From def3198eb5a2462d296aea81d14b6b982a722b8e Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Thu, 5 Aug 2021 18:48:54 +0200
Subject: bild 1

---
 buch/papers/clifford/3d/Makefile |   8 +++---
 buch/papers/clifford/3d/dq.pdf   | Bin 0 -> 156467 bytes
 buch/papers/clifford/3d/dq.pov   |  11 ++++++---
 buch/papers/clifford/3d/dq.tex   |  51 +++++++++++++++++++++++++++++++++++++++
 4 files changed, 64 insertions(+), 6 deletions(-)
 create mode 100644 buch/papers/clifford/3d/dq.pdf
 create mode 100644 buch/papers/clifford/3d/dq.tex

diff --git a/buch/papers/clifford/3d/Makefile b/buch/papers/clifford/3d/Makefile
index 70dffe3..87acb6d 100644
--- a/buch/papers/clifford/3d/Makefile
+++ b/buch/papers/clifford/3d/Makefile
@@ -3,15 +3,17 @@
 #
 # (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
 
 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
 
 q23.png:	q23.pov common.inc 
 	povray +A0.1 $(size) -Oq23.png q23.pov
diff --git a/buch/papers/clifford/3d/dq.pdf b/buch/papers/clifford/3d/dq.pdf
new file mode 100644
index 0000000..1bcaf2c
Binary files /dev/null and b/buch/papers/clifford/3d/dq.pdf differ
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}
+
-- 
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