{showgrid}{false}
+
+\begin{scope}[xshift=3.3cm]
+\node at (0,0) {\includegraphics[width=6.3cm]{q31.jpg}};
+% Gitter
+\ifthenelse{\boolean{showgrid}}{
+\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw                            (-\breite,-\hoehe) grid (\breite, \hoehe);
+\fill (0,0) circle[radius=0.05];
+}{}
+\fill[color=white,opacity=0.5] ({-0.7-0.3},{-0.9-0.2}) rectangle ({-0.7+0.3},{-0.9+0.2});
+\node[color=darkred] at (-0.7,-0.9) {$q_{13}$};
+\node[color=blue] at (0.7,0.4) {$\mathbf{v}''_{23}$};
+\node[color=blue] at (2.7,-0.7) {$\mathbf{v}''$};
+\node at (3.1,-1.4) {$a_1$};
+\node at (-2.7,-2.4) {$a_3$};
+\node at (-0.7,3.4) {$a_2$};
+\end{scope}
+
+
+\end{tikzpicture}
+
+\end{document}
+