diff options
Diffstat (limited to '')
| -rw-r--r-- | buch/papers/clifford/3d/Makefile | 28 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/dq.jpg | bin | 0 -> 135038 bytes | |||
| -rw-r--r-- | buch/papers/clifford/3d/dq.pdf | bin | 0 -> 156467 bytes | |||
| -rw-r--r-- | buch/papers/clifford/3d/dq.pov | 11 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/dq.tex | 51 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/drehung.jpg | bin | 0 -> 203814 bytes | |||
| -rw-r--r-- | buch/papers/clifford/3d/drehung.pdf | bin | 0 -> 224521 bytes | |||
| -rw-r--r-- | buch/papers/clifford/3d/drehung.tex | 56 | ||||
| -rw-r--r-- | buch/papers/clifford/3d/q23.jpg | bin | 0 -> 77888 bytes | |||
| -rw-r--r-- | buch/papers/clifford/3d/q31.jpg | bin | 0 -> 75576 bytes | |||
| -rw-r--r-- | buch/papers/clifford/3d/qq.pdf | bin | 0 -> 170756 bytes | |||
| -rw-r--r-- | buch/papers/clifford/3d/qq.tex | 68 |
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 Binary files differnew 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 Binary files differnew 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}$}; + +\end{tikzpicture} + +\end{document} + diff --git a/buch/papers/clifford/3d/drehung.jpg b/buch/papers/clifford/3d/drehung.jpg Binary files differnew file mode 100644 index 0000000..ad7cd47 --- /dev/null +++ b/buch/papers/clifford/3d/drehung.jpg diff --git a/buch/papers/clifford/3d/drehung.pdf b/buch/papers/clifford/3d/drehung.pdf Binary files differnew file mode 100644 index 0000000..de29085 --- /dev/null +++ b/buch/papers/clifford/3d/drehung.pdf diff --git a/buch/papers/clifford/3d/drehung.tex b/buch/papers/clifford/3d/drehung.tex new file mode 100644 index 0000000..2ed6789 --- /dev/null +++ b/buch/papers/clifford/3d/drehung.tex @@ -0,0 +1,56 @@ +% +% drehung.tex +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\documentclass[tikz]{standalone} +\usepackage{times} +\usepackage{amsmath} +\usepackage{txfonts} +\usepackage[utf8]{inputenc} +\usepackage{graphics} +\usetikzlibrary{arrows,intersections,math} +\usepackage{ifthen} +\begin{document} + +\definecolor{darkgreen}{rgb}{0,0.6,0} +\definecolor{darkred}{rgb}{0.6,0,0} + +\newboolean{showgrid} +\setboolean{showgrid}{false} +\def\breite{7} +\def\hoehe{6} + +\begin{tikzpicture}[>=latex,thick] + +% Povray Bild +\node at (0,0) {\includegraphics[width=13cm]{drehung.jpg}}; + +% Gitter +\ifthenelse{\boolean{showgrid}}{ +\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe); +\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe); +\draw (-\breite,-\hoehe) grid (\breite, \hoehe); +\fill (0,0) circle[radius=0.05]; +}{} + +\node at (6.1,-3.3) {$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 Binary files differnew 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 Binary files differnew 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 Binary files differnew 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} + |
