Merge branch 'AndreasFMueller:master' into master

12 files changed, 201 insertions, 13 deletions

diff --git a/buch/papers/clifford/3d/Makefile b/buch/papers/clifford/3d/Makefile
index 70dffe3..147ca81 100644
--- a/buch/papers/clifford/3d/Makefile
+++ b/buch/papers/clifford/3d/Makefile
@@ -3,28 +3,36 @@
 #
 # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 #
-all:	dq.jpg q23.jpg q31.jpg drehung.jpg
+all:	dq.jpg q23.jpg q31.jpg drehung.jpg dq.pdf qq.pdf drehung.pdf
 
-size="+W1920 +H1080"
 size="+W3840 +H2160"
 
 dq.png:	dq.pov common.inc 
 	povray +A0.1 $(size) -Odq.png dq.pov
-dq.jpg:	dq.png
-	convert dq.png -density 300 -units PixelsPerInch dq.jpg
+dq.jpg:	dq.png Makefile
+	convert -extract 1600x1400+1500+60 dq.png -density 300 -units PixelsPerInch dq.jpg
+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
-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
new file mode 100644
index 0000000..71727d2
--- /dev/null
+++ b/buch/papers/clifford/3d/dq.pdf
diff --git a/buch/papers/clifford/3d/dq.pov b/buch/papers/clifford/3d/dq.pov
index 8002129..762eee2 100644
--- a/buch/papers/clifford/3d/dq.pov
+++ b/buch/papers/clifford/3d/dq.pov
@@ -9,9 +9,14 @@ arrow(<0,0,0>, <1, sqrt(2), 2>, r, Red)
 
 #declare r = 0.2 * r;
 
-circlearrow(<1,0,0>, <0,0,1>, <1, sqrt(2), 0>, 1,         thick, 1.8*pi/3, 3)
-circlearrow(<1,0,0>, <0,1,0>, <1,       0, 2>, sqrt(2)/2, thick, 1.8*pi/3, 3)
-circlearrow(<0,0,1>, <1,0,0>, <0, sqrt(2), 2>, 0.5,       thick, 1.8*pi/3, 3)
+#declare drehwinkel = 0.95 * 2*pi/3 * 3;
+#declare drehwinkel23 = drehwinkel;
+#declare drehwinkel12 = drehwinkel / sqrt(2);
+#declare drehwinkel13 = drehwinkel / 2;
+
+circlearrow(<1,0,0>, <0,0,1>, <1, sqrt(2), 0>, 1,         thick, drehwinkel23, 1)
+circlearrow(<1,0,0>, <0,1,0>, <1,       0, 2>, sqrt(2)/2, thick, drehwinkel12, 1)
+circlearrow(<0,0,1>, <1,0,0>, <0, sqrt(2), 2>, 0.5,       thick, drehwinkel13, 1)
 
 #declare l = 2.8;
 #declare h = 0.0001;
diff --git a/buch/papers/clifford/3d/dq.tex b/buch/papers/clifford/3d/dq.tex
new file mode 100644
index 0000000..6b28452
--- /dev/null
+++ b/buch/papers/clifford/3d/dq.tex
@@ -0,0 +1,51 @@
+%
+% dq.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{6}
+\def\hoehe{6}
+
+\begin{tikzpicture}[>=latex,thick]
+
+% Povray Bild
+\node at (0,0) {\includegraphics[width=12cm]{dq.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 (-2.8,-2.7) {$O$};
+\node at (4.7,-3.4) {$a_1$};
+\node at (-2.6,5.2) {$a_2$};
+\fill[color=white,opacity=0.7] ({-5.7-0.25},{-4.8-0.15}) rectangle ({-5.7+0.25},{-4.8+0.2});
+\node at (-5.7,-4.8) {$a_3$};
+
+\node[color=blue] at (-3.6,0.8) {$y\mathbf{e}_{23}$};
+\node[color=blue] at (2.1,0.9) {$x\mathbf{e}_{12}$};
+\node[color=blue] at (1.3,-3.7) {$z\mathbf{e}_{13}$};
+
+\node[color=darkred] at (1.3,0.4) {$\vec{q}$};
+
+\end{tikzpicture}
+
+\end{document}
+
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
new file mode 100644
index 0000000..4c55d57
--- /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..9baa8bb
--- /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) {$\boldsymbol{q}_{23}$};
+\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) {$a_2$};
+\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) {$\boldsymbol{q}_{13}$};
+\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) {$a_2$};
+\end{scope}
+
+
+\end{tikzpicture}
+
+\end{document}
+