doc/par-solidescreux.tex

   1 \section {\' Evider un solide}
   2
   3 Certains des solides prédéfinis ont un solide  ``{\sl creux}'' qui lui
   4 est naturellement associé (le cône, le tronc de cône, le cylindre,
   5 le prisme et la calotte sphérique). Pour ceux là, une option
   6 \Cadre{[hollow=$boolean$]} est prévue. Positionné à
   7 \textsl{false}, on a le solide habituel; positionné à \textsl{true} on
   8 a la version creuse.
   9 \newpage
  10 \subsubsection {Exemple 1 : cylindre et cylindre creux}
  11 \begin{multicols}{2}
  12 \psset{unit=0.5}
  13 \psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50}
  14 \setlength{\columnseprule}{1pt}
  15 \centerline{
  16 \begin{pspicture}(-2,-3)(6,6)
  17 \psframe(-2,-3)(6,6)
  18 \psSolid[object=cylindre,h=6,r=2,
  19    fillcolor=yellow,incolor=red,
  20    hollow,
  21       ](0,4,0)
  22 \end{pspicture}}
  23 \columnbreak
  24 \begin{gbar}
  25 \begin{verbatim}
  26    \psSolid[object=cylindre,
  27       h=6,r=2,
  28       fillcolor=yellow,
  29       incolor=red,
  30       hollow,
  31       ](0,4,0)
  32 \end{verbatim}
  33 \end{gbar}
  34 \end{multicols}
  35 \begin{multicols}{2}
  36 \psset{unit=0.5}
  37 \psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50}
  38 \setlength{\columnseprule}{1pt}
  39 \centerline{
  40 \begin{pspicture}(-2,-3)(6,6)
  41 \psframe(-2,-3)(6,6)
  42 \psSolid[object=cylindre,h=6,r=2,
  43    fillcolor=yellow,
  44       ](0,4,0)
  45 \end{pspicture}}
  46 \begin{gbar}
  47 \begin{verbatim}
  48    \psSolid[object=cylindre,
  49       h=6,r=2,
  50       fillcolor=yellow,
  51       ](0,4,0)
  52 \end{verbatim}
  53 \end{gbar}
  54 \end{multicols}
  55
  56 \subsubsection {Exemple 2 : prisme et prisme creux}
  57
  58 \begin{minipage}{6cm}
  59 \psset{unit=0.5}
  60 \psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50}
  61 \begin{pspicture}(-8,-4)(4,8)
  62 \psframe(-9,-3.5)(8,6)
  63 \defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{}
  64 \defFunction{G}(t){t cos}{t sin}{}
  65 \psSolid[object=grille,base=-6 6 -4 4,action=draw]%
  66 \psSolid[object=prisme,h=8,fillcolor=yellow,RotX=90,%decal=0,
  67       resolution=19,
  68       base=0 180 {F} CourbeR2+
  69            180 0 {G} CourbeR2+
  70       ](0,4,0)
  71 \axesIIID(3,4,3)(8,6,7)
  72 \end{pspicture}
  73 \end{minipage}
  74 \hfill
  75 \begin{minipage}{8cm}
  76 \small
  77 \begin{verbatim}
  78 \defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{}
  79 \defFunction{G}(t){t cos}{t sin}{}
  80 \psSolid[
  81    object=grille,base=-6 6 -4 4,action=draw]%
  82 \psSolid[
  83    object=prisme,h=8,fillcolor=yellow,RotX=90,
  84    resolution=19,
  85    base=0 180 {F} CourbeR2+
  86         180 0 {G} CourbeR2+
  87    ](0,4,0)
  88 \axesIIID(3,4,3)(8,6,7)
  89 \end{verbatim}
  90 \end{minipage}
  91
  92 \begin{minipage}{6cm}
  93 \psset{unit=0.5}
  94 \psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50}
  95 \begin{pspicture}(-8,-4)(3,8)
  96 \psframe(-9,-3.5)(8,6)
  97 \defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{}
  98 \defFunction{G}(t){t cos}{t sin}{}
  99 \psSolid[object=grille,base=-6 6 -4 4,action=draw]%
 100 \psSolid[object=prisme,h=8,fillcolor=yellow,RotX=90,
 101       hollow,ngrid=4,incolor=red,
 102       resolution=19,
 103       base=0 180 {F} CourbeR2+
 104            180 0 {G} CourbeR2+
 105       ](0,4,0)
 106 \axesIIID(3,4,3)(8,6,7)
 107 \end{pspicture}
 108 \end{minipage}
 109 \hfill
 110 \begin{minipage}{8cm}
 111 \small
 112 \begin{verbatim}
 113 \defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{}
 114 \defFunction{G}(t){t cos}{t sin}{}
 115 \psSolid[
 116    object=grille,base=-6 6 -4 4,action=draw]%
 117 \psSolid[
 118    object=prisme,h=8,fillcolor=yellow,RotX=90,
 119    hollow,ngrid=4,incolor=red,
 120    resolution=19,
 121    base=0 180 {F} CourbeR2+
 122         180 0 {G} CourbeR2+
 123    ](0,4,0)
 124 \axesIIID(3,4,3)(8,6,7)
 125 \end{verbatim}
 126 \end{minipage}
 127
 128 \subsubsection {Exemple 3 : calotte sphérique et calotte sphérique creuse}
 129
 130 \begin{multicols}{2}
 131 \psset{unit=0.5}
 132 \psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz,Decran=50}
 133 \setlength{\columnseprule}{1pt}
 134 \centerline{
 135 \begin{pspicture}(-5,-5)(5,5)
 136 \psframe(-5,-5)(5,5)
 137 \psset{unit=0.92}
 138 \psSolid[object=calottesphere,r=3,ngrid=16 18,
 139    fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30,hollow,RotY=-80]%
 140 \axesIIID(0,3,3)(6,5,4)
 141 \end{pspicture}}
 142 \begin{verbatim}
 143 \psSolid[object=calottesphere,r=3,
 144          ngrid=16 18,
 145          fillcolor=cyan!50,incolor=yellow,
 146          theta=45,phi=-30,hollow,RotY=-60]%
 147 \end{verbatim}
 148 \columnbreak
 149 \centerline{
 150 \begin{pspicture}(-5,-3)(5,7)
 151 \psframe(-5,-3)(5,7)
 152 \psSolid[object=grille,base=-5 5 -5 5,action=draw]%
 153 \psSolid[object=calottesphere,r=3,ngrid=16 18,
 154    fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30](0,0,1.5)%
 155 \axesIIID(3,3,3.6)(6,6,5)
 156 \end{pspicture}}
 157 \begin{verbatim}
 158 \psSolid[object=calottesphere,r=3,
 159          ngrid=16 18,fillcolor=cyan!50,
 160          incolor=yellow,theta=45,phi=-30]
 161          (0,0,1.5)
 162 \end{verbatim}
 163 \end{multicols}