doc-en/par-positionnersolide-en.tex

   1 \section{Positioning a solid}
   2
   3 \subsection{\Index{Translation}}
   4
   5 The following command~
   6 \texttt{\Lcs{psSolid}[object=cube,+\textit{options}](x,y,z)} shifts the
   7 centre of the cube to the point with the coordinates $\mathtt{(x,y,z)}$.
   8
   9 The next example will copy the cube with edge length of 1
  10 \begin{pspicture}(-0.5,-0.5)(.5,.5)
  11 \psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=1,lightsrc=50 30 20}
  12 \psset{fillcolor=yellow,mode=3}
  13 \psSolid[object=cube](0.5,0.5,0.5)% c1
  14 \end{pspicture}
  15 to the points with the coordinates $\mathtt{(0.5,0.5,0.5)}$,
  16  $\mathtt{(4.5,0.5,0.5)}$ etc. so that the copied cubes setup the vertices
  17  of a new cube with the edge length 5.
  18 \begin{center}
  19 \begin{pspicture}(-4,-5)(5,5)
  20 \psframe(-4,-5)(5,5)
  21 %\psset{SphericalCoor,Decran=3,viewpoint=10 35 35,a=1,lightsrc=50 20 10}
  22 \psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=1,lightsrc=50 30 20}
  23 \psSolid[object=grille,base=0 6 0 6,fillcolor=gray!40]%%
  24 \psSolid[object=grille,base=0 6 0 6,RotY=90,fillcolor=gray!30](0,0,6)%
  25 \psSolid[object=grille,base=0 6 0 6,RotX=-90,fillcolor=gray!20](0,0,6)%
  26 \psPoint(1,0.5,0.5){c11}
  27 \psPoint(0.5,0.5,1){c12}
  28 \psPoint(0.5,1,0.5){c13}
  29 \psPoint(4.5,4.5,1){c21}
  30 \psPoint(4,4.5,0.5){c22}
  31 \psPoint(4.5,4,0.5){c23}
  32 \psPoint(4,0.5,0.5){c41}
  33 \psPoint(4.5,0.5,1){c42}
  34 \psPoint(4.5,1,0.5){c43}
  35 \psPoint(0.5,4,0.5){c51}
  36 \psPoint(0.5,4.5,1){c52}
  37 \psPoint(1,4.5,0.5){c53}
  38 \psPoint(0.5,0.5,4){c61}
  39 \psPoint(0.5,1,4.5){c62}
  40 \psPoint(1,0.5,4.5){c63}
  41 \psPoint(4,0.5,4.5){c71}
  42 \psPoint(4.5,1,4.5){c72}
  43 \psPoint(4.5,0.5,4){c73}
  44 \axesIIID(1,1,1)(6,6,6)
  45 {\psset{fillcolor=yellow,mode=3}
  46 \psSolid[object=cube](0.5,0.5,0.5)% c1
  47 \psline[linestyle=dashed,linecolor=red,linewidth=1.5pt](c11)(c41)
  48 \psline[linestyle=dashed,linecolor=red,linewidth=1.5pt](c12)(c61)
  49 \psline[linestyle=dashed,linecolor=red,linewidth=1.5pt](c13)(c51)
  50 \psSolid[object=cube](4.5,0.5,0.5)
  51 \psSolid[object=cube](0.5,4.5,0.5)
  52 \psSolid[object=cube](0.5,0.5,4.5)
  53 \psSolid[object=cube](4.5,4.5,4.5)
  54 \psSolid[object=cube](4.5,0.5,4.5)
  55 \psSolid[object=cube](4.5,4.5,0.5)
  56 \psSolid[object=cube](0.5,4.5,4.5)}
  57 \psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=blue!70,linewidth=1.2pt](0,0,5)%
  58 \psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=blue!70,RotY=90,linewidth=1.2pt](5,0,5)%
  59 \psSolid[object=grille,base=0 5 0 5,action=draw,RotX=-90,linecolor=blue!70,linewidth=1.2pt](0,5,5)%
  60 \end{pspicture}
  61 \end{center}
  62 \begin{verbatim}
  63 \psset{fillcolor=yellow,mode=3}
  64 \psSolid[object=cube](0.5,0.5,0.5)
  65 \psSolid[object=cube](4.5,0.5,0.5)
  66 \psSolid[object=cube](0.5,4.5,0.5)
  67 \psSolid[object=cube](0.5,0.5,4.5)
  68 \psSolid[object=cube](4.5,4.5,4.5)
  69 \psSolid[object=cube](4.5,0.5,4.5)
  70 \psSolid[object=cube](4.5,4.5,0.5)
  71 \psSolid[object=cube](0.5,4.5,4.5)
  72 \end{verbatim}
  73
  74
  75 \subsection{Rotation}
  76
  77 The \Index{rotation} is effected around the three axes $Ox$, $Oy$ and $Oz$. Let's take a cuboid as an example,
  78 \begin{pspicture}(-1,-0.2)(1,.5)
  79 \psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=2,b=3,c=1,lightsrc=50 30 30}
  80 \psset{fillcolor=yellow,unit=0.5,
  81   fcol= 0 (Apricot)
  82         1 (Lavender)
  83         2 (SkyBlue)
  84         3 (LimeGreen)
  85         4 (OliveGreen)
  86         5 (Yellow)
  87         6 (Bittersweet)}
  88 \psSolid[object=parallelepiped](0.5,0.5,0.5)%
  89 \end{pspicture}
  90 which will be rotated seperately around the axes $Ox$, $Oy$ and $Oz$.
  91
  92 \begin{multicols}{4}
  93 \psset{Decran=40,viewpoint=50 35 35 rtp2xyz,a=2,b=3,c=1}
  94 \psset{unit=0.5,
  95   fcol= 0 (Apricot)
  96         1 (Lavender)
  97         2 (SkyBlue)
  98         3 (LimeGreen)
  99         4 (OliveGreen)
 100         5 (Yellow)
 101         6 (Bittersweet),
 102   object=parallelepiped}
 103 \setlength{\columnseprule}{1pt}
 104 \centerline{
 105 \begin{pspicture}(-2.75,-2.5)(2.95,2.5)
 106 \psframe(-2.75,-2.5)(2.95,2.5)
 107 \psSolid%%
 108 \axesIIID(1,1.5,1)(3,3,2)
 109 \end{pspicture}}
 110 \columnbreak
 111 \centerline{
 112 \begin{pspicture}(-2.75,-2.5)(2.95,2.5)
 113 \psframe(-2.75,-2.5)(2.95,2.5)
 114 \psSolid[RotZ=60]%%
 115 \psSolid[action=draw,linewidth=0.5\pslinewidth]%%
 116 \axesIIID(1,1.5,1)(2,3,2)
 117 \end{pspicture}}
 118
 119 \centerline{\texttt{[RotZ=60]}}
 120
 121 \columnbreak
 122 \centerline{%
 123 \begin{pspicture}(-2.75,-2.5)(2.95,2.5))
 124 \psframe(-2.75,-2.5)(2.95,2.5)
 125 \psSolid[RotX=30]%%
 126 \psSolid[action=draw,linewidth=0.5\pslinewidth]%%
 127 \axesIIID(1,1.5,1)(2,3,2)
 128 \end{pspicture}}
 129
 130 \centerline{\texttt{[RotX=30]}}
 131
 132 \columnbreak
 133 \centerline{%
 134 \begin{pspicture}(-2.75,-2.5)(2.95,2.5)
 135 \psframe(-2.75,-2.5)(2.95,2.5)
 136 \psSolid[RotY=45]%%
 137 \psSolid[action=draw,linewidth=0.5\pslinewidth]%%
 138 \axesIIID(1,1.5,1)(2,3,2)
 139 \end{pspicture}}
 140
 141 \centerline{\texttt{[RotY=-45]}}
 142 \end{multicols}
 143
 144 \endinput