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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnersolide.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnersolide.tex new file mode 100644 index 00000000000..9e8505f9093 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnersolide.tex @@ -0,0 +1,154 @@ +\newpage +\section {Positionner un solide} +\subsection{Translation} +La commande suivante +\verb+\psSolid[object=cube,+\textsl{options}\verb+](x,y,z)+ déplace le +centre du cube au point de coordonnées $\mathtt{(x,y,z)}$. + +L'exemple suivant va recopier le cube d'arête 1 \begin{pspicture}(-0.5,-0.5)(.5,.5) +\psset{Decran=40,viewpoint=50 35 35,a=1,lightsrc=50 30 20} +\psset{fillcolor=yellow,mode=3, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (GreenYellow) + 7 (Cerulean) + 8 (CarnationPink)} +\psSolid[object=cube](0.5,0.5,0.5)% c1 +\end{pspicture} + aux points de coordonnées $\mathtt{(0.5,0.5,0.5)}$, $\mathtt{(4.5,0.5,0.5)}$ etc. afin que ces copies occupent les coins d'un cube d'arête 5. +\begin{center} +\begin{pspicture}(-4,-5)(5,5) +\psframe(-4,-5)(5,5) +%\psset{SphericalCoor,Decran=3,viewpoint=10 35 35,a=1,lightsrc=50 20 10} +\psset{Decran=40,viewpoint=50 35 35,a=1,lightsrc=50 30 20, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (GreenYellow) + 7 (Cerulean) + 8 (CarnationPink)} +\psSolid[object=grille,base=0 6 0 6,fillcolor=blue!50]%% +\psSolid[object=grille,base=0 6 0 6,RotY=90,fillcolor=blue!40](0,0,6)% +\psSolid[object=grille,base=0 6 0 6,RotX=-90,fillcolor=blue!30](0,0,6)% +\psPoint(1,0.5,0.5){c11} +\psPoint(0.5,0.5,1){c12} +\psPoint(0.5,1,0.5){c13} +\psPoint(4.5,4.5,1){c21} +\psPoint(4,4.5,0.5){c22} +\psPoint(4.5,4,0.5){c23} +\psPoint(4,0.5,0.5){c41} +\psPoint(4.5,0.5,1){c42} +\psPoint(4.5,1,0.5){c43} +\psPoint(0.5,4,0.5){c51} +\psPoint(0.5,4.5,1){c52} +\psPoint(1,4.5,0.5){c53} +\psPoint(0.5,0.5,4){c61} +\psPoint(0.5,1,4.5){c62} +\psPoint(1,0.5,4.5){c63} +\psPoint(4,0.5,4.5){c71} +\psPoint(4.5,1,4.5){c72} +\psPoint(4.5,0.5,4){c73} +\axesIIID(1,1,1)(6,6,6) +{\psset{fillcolor=yellow,mode=3} +\psSolid[object=cube](0.5,0.5,0.5)% c1 +\psline[linestyle=dashed,linecolor=red](c11)(c41) +\psline[linestyle=dashed,linecolor=red](c12)(c61) +\psline[linestyle=dashed,linecolor=red](c13)(c51) +\psSolid[object=cube](4.5,0.5,0.5) +\psSolid[object=cube](0.5,4.5,0.5) +\psSolid[object=cube](0.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,4.5) +\psSolid[object=cube](4.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,0.5) +\psSolid[object=cube](0.5,4.5,4.5)} +\psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=gray!50](0,0,5)% +\psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=gray!50,RotY=90](5,0,5)% +\psSolid[object=grille,base=0 5 0 5,action=draw,RotX=-90,linecolor=gray!50](0,5,5)% +\end{pspicture} +\end{center} +\begin{verbatim} +\psset{fillcolor=yellow,mode=3} +\psSolid[object=cube](0.5,0.5,0.5) +\psSolid[object=cube](4.5,0.5,0.5) +\psSolid[object=cube](0.5,4.5,0.5) +\psSolid[object=cube](0.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,4.5) +\psSolid[object=cube](4.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,0.5) +\psSolid[object=cube](0.5,4.5,4.5) +\end{verbatim} +\subsection{Rotation} +La rotation s'effectue dans l'ordre autour des axes $Ox$, $Oy$ et $Oz$. Prenons l'exemple d'un parallélépipède rectangle, +\begin{pspicture}(-1,-0.2)(1,.5) +\psset{Decran=40,viewpoint=50 35 35,a=2,b=3,c=1,lightsrc=50 30 30} +\psset{fillcolor=yellow,unit=0.5, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (Bittersweet)} +\psSolid[object=parallelepiped](0.5,0.5,0.5)% +\end{pspicture} +que l'on va faire tourner +successivement autour des axes $Ox$, $Oy$ et $Oz$. + +\begin{multicols}{4} +\psset{Decran=40,viewpoint=50 35 35,a=2,b=3,c=1} +\psset{unit=0.5, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (Bittersweet), + object=parallelepiped} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid%% +\axesIIID(1,1.5,1)(3,3,2) +\end{pspicture}} +\columnbreak +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid[RotZ=60]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotZ=60]}} + +\columnbreak +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5)) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid[RotX=30]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotX=30]}} + +\columnbreak +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid[RotY=45]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotY=-45]}} +\end{multicols} |