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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex new file mode 100644 index 00000000000..401a378c005 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex @@ -0,0 +1,212 @@ +\section {Solide ruban} + +Le ruban est un paravent posé sur le sol horizontal. La base du paravent +est définie sur le plan $Oxy$ par les coordonnées des sommets placés dans +le sens trigonométrique par le paramètre \texttt{base} : +\begin{verbatim} +\psSolid[object=ruban,h=3,base=x1 y1 x2 y2 x3 y3 ...xn yn,ngrid=n](0,0,0)% +\end{verbatim} + +\subsection{Un simple paravent} +\begin{minipage}{0.6\linewidth} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50,unit=0.75} +\begin{pspicture}(-5.5,-4.5)(7,5) +\psframe(-5.5,-4.5)(7,5) +\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=3,fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3 + ](0,0,0) +\axesIIID(0,2,0)(6,6,4.5) +\end{pspicture} +\end{minipage} +% +\begin{minipage}{0.49\linewidth} +\begin{verbatim} +\begin{pspicture}(-5,-4)(6,7) +\psframe(-5,-4)(6,7) +\psSolid[ + object=grille,base=-4 6 -4 4, + action=draw](0,0,0) +\psSolid[ + object=ruban,h=3, + fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3 + ](0,0,0) +\axesIIID(0,2,0)(6,6,6) +\end{pspicture} +\end{verbatim} +\end{minipage} + + +\subsection{Un paravent sinusoïdal} + +\begin{center} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=50} +\begin{pspicture}(-10,-6)(12,8) +\psframe(-10,-6)(12,7) +\defFunction{F}(t){2 t 4 mul cos mul}{t 20 div}{} +\psSolid[object=grille,base=-6 6 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=2,fillcolor=red!50, + resolution=72, + base=-200 200 {F} CourbeR2+, %% -200 5 200 {/Angle ED 2 Angle 4 mul cos mul Angle 20 div } for, + ngrid=4](0,0,0) +\axesIIID(5,10,0)(7,11,6) +\end{pspicture} +\end{center} + +\begin{verbatim} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=50} +\begin{pspicture}(-10,-5)(12,7) +\psframe(-10,-5)(12,7) +\defFunction{F}(t){2 t 4 mul cos mul}{t 20 div}{} +\psSolid[object=grille,base=-6 6 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=2,fillcolor=red!50, + resolution=72, + base=-200 200 {F} CourbeR2+, + ngrid=4](0,0,0) +\axesIIID(5,10,0)(7,11,6) +\end{pspicture} +\end{verbatim} + + + +\subsection{Une surface ondulée} + +C'est le même objet que précédemment en lui faisant subir une rotation de +$90^{\mathrm{o}}$ autour de $Oy$. +\begin{center} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-14,-7)(8,5) +\psframe(-14,-7)(8,5) +\defFunction{F}(t){t 4 mul cos}{t 20 div}{} +\psSolid[object=grille,base=0 16 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=16,fillcolor=red!50,RotY=90,incolor=green!20, + resolution=72, + base=-200 200 {F} CourbeR2+, + ngrid=16](0,0,1) +\axesIIID(16,10,0)(20,12,6) +\end{pspicture} +\end{center} +\begin{verbatim} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-14,-7)(8,7) +\defFunction{F}(t){t 4 mul cos}{t 20 div}{} +\psSolid[object=grille,base=0 16 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=16,fillcolor=red!50,RotY=90,incolor=green!20, + resolution=72, + base=-200 200 {F} CourbeR2+, + ngrid=16](0,0,1) +\psframe(-14,-7)(8,7) +\axesIIID(16,10,0)(20,12,6) +\end{pspicture} +\end{verbatim} +On peut ensuite l'imaginer comme toit en tôle ondulée d'un abri quelconque. + + +\subsection{Un paravent étoilé : version 1} +Le contour du paravent est défini dans une boucle : +\begin{verbatim} + base=0 72 360 {/Angle ED 5 Angle cos mul 5 Angle sin mul + 3 Angle 36 add cos mul 3 Angle 36 add sin mul} for +\end{verbatim} +la surface bleutée du fond est définie à l'aide d'un polygone dont les +sommets sont calculés par la commande \\\verb+\psPoint(x,y,z){P}+ +\begin{verbatim} +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50](P0)(p0)(P1)(p1)(P2)(p2) + (P3)(p3)(P4)(p4)(P5)(p5) +\end{verbatim} +\begin{center} +\psset{unit=0.55} +\psset{lightsrc=10 0 10,viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-5)(9,7) +\psframe(-9,-5)(9,7) +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50](P0)(p0)(P1)(p1)(P2)(p2)(P3)(p3)(P4)(p4)(P5)(p5) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + num=0 1 2 3, + show=0 1 2 3, + ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{center} +\begin{verbatim} +\begin{pspicture}(-9,-5)(9,7) +\psframe(-9,-5)(9,7) +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50] + (P0)(p0)(P1)(p1)(P2)(p2)(P3)(p3)(P4)(p4)(P5)(p5) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + num=0 1 2 3, show=0 1 2 3, ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{verbatim} + + +\subsection{Un paravent étoilé : version 2} + +Le fond du récipient est défini par l'objet \texttt{face} avec l'option +\texttt{biface}~: +\begin{center} +\psset{unit=0.55} +\psset{lightsrc=10 0 10,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-4)(9,7) +\psframe(-9,-4)(9,7) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=face,fillcolor=blue!50, + biface, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ](0,0,0) +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{center} +\begin{verbatim} +\psset{lightsrc=10 0 10,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-4)(9,7) +\psframe(-9,-4)(9,7) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=face,fillcolor=blue!50, + biface, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ](0,0,0) +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{verbatim} + |