doc-en/.svn/text-base/par-definitionmaillage-en.tex.svn-base

   1 \section{Definition of grating}
   2
   3 The user can specify the \Index{grating} of the solid with the option
   4 \Lkeyword{ngrid} within the command \Lcs{psSolid}.
   5
   6 For the objects
   7 \Lkeyval{cube},
   8 \Lkeyval{prisme},
   9 \Lkeyval{prismecreux},
  10 the syntax is \Lkeyword{ngrid}=$n_1$ where $n_1$ represents the number of vertical \Index{gridlines}.
  11
  12 For the objects
  13 \Lkeyval{cylindre},
  14 \Lkeyval{cylindrecreux},
  15 \Lkeyval{cone},
  16 \Lkeyval{conecreux},
  17 \Lkeyval{tronccone},
  18 \Lkeyval{troncconecreux},
  19 %%\verb+tore+,
  20 the syntax is \texttt{\Lkeyword{ngrid}=$n_1$~$n_2$} where $n_1$ is an integer greater or equal
  21 to  1 ($2$ for \Lkeyval{tore}) representing the number of the vertical gridlines, and $n_2$ is an integer
  22 representing the number of divisions on the circle.
  23
  24 For the object
  25 \Lkeyval{sphere},
  26 the syntax is \texttt{\Lkeyword{ngrid}=$n_1$~$n_2$} where $n_1$ is an integer, representing the number of divisions on the vertical axis, and
  27 $n_2$ is an integer representing the number of divisions on the circle
  28 horizontally.
  29
  30 For the object
  31 \Lkeyval{tore},
  32 the syntax is \texttt{\Lkeyword{ngrid}=$n_1$~$n_2$} where $n_1$ and $n_2$
  33 are integers.
  34
  35 Here are some examples:
  36
  37 \subsection{The cube}
  38
  39 \begin{center}
  40 \psset{unit=0.4}
  41 \begin{pspicture}(-7,-7)(7,7)
  42 %\psframe(-7,-7)(7,7)
  43 \psset[pst-solides3d]{viewpoint=50 40 20,Decran=50,lightsrc=10 10 10}
  44 \psSolid[a=8,object=cube,ngrid=4,fillcolor=yellow]%
  45 %\psSolid[a=8,object=cube,linewidth=2pt,action=draw]%
  46 \psPoint(0,0,0){O}
  47 %\uput[r](O){$O$}
  48 \psPoint(0,0,4){Ak}
  49 \psPoint(0,0,8){Az}
  50 \uput[u](Az){$z$}
  51 \psPoint(4,0,0){Ai}
  52 \psPoint(8,0,0){Ax}
  53 \uput[u](Ax){$x$}
  54 \psPoint(0,4,0){Aj}
  55 \psPoint(0,8,0){Ay}
  56 \uput[dr](Ay){$y$}
  57 \psPoint(4,-4,0){A1}
  58 \psPoint(4,4,0){A2}
  59 \psPoint(-4,4,0){A3}
  60 \psPoint(-4,-4,0){A4}
  61 \uput[dr](Ay){$y$}
  62 %\psline[linestyle=dashed](O)(Ai)
  63 %\psline[linestyle=dashed](O)(Aj)
  64 %\psline[linestyle=dashed](O)(Ak)
  65 \psline[linecolor=green,arrowsize=2mm,arrowinset=0.2]{->}(Aj)(Ay)
  66 \psline[linecolor=blue,arrowsize=2mm,arrowinset=0.2]{->}(Ai)(Ax)
  67 \psline[linecolor=red,arrowsize=2mm,arrowinset=0.2]{->}(Ak)(Az)
  68 \psdot[linecolor=green](Aj)
  69 \psdot[linecolor=blue](Ai)
  70 \psdot[linecolor=red](Ak)
  71 \end{pspicture}
  72 \hfill
  73 \begin{pspicture}(-7,-7)(7,7)
  74 %\psframe(-7,-7)(7,7)
  75 \psset[pst-solides3d]{viewpoint=50 45 10 rtp2xyz,Decran=40,lightsrc=30 45 0}
  76 \psSolid[a=8,object=cube,ngrid=3,fcol=\colorfaces,RotY=45,RotX=30,RotZ=20]%
  77 \end{pspicture}
  78 \end{center}
  79
  80
  81 For the first example, the grid is fixed to $4\times4$
  82 facettes/faces and the command is the following:
  83 \begin{verbatim}
  84 \psSolid[a=8,object=cube,ngrid=4,fillcolor=yellow]%
  85 \end{verbatim}
  86 In the second example, the face grid is set to $3\times3$
  87 and the colours of the faces are different.
  88 We use the package
  89 \texttt{arrayjob} to easily save the colours:
  90 \begin{verbatim}
  91 \newarray\colors
  92 \readarray{colors}{%
  93     Apricot&Aquamarine%
  94     etc.}
  95 \end{verbatim}
  96 The list of the colours is given by the command:
  97 \begin{verbatim}
  98 \edef\colorfaces{}%
  99 \multido{\i=0+1}{67}{%
 100     \checkcolors(\i)
 101     \xdef\colorfaces{%
 102     \colorfaces\i\space(\cachedata)\space}
 103      }
 104 \end{verbatim}
 105 One sets up:~\Lkeyword{fcol}\verb+=\colorfaces+.
 106 The gridded cube now is called with:
 107 \begin{verbatim}
 108 \psSolid[a=8,object=cube,ngrid=3,%
 109         fcol=\colorfaces,
 110         RotY=45,RotX=30,RotZ=20]%
 111 \end{verbatim}
 112 The option \Lkeyword{grid} suppresses the drawing of the gridlines.
 113
 114
 115 \subsection{Sphere}
 116
 117 \begin{LTXexample}[width=6cm]
 118 \begin{pspicture}(-3,-3)(3,3)
 119 \psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint}
 120 \psset{color1=cyan,color2=red}
 121 \psSolid[
 122    fcol=251 (OliveGreen) 232 (color1) 214 (color2),
 123    object=sphere,
 124    ngrid=16 18,
 125    RotX=180,RotZ=30]%
 126 \end{pspicture}
 127 \end{LTXexample}
 128
 129 \begin{LTXexample}[width=6cm]
 130 \begin{pspicture}(-3,-3)(3,3)
 131 \psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint}
 132 \psset{color1=cyan,color2=red}
 133 \psSolid[
 134    action=draw*,
 135    fcol=0 (OliveGreen) 2 (color1) 3 (color2),
 136    object=sphere,
 137    ngrid=4 4,
 138    RotX=180,RotZ=30]%
 139 \end{pspicture}
 140 \end{LTXexample}
 141
 142 \subsection{Cylinders}
 143
 144 \begin{LTXexample}[width=6cm]
 145
 146 \begin{pspicture}(-3,-4)(3,4)
 147 \psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint}
 148 \psset{color1=cyan,color2=red}
 149 \psSolid[
 150    fcol=0 (OliveGreen) 2 (color1) 3 (color2),
 151    h=5,r=2,
 152    object=cylindrecreux,
 153    ngrid=4 30,
 154    RotZ=30
 155 ](0,0,-2.5)
 156 \end{pspicture}
 157 \end{LTXexample}
 158 %
 159 \begin{LTXexample}[width=7cm]
 160 \begin{pspicture}(-3,-4)(4,4)
 161 \psset{viewpoint=50 50 20 rtp2xyz,Decran=50,lightsrc=viewpoint}
 162 \psset{color1=cyan,color2=red}
 163 \psSolid[
 164    action=draw*,
 165    fcol=0 (OliveGreen) 2 (color1) 3 (color2),
 166    h=5,r=2,
 167    object=cylindre,
 168    ngrid=2 12,
 169    RotY=-20
 170 ](0,0,-2.5)
 171 \end{pspicture}
 172 \end{LTXexample}
 173
 174
 175
 176 \subsection{Torus}
 177
 178 \begin{LTXexample}[width=6cm]
 179 \begin{pspicture}(-3,-2)(3,2)
 180 \psset{viewpoint=50 50 30 rtp2xyz,Decran=25,lightsrc=viewpoint}
 181 \psSolid[r1=2.5,r0=1.5,
 182     object=tore,
 183     ngrid=4 36,
 184     fillcolor=green!30,
 185     action=draw**]%
 186 \axesIIID(4,4,0)(5,5,4)
 187 \end{pspicture}
 188 \end{LTXexample}
 189
 190 \begin{LTXexample}[width=6cm]
 191 \begin{pspicture}(-3,-2)(3,2)
 192 \psset{viewpoint=50 50 30 rtp2xyz,Decran=25,lightsrc=viewpoint}
 193 \psSolid[r1=3.5,r0=1,
 194     object=tore,
 195     ngrid=9 18,
 196     fillcolor=magenta!30,
 197     action=draw**]%
 198 \axesIIID(4.5,4.5,0)(5,5,4)
 199 \end{pspicture}
 200 \end{LTXexample}
 201
 202 \endinput