Il s'agit d'une application des packages pst-nltr et pst-solides3d dédiée à la représentation des objets en perspective linéaire. Les fichiers perspective-lineaire.pdf et perspective-lineaire.tex sont dans le sous-dossier juillet2013 du dossier :
Les dessins au format eps (mickey2.eps et Bart.eps) servant à illustrer ce document sont inclus dans le répertoire qui contient le package pst-nltr (pst-nltr.pro, pst-nltr.tex, pst-nltr.sty), il est indiqué ci-dessus.
Ce document comprend une étude théorique et des exemples. En voici quelques images :
Mickey dans le quadrillage est l’image que le peintre doit représenter sur sa toile.
Ci-dessous le dessin du peintre :
mardi 13 août 2013
dimanche 4 août 2013
Variations typographiques : Dans la Bulle
Bonnes Vacances !
Le code permettant de produire les 36 images :
\documentclass{article}
\usepackage{pst-nltr}
\pagestyle{empty}
\begin{document}
\begin{center}
\multido{\i=-180+10}{36}{%
\begin{pspicture}(-5,-5)(5,5)
\psgrid[subgriddiv=0,gridcolor=lightgray,griddots=10,gridlabels=0pt](-5,-5)(5,5)
\psframe*[linecolor=cyan!5](-5,-5)(5,5)
\psframe(-5,-5)(5,5)
\def\SIZEFONT{0.75 }%
\pstVerb{
/SIZEFONT \SIZEFONT def
/arccos {
dup
dup mul neg 1 add sqrt
exch
atan
} def
/Hb \i\space cos 0.75 mul def
/Hs \i\space cos 0.1 mul def
/rotB \i\space cos 30 mul def
/FC {
/y exch def
/x exch def
% wx est la largeur du texte
% wx/2 est le rayon de la bulle
% je prends 1.99 au lieu de 2
% pour éviter une erreur dans le calcul de arccos
/xM wx 1.992 div def
/theta x xM div arccos def
x
y theta sin xM mul mul 10 SIZEFONT mul div
} def}%
\psset{transform=FC}
\rput(! 0 Hb){\pscircle*[linecolor=yellow!20](0,0){!SIZEFONT 4.2 mul}
\psTransformText[fillstyle=solid,fillcolor={[rgb]{.5 1 1}},linecolor=blue,fontscale=\SIZEFONT,pos=cc,PSfont=Helvetica,rotation=rotB](0,0){DANS LA BULLE}%
\pscircle(0,0){!SIZEFONT 4.2 mul}}
\pscustom[fillstyle=solid,fillcolor=green!20,opacity=0.5]{%
\psline(-5,-5)(5,-5)(5,-2)
\psplot[algebraic,plotpoints=1080]{5}{-5}{Hs*sin(5*x)}
\closepath
}%
\end{pspicture}\newpage}
\end{center}
\end{document}
vendredi 2 août 2013
Voici le drapeau allemand flottant par grand vent : une idée de Gilg Jürgen.
Le code utilise la macro \psFrameNL(llx,lly)(urx,ury) qui a été intégrée dans le package pst-nltr mis à jour :
Il est constitué de pst-nltr.pro, pst-nltr.sty et pst-nltr.tex qui sont dans le répertoire :
applications-conformes
Le code permettant de créer les 288 images de l'animation de Gilg Jürgen :
\documentclass[fleqn]{article}
\usepackage[T1]{fontenc}
\usepackage{multido}
\usepackage{pst-nltr}
\pagestyle{empty}
\definecolor{germanRed}{HTML}{FF0000}
\definecolor{germanGold}{HTML}{FFCC00}
\begin{document}
\begin{center}
\multido{\i=0+1}{288}{
\begin{pspicture}[showgrid=false](-2,-2)(6,5)
\psframe*[linecolor=cyan!10!white](-2.1,-2.1)(6,5.1)
\psframe(-2.1,-2.1)(6,5.1)
\pstVerb{
/Frequence {1 144 div} bind def
/temps \i\space def % \`{a} incr\'{e}menter de 1 en 1 => 36
/FC {
/y exch def
/x exch def
/r x dup mul y dup mul add sqrt def
/Lambda 8 def % longueur d'onde
360 Frequence temps mul r Lambda div sub mul cos 0.5 mul
x add
360 Frequence temps mul r Lambda div sub mul cos 0.5 mul
y add
} def}%
\psset{transform=FC}
\psFrameNL[fillstyle=solid,fillcolor=black,linecolor=black](0,3)(5,4)%
\psFrameNL[fillstyle=solid,fillcolor=germanRed,linecolor=germanRed](0,2)(5,3)%
\psFrameNL[fillstyle=solid,fillcolor=germanGold,linecolor=germanGold](0,1)(5,2)
\psFrameNL(0,1)(5,4)
\psCircleNL[fillstyle=solid,fillcolor=white](0.25,1.25){0.1}
\psCircleNL[fillstyle=solid,fillcolor=white](0.25,3.75){0.1}
\pnodeNL(0.25,3.75){A}
\pnodeNL(0.25,1.25){B}
\psline[linecolor=gray!50!orange,linewidth=0.1,linecap=1](-2,-2)(-2,5)
\psline(-1.9,1.25)(B)\psline(-1.9,3.75)(A)
\psellipse(-2,1.25)(0.1,0.05)
\psellipse(-2,3.75)(0.1,0.05)
\psline[linecolor=gray!50!orange,linewidth=0.1](-2,5)(-2,3.75)
\psline[linecolor=gray!50!orange,linewidth=0.1](-2,2)(-2,1.25)
\pscurve(-1.9,1.25)(-1.8,2.5)(-1.9,3.75)
\pstVerb{
/FC {
/y exch cm_1 def
/x exch cm_1 def
/r x dup mul y dup mul add sqrt def
/Lambda 8 def % longueur d'onde
360 Frequence temps mul r Lambda div sub mul cos 0.5 mul
x add cm
360 Frequence temps mul r Lambda div sub mul cos 0.5 mul
y add cm
} def}%
\psset{transform=FC}
\psTransformText[fillstyle=solid,fillcolor=black,linewidth=0.01,fontscale=0.35,pos=bc,PSfont=Helvetica](2.5,1.25){German flag}%
\end{pspicture}\newpage}
\end{center}
\end{document}
jeudi 1 août 2013
Champ magnétique créé par un fil rectiligne, illustrations de Thomas Söll avec PSTricks
Avec la main gauche, le pouce indique le sens des électrons, qui est, évidemment, en sens inverse du sens conventionnel du courant.
Avec la main droite, le pouce indique le sens conventionnel du courant.
Ces images peuvent être agrandies.
Les fichiers (Linke-Faust4.pdf Linke-Faust4.tex) sont dans le dossier :
Je dois signaler un phénomène un peu bizarre. Si on ne met pas un \newpage ainsi qu'un petit texte entre les deux schémas, le deuxième dessin est produit la tête à l'envers par ps2pdf. Le fichier postscript est impeccable. J'en ignore la raison.
Le code :
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[a4paper,margin=2cm]{geometry}
\usepackage{pst-grad,pst-slpe,pst-3d,pst-node}
\usepackage{ifthen}
\newboolean{D}
\newboolean{G}
\setboolean{D}{true}
%\setboolean{D}{false}
%\setboolean{G}{true}
\setboolean{G}{false}
\newcommand{\Zylinder}[9]{% #1 L\"{a}nge, #2 Radius, #3 gradbegin, #4 gradend, #5 gradmidpoint
\pscustom[dimen=#9,fillstyle=gradient,gradbegin=#3,gradend=#4,gradmidpoint=#5,gradangle=90,linecolor=#6,linewidth=#7,linestyle=#8]{%
\psellipticarc(0,0)(!#2 #2 0.3 mul){180}{360}
\psellipticarcn(0,#1)(!#2 #2 0.3 mul){0}{-180}
\closepath
}
\psellipse[fillstyle=gradient,gradbegin=#3,gradend=#4,gradmidpoint=0.55,gradangle=30,linestyle=none,linewidth=0pt](0,#1)(!#2 #2 0.3 mul)
}
\newcommand{\MagnetNadel}[4]{%
\rput(!#1 #2){\Zylinder{0.1}{0.22}{black!90!cyan!90}{black!40!cyan!10}{0.3}{black!90!cyan!90}{0.1pt}{none}{middle}}
\rput(!#1 #2 0.1 add){\Zylinder{0.3}{0.05}{black!90!cyan!90}{black!40!cyan!10}{0.3}{black!90!cyan!90}{0pt}{none}{middle}}
\rput(!#1 #2 0.4 add){\Zylinder{0.1}{0.015}{black!90!cyan!90}{black!40!cyan!10}{0.3}{black!90!cyan!90}{0pt}{none}{middle}}
\rput(!#1 #2 0.5 add){\pstilt{#3}{\rput{#4}(0,0){\psline[linecolor=red,linewidth=0.5pt,arrowscale=1.5,arrowlength=1.8,arrowinset=0]{->}(0,0)(0.238,0)
\psline[linecolor=green,linewidth=0.5pt,arrowscale=1.5,arrowlength=1.8,arrowinset=0]{<- br="">}}}
\rput(!#1 #2 0.5 add){\Zylinder{0.04}{0.03}{black!90!brown!90}{black!40!brown!30}{0.3}{black!90!brown!90}{0pt}{none}{middle}}
}
\def\LinkeFaust#1{%
\def\tempa{#1}
\definecolor{Weiss}{rgb}{1,0.98,0.98}% 255 250 250
\definecolor{Haut}{rgb}{1,0.894,0.769}% 255 228 196
%\psset{unit=1.0}
\begin{psclip}
{\psframe[linestyle=none](0.25,0.25)(16,19.1)}
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
%\psset{showpoints}
\psbezier(0.2,7.6)(1.1,8.07)(1.8,8)(3,8.86)
\psbezier(3.4,9.15)(3.7,9.8)(3.7,10.1)
\psbezier(3.7,11.8)(4.8,13.2)(4.8,14)
\psbezier(4.8,14.4)(5.22,15.3)(5.18,17)
\psline(5.3,17.2)(5,18.65) % Fingernagel Daumen
\psbezier(5.05,18.8)(5.25,19)(5.5,19)
\psbezier(6.4,19)(7.35,16.9)(7.35,15.6)
\psbezier(7.35,15)(7.05,13.9)(7.05,13.4)
\psbezier(7.05,13.2)(7.1,12.8)(7.45,12.4) % Ende Daumen
\psbezier(7.7,12.5)(8.7,12.3)(8.9,12.2)
\psbezier(9.1,12.24)(9.7,12.24)(9.9,12.2)
\psbezier(10.1,12.3)(10.5,12.2)(10.8,12.2)
\psbezier(11,12.2)(11,12.3)(11.3,12.2)
\psbezier(11.5,12.22)(13.1,11.68)(13.2,11.57)
\psline(13.2,11.57)(10.2,3.8)
\psbezier(9.3,3.3)(7.8,3.3)(7.4,3.3)
\psbezier(6.8,3.3)(6.3,3.2)(5.2,3.5)
\psbezier(3.2,2.6)(3.2,2.6)(0.2,0.1)
\closepath
}
\end{psclip}
% Fingernagel Daumen
\pscustom[fillstyle=solid,fillcolor=red!10,linecolor=black!50,linewidth=0.8pt,opacity=1]{%
%
\psbezier(5.18,17.0)(5.45,17.2)(5.42,17.2)(5.4,17.4)
\psbezier(5.3,18.4)(5.4,18.4)(5,18.65)
\psbezier(4.95,18.0)(4.9,18.0)(5.18,17.0)
\closepath
}
% Linien in Handfl\"{a}che und Daumen
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(3,6)(3.1,5.4)(3.25,5)(3.5,4.6)
\psbezier(4.65,3.85)(4.73,3.7)(4.73,3.6)(4.8,3.35)
\psbezier(4.8,4.8)(5.1,4.35)(5.2,4)(5.2,3.5)
\psbezier(2.9,8.4)(3.15,5.7)(4.4,5.2)(4.6,4.4)
\psbezier(3.15,8.5)(3.3,7)(4.1,6)(4.6,5.4)
\psbezier(3.35,8.8)(3.5,7.6)(4.0,7)(4.6,6.6)
\psbezier(4.6,6.1)(4.8,5.85)(4.98,5.7)(5.2,5.6)
\psbezier(5.6,5.4)(9.7,8)(10,9.5)(10,10.1)
\psbezier(10,10.1)(10,10.6)(10,11)(9.5,11.6)
\psbezier(5.7,6.3)(6.2,6.45)(6.4,6.45)(6.8,6.4)
\psbezier(7,7.2)(6.9,6.5)(6.8,6.5)(6.75,6.2)
\psbezier(7.6,9)(7.8,8.2)(7.8,7)(7.5,6.4)
\psbezier(8,12.25)(9.3,11.85)(9.4,11)(9.4,10.4)
\psbezier(10.05,12)(10,11)(10,9.8)(10.05,8.86)
\psbezier(11.18,12)(11,11.2)(11.0,10.5)(11.4,9.8)
\psbezier(7.45,12.4)(7.6,12.2)(7.63,12.05)(7.9,11.9)
\psbezier(5.1,15.44)(5.25,15.44)(5.35,15.32)(5.5,15.32)
\psbezier(5,14.95)(5.3,14.95)(5.3,14.96)(5.54,15.07)
\psbezier(6.7,15.38)(7,15.42)(7,15.4)(7.35,15.6)
}
%--------------------------------------------------------------
%---------------- Platz f\"{u}r Material in der Hand --------------
%--------------------------------------------------------------
%\pscoil[coilheight=0.35,coilwidth=3,linewidth=1.3pt](10,2)(10,15)
\rput(11,0){\Zylinder{19}{0.25}{red!30!brown!90}{orange!30}{0.3}{red!30!brown!90}{1pt}{none}{middle}}
%% Elektronen
\newpsstyle{Elektron}{linecolor=black!30,slopebegin=blue!30,sloperadius=0.07,linestyle=none,slopecenter=0.65 0.65}
\def\Elektron{%
\psline[linewidth=0.3pt,arrowinset=0.06,arrowscale=0.3,arrowlength=1.2,arrowsize=0.25]{->}(0,0)(0,0.25)
\psBall[style=Elektron](0,0){blue!90}{.1}
\rput[c]{0}(0,0){\psline[linewidth=0.4pt,linecolor=white](-0.02,0)(0.02,0)}
}
\rput(7,-3){%
\pnode(-2,2){F}
\pnode(2,6){G}
\pnode(3.75,6){H}
\pnode(4.25,6){I}
\pnode(10,6.0){D}
\pnode(7,2.0){E}
\pnode(-2,1.6){A}
\pnode(7,1.6){B}
\pnode(10,5.6){C}
\pnode(2,5.6){J}
\psline[linestyle=dashed,linewidth=0.4pt,linecolor=blue!60,linestyle=dashed,dash=3pt 2pt](A)(J)(C)
\psline[linestyle=dashed,linewidth=0.4pt,linecolor=blue!60,linestyle=dashed,dash=3pt 2pt](G)(J)
\rput(4,0){\Zylinder{22}{0.25}{red!30!brown!90}{orange!30}{0.3}{red!30!brown!90}{1pt}{none}{middle}}
\ifthenelse{\boolean{\tempa}}
{
\rput(4.1,0.5){\Elektron}
\rput(3.9,1.1){\Elektron}
\rput(4.0,1.7){\Elektron}
\rput(4.1,2.4){\Elektron}
\rput(4.0,3.2){\Elektron}
}
{}
\pscustom[dimen=middle,fillstyle=solid,opacity=0.7,fillcolor=blue!25,linewidth=0.7pt,linestyle=none]{%
\psline(F)(G)(H)
\psellipticarc(4,4)(0.25,0.1){180}{360}
\psline(I)(D)(E)
\closepath
}
\pspolygon[fillstyle=solid,opacity=0.7,fillcolor=blue!60,linewidth=0.4pt,linecolor=blue!70,linestyle=none](E)(B)(C)(D)
\pspolygon[fillstyle=solid,opacity=0.7,fillcolor=blue!45,linewidth=0.4pt,linecolor=blue!70,linestyle=none](A)(B)(E)(F)
\psellipticarc[linewidth=0.4pt,linecolor=blue!70](4,4)(0.25,0.1){180}{360}
\psellipticarc[linewidth=0.4pt,linecolor=blue!50,linestyle=dashed,dash=3pt 2pt](4,3.6)(0.25,0.1){180}{360}
\psellipse[rot=5,linewidth=0.6pt,linestyle=dashed,dash=3pt 2pt,linecolor=blue](4,4)(2,0.8)
\psellipse[rot=5,linewidth=0.6pt,linestyle=dashed,dash=3pt 2pt,linecolor=blue](4,3.9)(3.5,1.5)
\rput(4,4.2){\Zylinder{17.8}{0.25}{red!30!brown!90}{orange!30}{0.3}{red!30!brown!90}{0pt}{none}{middle}}
\MagnetNadel{5.8}{3.8}{30}{265}
\MagnetNadel{3.5}{3.2}{20}{180}
\MagnetNadel{2.1}{4.1}{30}{80}
\MagnetNadel{4.6}{4.8}{20}{0}
\MagnetNadel{6.75}{5}{20}{340}
\MagnetNadel{5.3}{2.6}{30}{230}
\MagnetNadel{1}{2.92}{25}{155}
\MagnetNadel{2.4}{5.1}{20}{60}
}
%
\ifthenelse{\boolean{\tempa}}
{%
\rput(11.1,1){\Elektron}
\rput(10.9,1.6){\Elektron}
\rput(11.0,2){\Elektron}
\rput(11.1,2.5){\Elektron}
\rput(11.0,3){\Elektron}
\rput(11.1,10){\Elektron}
\rput(10.9,10.6){\Elektron}
\rput(11.0,11){\Elektron}
\rput(11.1,11.5){\Elektron}
\rput(11.0,12){\Elektron}
\rput(10.9,12.5){\Elektron}
\rput(11.1,13){\Elektron}
\rput(10.9,13.6){\Elektron}
\rput(11.0,14){\Elektron}
\rput(11.1,14.5){\Elektron}
\rput(11.0,15){\Elektron}
\rput(10.9,15.5){\Elektron}
\rput(11.1,16){\Elektron}
\rput(10.9,16.6){\Elektron}
\rput(11.0,17){\Elektron}
\rput(11.1,17.5){\Elektron}
\rput(11.0,18){\Elektron}
\rput(10.9,18.5){\Elektron}
}
{%
\rput(11,-2.7){\Large\textcolor{black}{$+$}}
\rput(11,18.6){\Large\textcolor{black}{$-$}}
}
% kleiner Finger
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
\psbezier(14.0,4.95)(14.2,4.7)(14.18,4.2)(13.8,3.8)
\psbezier(13.2,3.51)(13.0,3.38)(12.0,3.25)
\psbezier(11.8,3.22)(11.7,3.23)(11.5,3.25)
\psbezier(11.3,3.27)(11.0,3.3)(10.75,3.4)
\psbezier(10.53,3.51)(10.1,3.45)(9.75,3.95)
\psbezier(9.65,4.15)(9.65,4.4)(9.8,4.55)
%\psbezier(8.87,5.9)(9.3,6.19)(9.8,6.2)
\closepath
}
% Fingernagel kleiner Finger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(11.2,4.35)(11.35,4.15)(11.35,4.0)(11.2,3.86)
\psbezier(11.1,3.81)(11,3.76)(10.8,3.78)
\psbezier(10.1,3.84)(10.13,3.9)(10.08,4)
\psbezier(10.05,4.12)(10.05,4.4)(10.18,4.5)
\closepath
}
% Linien im kleinen Finger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(12.1,4.2)(12.2,3.75)(12.2,3.75)(12.0,3.4)
\psbezier(12.35,4.15)(12.4,3.75)(12.4,3.75)(12.25,3.45)
\psbezier(13.7,4.8)(13.8,4.5)(13.8,4.5)(13.7,4.18)
}
% Ringfinger
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
\psbezier(14.65,7.1)(15.0,6.8)(15.18,6.6)(15.18,6.12)
\psbezier(15.18,5.85)(15.2,5.5)(14.2,5.0)
\psbezier(13.0,4.45)(12.8,4.45)(12.4,4.4)
\psbezier(11.6,4.25)(11.6,4.23)(10.86,4.4)
\psbezier(10.4,4.42)(10.0,4.5)(9.85,4.5)
\psbezier(9.2,4.5)(8.87,5.0)(8.87,5.5)
\psbezier(8.87,5.9)(9.3,6.19)(9.8,6.2)
\closepath
}
% Fingernagel Ringfinger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(10.73,5)(10.73,4.83)(10.7,4.58)(9.5,4.72)
\psbezier(9.25,5.43)(9.4,5.7)(9.65,5.9)
\psbezier(10.65,5.7)(10.73,5.4)(10.73,5)
\closepath
}
% Linien im Ringfinger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(11.9,5.6)(12.0,5.1)(12.0,5.0)(11.9,4.6)
\psbezier(12.2,5.55)(12.3,5.1)(12.3,5.0)(12.2,4.65)
\psbezier(14.4,6.7)(14.8,6.6)(14.92,6)(14.85,5.8)
}
% Mittelfinger
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
\psbezier(14.4,9.75)(15,9.5)(15.4,9)(15.4,8.2)
\psbezier(15.4,7.95)(15.4,7.7)(14.7,7.02)
\psbezier(14.1,6.5)(12.8,5.95)(12.4,5.95)
\psbezier(12.2,5.95)(11.9,6.02)(10.7,6.02)
\psbezier(10.5,6.02)(10.4,6.03)(10.2,6.02)
\psbezier(9.74,6.01)(9.57,6.37)(9.57,6.7)
\psbezier(9.57,7)(9.75,7.46)(10.3,7.7)
\closepath
}
% Fingernagel Mittelfinger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(11.42,6.5)(11.42,6.02)(11,6.06)(10.7,6.05)
\psbezier(10.2,6.07)(9.95,6.2)(9.95,6.5)
\psbezier(9.95,6.8)(10.15,7.22)(10.45,7.22)
\psbezier(10.5,7.22)(10.85,7.15)(10.98,7.13)
\psbezier(11.02,7.12)(11.15,7.09)(11.25,7.0)
\psbezier(11.3,6.96)(11.42,6.8)(11.42,6.5)
\closepath
}
% Linien im Mittelfinger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(12.6,7.2)(12.9,6.92)(12.85,6.6)(12.8,6.25)
\psbezier(12.9,7.2)(13.1,6.92)(13.15,6.7)(13.1,6.35)
\psbezier(14.6,9.2)(15,8.9)(15.05,8.6)(15.1,8.3)
%\psbezier(11.42,6.5)(11.42,6.02)(11,6.1)(10.7,6.05)
}
% Zeigefinger
\pscustom[fillstyle=solid,fillcolor=Haut,linestyle=none,opacity=1]{%
%
\psbezier(13.2,11.57)(14.16,11.25)(14.5,10.6)(14.4,9.75)
\psbezier(13.6,9.4)(13.5,8.95)(13,8.6)
\psbezier(12.4,8.1)(11.5,7.73)(10.8,7.73)
\psbezier(10.65,7.73)(10.4,7.7)(10.16,7.64)
\psbezier(9.7,8)(9.78,8.25)(9.78,8.35)
\psbezier(9.78,8.6)(9.9,9)(10.3,9.35)
\psbezier(11.2,10)(11.45,10.0)(11.7,10.4)
\psbezier(12.1,11)(12.6,11.48)(12.9,11.51)
\closepath
}
% Randlinie Zeigefinger
{\psset{linewidth=0.9pt,linecolor=black!50}
\psbezier(13.2,11.57)(14.16,11.25)(14.5,10.6)(14.4,9.75)
\psbezier(14.4,9.75)(13.6,9.4)(13.5,8.95)(13,8.6)
\psbezier(13,8.6)(12.4,8.1)(11.5,7.73)(10.8,7.73)
\psbezier(10.8,7.73)(10.65,7.73)(10.4,7.7)(10.16,7.64)
\psbezier(10.16,7.64)(9.7,8)(9.78,8.25)(9.78,8.35)
\psbezier(9.78,8.35)(9.78,8.6)(9.9,9)(10.3,9.35)
\psbezier(10.3,9.35)(11.2,10)(11.45,10.0)(11.7,10.4)
\psbezier(11.7,10.4)(12.1,11)(12.6,11.48)(12.9,11.51)
}
% Fingernagel Zeigefinger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(11.7,8.45)(11.7,7.85)(10.9,7.73)(10.8,7.73)
\psbezier(10.7,7.73)(10.6,7.72)(10.48,7.7)
\psbezier(10.33,7.97)(10.36,8.1)(10.35,8.2)
\psbezier(10.36,8.77)(10.96,8.86)(11.1,8.86)
\psbezier(11.4,8.86)(11.7,8.7)(11.7,8.45)
\closepath
}
% Linien im Zeigefinger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(12.2,9.6)(12.48,9.4)(12.5,9.2)(12.6,8.8)
\psbezier(12.5,9.7)(12.65,9.55)(12.7,9.4)(12.8,9.1)
\psbezier(13.6,10.8)(13.9,10.6)(14.02,10.4)(14.04,10)
}
}
\begin{document}
Avec la main gauche, le pouce indique le sens des électrons, qui est, évidemment, en sens inverse du sens conventionnel du courant.
\begin{center}
\begin{pspicture}[showgrid=false,shift=0](0,-3)(15.5,19)
\LinkeFaust{D} %
\end{pspicture}
\end{center}
\newpage
Avec la main droite, le pouce indique le sens conventionnel du courant.
\begin{center}
\begin{pspicture}[showgrid=false,shift=0](0,-3)(-15.5,20)
\psscalebox{-1 1}{\LinkeFaust{G}}
\end{pspicture}
\end{center}
\end{document} ->
Avec la main droite, le pouce indique le sens conventionnel du courant.
Ces images peuvent être agrandies.
Les fichiers (Linke-Faust4.pdf Linke-Faust4.tex) sont dans le dossier :
Je dois signaler un phénomène un peu bizarre. Si on ne met pas un \newpage ainsi qu'un petit texte entre les deux schémas, le deuxième dessin est produit la tête à l'envers par ps2pdf. Le fichier postscript est impeccable. J'en ignore la raison.
Le code :
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[a4paper,margin=2cm]{geometry}
\usepackage{pst-grad,pst-slpe,pst-3d,pst-node}
\usepackage{ifthen}
\newboolean{D}
\newboolean{G}
\setboolean{D}{true}
%\setboolean{D}{false}
%\setboolean{G}{true}
\setboolean{G}{false}
\newcommand{\Zylinder}[9]{% #1 L\"{a}nge, #2 Radius, #3 gradbegin, #4 gradend, #5 gradmidpoint
\pscustom[dimen=#9,fillstyle=gradient,gradbegin=#3,gradend=#4,gradmidpoint=#5,gradangle=90,linecolor=#6,linewidth=#7,linestyle=#8]{%
\psellipticarc(0,0)(!#2 #2 0.3 mul){180}{360}
\psellipticarcn(0,#1)(!#2 #2 0.3 mul){0}{-180}
\closepath
}
\psellipse[fillstyle=gradient,gradbegin=#3,gradend=#4,gradmidpoint=0.55,gradangle=30,linestyle=none,linewidth=0pt](0,#1)(!#2 #2 0.3 mul)
}
\newcommand{\MagnetNadel}[4]{%
\rput(!#1 #2){\Zylinder{0.1}{0.22}{black!90!cyan!90}{black!40!cyan!10}{0.3}{black!90!cyan!90}{0.1pt}{none}{middle}}
\rput(!#1 #2 0.1 add){\Zylinder{0.3}{0.05}{black!90!cyan!90}{black!40!cyan!10}{0.3}{black!90!cyan!90}{0pt}{none}{middle}}
\rput(!#1 #2 0.4 add){\Zylinder{0.1}{0.015}{black!90!cyan!90}{black!40!cyan!10}{0.3}{black!90!cyan!90}{0pt}{none}{middle}}
\rput(!#1 #2 0.5 add){\pstilt{#3}{\rput{#4}(0,0){\psline[linecolor=red,linewidth=0.5pt,arrowscale=1.5,arrowlength=1.8,arrowinset=0]{->}(0,0)(0.238,0)
\psline[linecolor=green,linewidth=0.5pt,arrowscale=1.5,arrowlength=1.8,arrowinset=0]{<- br="">}}}
\rput(!#1 #2 0.5 add){\Zylinder{0.04}{0.03}{black!90!brown!90}{black!40!brown!30}{0.3}{black!90!brown!90}{0pt}{none}{middle}}
}
\def\LinkeFaust#1{%
\def\tempa{#1}
\definecolor{Weiss}{rgb}{1,0.98,0.98}% 255 250 250
\definecolor{Haut}{rgb}{1,0.894,0.769}% 255 228 196
%\psset{unit=1.0}
\begin{psclip}
{\psframe[linestyle=none](0.25,0.25)(16,19.1)}
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
%\psset{showpoints}
\psbezier(0.2,7.6)(1.1,8.07)(1.8,8)(3,8.86)
\psbezier(3.4,9.15)(3.7,9.8)(3.7,10.1)
\psbezier(3.7,11.8)(4.8,13.2)(4.8,14)
\psbezier(4.8,14.4)(5.22,15.3)(5.18,17)
\psline(5.3,17.2)(5,18.65) % Fingernagel Daumen
\psbezier(5.05,18.8)(5.25,19)(5.5,19)
\psbezier(6.4,19)(7.35,16.9)(7.35,15.6)
\psbezier(7.35,15)(7.05,13.9)(7.05,13.4)
\psbezier(7.05,13.2)(7.1,12.8)(7.45,12.4) % Ende Daumen
\psbezier(7.7,12.5)(8.7,12.3)(8.9,12.2)
\psbezier(9.1,12.24)(9.7,12.24)(9.9,12.2)
\psbezier(10.1,12.3)(10.5,12.2)(10.8,12.2)
\psbezier(11,12.2)(11,12.3)(11.3,12.2)
\psbezier(11.5,12.22)(13.1,11.68)(13.2,11.57)
\psline(13.2,11.57)(10.2,3.8)
\psbezier(9.3,3.3)(7.8,3.3)(7.4,3.3)
\psbezier(6.8,3.3)(6.3,3.2)(5.2,3.5)
\psbezier(3.2,2.6)(3.2,2.6)(0.2,0.1)
\closepath
}
\end{psclip}
% Fingernagel Daumen
\pscustom[fillstyle=solid,fillcolor=red!10,linecolor=black!50,linewidth=0.8pt,opacity=1]{%
%
\psbezier(5.18,17.0)(5.45,17.2)(5.42,17.2)(5.4,17.4)
\psbezier(5.3,18.4)(5.4,18.4)(5,18.65)
\psbezier(4.95,18.0)(4.9,18.0)(5.18,17.0)
\closepath
}
% Linien in Handfl\"{a}che und Daumen
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(3,6)(3.1,5.4)(3.25,5)(3.5,4.6)
\psbezier(4.65,3.85)(4.73,3.7)(4.73,3.6)(4.8,3.35)
\psbezier(4.8,4.8)(5.1,4.35)(5.2,4)(5.2,3.5)
\psbezier(2.9,8.4)(3.15,5.7)(4.4,5.2)(4.6,4.4)
\psbezier(3.15,8.5)(3.3,7)(4.1,6)(4.6,5.4)
\psbezier(3.35,8.8)(3.5,7.6)(4.0,7)(4.6,6.6)
\psbezier(4.6,6.1)(4.8,5.85)(4.98,5.7)(5.2,5.6)
\psbezier(5.6,5.4)(9.7,8)(10,9.5)(10,10.1)
\psbezier(10,10.1)(10,10.6)(10,11)(9.5,11.6)
\psbezier(5.7,6.3)(6.2,6.45)(6.4,6.45)(6.8,6.4)
\psbezier(7,7.2)(6.9,6.5)(6.8,6.5)(6.75,6.2)
\psbezier(7.6,9)(7.8,8.2)(7.8,7)(7.5,6.4)
\psbezier(8,12.25)(9.3,11.85)(9.4,11)(9.4,10.4)
\psbezier(10.05,12)(10,11)(10,9.8)(10.05,8.86)
\psbezier(11.18,12)(11,11.2)(11.0,10.5)(11.4,9.8)
\psbezier(7.45,12.4)(7.6,12.2)(7.63,12.05)(7.9,11.9)
\psbezier(5.1,15.44)(5.25,15.44)(5.35,15.32)(5.5,15.32)
\psbezier(5,14.95)(5.3,14.95)(5.3,14.96)(5.54,15.07)
\psbezier(6.7,15.38)(7,15.42)(7,15.4)(7.35,15.6)
}
%--------------------------------------------------------------
%---------------- Platz f\"{u}r Material in der Hand --------------
%--------------------------------------------------------------
%\pscoil[coilheight=0.35,coilwidth=3,linewidth=1.3pt](10,2)(10,15)
\rput(11,0){\Zylinder{19}{0.25}{red!30!brown!90}{orange!30}{0.3}{red!30!brown!90}{1pt}{none}{middle}}
%% Elektronen
\newpsstyle{Elektron}{linecolor=black!30,slopebegin=blue!30,sloperadius=0.07,linestyle=none,slopecenter=0.65 0.65}
\def\Elektron{%
\psline[linewidth=0.3pt,arrowinset=0.06,arrowscale=0.3,arrowlength=1.2,arrowsize=0.25]{->}(0,0)(0,0.25)
\psBall[style=Elektron](0,0){blue!90}{.1}
\rput[c]{0}(0,0){\psline[linewidth=0.4pt,linecolor=white](-0.02,0)(0.02,0)}
}
\rput(7,-3){%
\pnode(-2,2){F}
\pnode(2,6){G}
\pnode(3.75,6){H}
\pnode(4.25,6){I}
\pnode(10,6.0){D}
\pnode(7,2.0){E}
\pnode(-2,1.6){A}
\pnode(7,1.6){B}
\pnode(10,5.6){C}
\pnode(2,5.6){J}
\psline[linestyle=dashed,linewidth=0.4pt,linecolor=blue!60,linestyle=dashed,dash=3pt 2pt](A)(J)(C)
\psline[linestyle=dashed,linewidth=0.4pt,linecolor=blue!60,linestyle=dashed,dash=3pt 2pt](G)(J)
\rput(4,0){\Zylinder{22}{0.25}{red!30!brown!90}{orange!30}{0.3}{red!30!brown!90}{1pt}{none}{middle}}
\ifthenelse{\boolean{\tempa}}
{
\rput(4.1,0.5){\Elektron}
\rput(3.9,1.1){\Elektron}
\rput(4.0,1.7){\Elektron}
\rput(4.1,2.4){\Elektron}
\rput(4.0,3.2){\Elektron}
}
{}
\pscustom[dimen=middle,fillstyle=solid,opacity=0.7,fillcolor=blue!25,linewidth=0.7pt,linestyle=none]{%
\psline(F)(G)(H)
\psellipticarc(4,4)(0.25,0.1){180}{360}
\psline(I)(D)(E)
\closepath
}
\pspolygon[fillstyle=solid,opacity=0.7,fillcolor=blue!60,linewidth=0.4pt,linecolor=blue!70,linestyle=none](E)(B)(C)(D)
\pspolygon[fillstyle=solid,opacity=0.7,fillcolor=blue!45,linewidth=0.4pt,linecolor=blue!70,linestyle=none](A)(B)(E)(F)
\psellipticarc[linewidth=0.4pt,linecolor=blue!70](4,4)(0.25,0.1){180}{360}
\psellipticarc[linewidth=0.4pt,linecolor=blue!50,linestyle=dashed,dash=3pt 2pt](4,3.6)(0.25,0.1){180}{360}
\psellipse[rot=5,linewidth=0.6pt,linestyle=dashed,dash=3pt 2pt,linecolor=blue](4,4)(2,0.8)
\psellipse[rot=5,linewidth=0.6pt,linestyle=dashed,dash=3pt 2pt,linecolor=blue](4,3.9)(3.5,1.5)
\rput(4,4.2){\Zylinder{17.8}{0.25}{red!30!brown!90}{orange!30}{0.3}{red!30!brown!90}{0pt}{none}{middle}}
\MagnetNadel{5.8}{3.8}{30}{265}
\MagnetNadel{3.5}{3.2}{20}{180}
\MagnetNadel{2.1}{4.1}{30}{80}
\MagnetNadel{4.6}{4.8}{20}{0}
\MagnetNadel{6.75}{5}{20}{340}
\MagnetNadel{5.3}{2.6}{30}{230}
\MagnetNadel{1}{2.92}{25}{155}
\MagnetNadel{2.4}{5.1}{20}{60}
}
%
\ifthenelse{\boolean{\tempa}}
{%
\rput(11.1,1){\Elektron}
\rput(10.9,1.6){\Elektron}
\rput(11.0,2){\Elektron}
\rput(11.1,2.5){\Elektron}
\rput(11.0,3){\Elektron}
\rput(11.1,10){\Elektron}
\rput(10.9,10.6){\Elektron}
\rput(11.0,11){\Elektron}
\rput(11.1,11.5){\Elektron}
\rput(11.0,12){\Elektron}
\rput(10.9,12.5){\Elektron}
\rput(11.1,13){\Elektron}
\rput(10.9,13.6){\Elektron}
\rput(11.0,14){\Elektron}
\rput(11.1,14.5){\Elektron}
\rput(11.0,15){\Elektron}
\rput(10.9,15.5){\Elektron}
\rput(11.1,16){\Elektron}
\rput(10.9,16.6){\Elektron}
\rput(11.0,17){\Elektron}
\rput(11.1,17.5){\Elektron}
\rput(11.0,18){\Elektron}
\rput(10.9,18.5){\Elektron}
}
{%
\rput(11,-2.7){\Large\textcolor{black}{$+$}}
\rput(11,18.6){\Large\textcolor{black}{$-$}}
}
% kleiner Finger
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
\psbezier(14.0,4.95)(14.2,4.7)(14.18,4.2)(13.8,3.8)
\psbezier(13.2,3.51)(13.0,3.38)(12.0,3.25)
\psbezier(11.8,3.22)(11.7,3.23)(11.5,3.25)
\psbezier(11.3,3.27)(11.0,3.3)(10.75,3.4)
\psbezier(10.53,3.51)(10.1,3.45)(9.75,3.95)
\psbezier(9.65,4.15)(9.65,4.4)(9.8,4.55)
%\psbezier(8.87,5.9)(9.3,6.19)(9.8,6.2)
\closepath
}
% Fingernagel kleiner Finger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(11.2,4.35)(11.35,4.15)(11.35,4.0)(11.2,3.86)
\psbezier(11.1,3.81)(11,3.76)(10.8,3.78)
\psbezier(10.1,3.84)(10.13,3.9)(10.08,4)
\psbezier(10.05,4.12)(10.05,4.4)(10.18,4.5)
\closepath
}
% Linien im kleinen Finger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(12.1,4.2)(12.2,3.75)(12.2,3.75)(12.0,3.4)
\psbezier(12.35,4.15)(12.4,3.75)(12.4,3.75)(12.25,3.45)
\psbezier(13.7,4.8)(13.8,4.5)(13.8,4.5)(13.7,4.18)
}
% Ringfinger
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
\psbezier(14.65,7.1)(15.0,6.8)(15.18,6.6)(15.18,6.12)
\psbezier(15.18,5.85)(15.2,5.5)(14.2,5.0)
\psbezier(13.0,4.45)(12.8,4.45)(12.4,4.4)
\psbezier(11.6,4.25)(11.6,4.23)(10.86,4.4)
\psbezier(10.4,4.42)(10.0,4.5)(9.85,4.5)
\psbezier(9.2,4.5)(8.87,5.0)(8.87,5.5)
\psbezier(8.87,5.9)(9.3,6.19)(9.8,6.2)
\closepath
}
% Fingernagel Ringfinger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(10.73,5)(10.73,4.83)(10.7,4.58)(9.5,4.72)
\psbezier(9.25,5.43)(9.4,5.7)(9.65,5.9)
\psbezier(10.65,5.7)(10.73,5.4)(10.73,5)
\closepath
}
% Linien im Ringfinger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(11.9,5.6)(12.0,5.1)(12.0,5.0)(11.9,4.6)
\psbezier(12.2,5.55)(12.3,5.1)(12.3,5.0)(12.2,4.65)
\psbezier(14.4,6.7)(14.8,6.6)(14.92,6)(14.85,5.8)
}
% Mittelfinger
\pscustom[fillstyle=solid,fillcolor=Haut,linecolor=black!50,linewidth=0.9pt,opacity=1]{%
%
\psbezier(14.4,9.75)(15,9.5)(15.4,9)(15.4,8.2)
\psbezier(15.4,7.95)(15.4,7.7)(14.7,7.02)
\psbezier(14.1,6.5)(12.8,5.95)(12.4,5.95)
\psbezier(12.2,5.95)(11.9,6.02)(10.7,6.02)
\psbezier(10.5,6.02)(10.4,6.03)(10.2,6.02)
\psbezier(9.74,6.01)(9.57,6.37)(9.57,6.7)
\psbezier(9.57,7)(9.75,7.46)(10.3,7.7)
\closepath
}
% Fingernagel Mittelfinger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(11.42,6.5)(11.42,6.02)(11,6.06)(10.7,6.05)
\psbezier(10.2,6.07)(9.95,6.2)(9.95,6.5)
\psbezier(9.95,6.8)(10.15,7.22)(10.45,7.22)
\psbezier(10.5,7.22)(10.85,7.15)(10.98,7.13)
\psbezier(11.02,7.12)(11.15,7.09)(11.25,7.0)
\psbezier(11.3,6.96)(11.42,6.8)(11.42,6.5)
\closepath
}
% Linien im Mittelfinger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(12.6,7.2)(12.9,6.92)(12.85,6.6)(12.8,6.25)
\psbezier(12.9,7.2)(13.1,6.92)(13.15,6.7)(13.1,6.35)
\psbezier(14.6,9.2)(15,8.9)(15.05,8.6)(15.1,8.3)
%\psbezier(11.42,6.5)(11.42,6.02)(11,6.1)(10.7,6.05)
}
% Zeigefinger
\pscustom[fillstyle=solid,fillcolor=Haut,linestyle=none,opacity=1]{%
%
\psbezier(13.2,11.57)(14.16,11.25)(14.5,10.6)(14.4,9.75)
\psbezier(13.6,9.4)(13.5,8.95)(13,8.6)
\psbezier(12.4,8.1)(11.5,7.73)(10.8,7.73)
\psbezier(10.65,7.73)(10.4,7.7)(10.16,7.64)
\psbezier(9.7,8)(9.78,8.25)(9.78,8.35)
\psbezier(9.78,8.6)(9.9,9)(10.3,9.35)
\psbezier(11.2,10)(11.45,10.0)(11.7,10.4)
\psbezier(12.1,11)(12.6,11.48)(12.9,11.51)
\closepath
}
% Randlinie Zeigefinger
{\psset{linewidth=0.9pt,linecolor=black!50}
\psbezier(13.2,11.57)(14.16,11.25)(14.5,10.6)(14.4,9.75)
\psbezier(14.4,9.75)(13.6,9.4)(13.5,8.95)(13,8.6)
\psbezier(13,8.6)(12.4,8.1)(11.5,7.73)(10.8,7.73)
\psbezier(10.8,7.73)(10.65,7.73)(10.4,7.7)(10.16,7.64)
\psbezier(10.16,7.64)(9.7,8)(9.78,8.25)(9.78,8.35)
\psbezier(9.78,8.35)(9.78,8.6)(9.9,9)(10.3,9.35)
\psbezier(10.3,9.35)(11.2,10)(11.45,10.0)(11.7,10.4)
\psbezier(11.7,10.4)(12.1,11)(12.6,11.48)(12.9,11.51)
}
% Fingernagel Zeigefinger
\pscustom[fillstyle=solid,fillcolor=red!10,linewidth=0.8pt,linecolor=black!50,opacity=1]{%
%
\psbezier(11.7,8.45)(11.7,7.85)(10.9,7.73)(10.8,7.73)
\psbezier(10.7,7.73)(10.6,7.72)(10.48,7.7)
\psbezier(10.33,7.97)(10.36,8.1)(10.35,8.2)
\psbezier(10.36,8.77)(10.96,8.86)(11.1,8.86)
\psbezier(11.4,8.86)(11.7,8.7)(11.7,8.45)
\closepath
}
% Linien im Zeigefinger
{\psset{linewidth=0.8pt,linecolor=black!40}
\psbezier(12.2,9.6)(12.48,9.4)(12.5,9.2)(12.6,8.8)
\psbezier(12.5,9.7)(12.65,9.55)(12.7,9.4)(12.8,9.1)
\psbezier(13.6,10.8)(13.9,10.6)(14.02,10.4)(14.04,10)
}
}
\begin{document}
Avec la main gauche, le pouce indique le sens des électrons, qui est, évidemment, en sens inverse du sens conventionnel du courant.
\begin{center}
\begin{pspicture}[showgrid=false,shift=0](0,-3)(15.5,19)
\LinkeFaust{D} %
\end{pspicture}
\end{center}
\newpage
Avec la main droite, le pouce indique le sens conventionnel du courant.
\begin{center}
\begin{pspicture}[showgrid=false,shift=0](0,-3)(-15.5,20)
\psscalebox{-1 1}{\LinkeFaust{G}}
\end{pspicture}
\end{center}
\end{document} ->
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