doc/.svn/text-base/par-solidespredefinis.tex.svn-base

   1 \section[Paramètres]{Les principaux solides prédéfinis et leurs paramètres}
   2
   3 La commande de base est~:~
   4 \Cadre{\textbackslash psSolid[object=\textsl{nom}]$(x, y ,z)$} qui permet
   5 de tracer l'objet désigné par \textsl{nom} au point de coordonnées $(x, y,
   6 z)$.
   7
   8 Les objets disponibles sont~:
   9 {\ttfamily%\flushleft \hyphenchar\font`\-%
  10 cube, cylindre, cylindrecreux, cone, conecreux, tronccone,\\
  11 troncconecreux, sphere, calottesphere, tore, anneau,
  12 tetrahedron, octahedron, dodecahedron,\\
  13 isocahedron, prisme, grille, parallelepiped, face, ruban, surface,
  14 plan, geode,vecteur.}
  15
  16 Le tableau ci-dessous donne un exemple de chacun des solides avec ses
  17 paramètres propres~:
  18
  19 \begin{center}
  20 \psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz}
  21 \begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
  22   \hline
  23 \toptableau
  24 \\\hline
  25  cube& \texttt{[a=4]} arête&
  26  \begin{pspicture}(-2,-2)(2,2)
  27 % \psframe(-2,-2)(2,2)
  28  \psset{Decran=60}
  29  \psSolid[
  30  object=cube,a=2,action=draw*,fillcolor=magenta!20]%
  31  \axesIIID(1,1,1)(1.5,1.5,1.5)
  32  \end{pspicture}
  33  &
  34  \begin{minipage}{5cm}
  35  \begin{verbatim}
  36 \psSolid[
  37    object=cube,
  38    a=2,
  39    action=draw*,
  40    fillcolor=magenta!20]
  41  \end{verbatim}
  42  \end{minipage}
  43 \\\hline
  44  cylindre&
  45     \begin{tabular}{c}
  46      \texttt{[h=6,r=2]}\\
  47      hauteur et rayon\\
  48      le maillage :\\
  49      \texttt{[ngrid=n1 n2]}
  50      \end{tabular}
  51      &
  52  \begin{pspicture}(-2,-2.5)(2,3)
  53 % \psframe(-2,-2)(2,2)
  54  \psset{Decran=30}
  55 \psSolid[object=cylindre,h=5,r=2,fillcolor=white,ngrid=4 32](0,0,-3)
  56  \axesIIID(2,2,2.5)(3,3,3.5)
  57  \end{pspicture}
  58  &
  59  \begin{minipage}{5cm}
  60  \begin{verbatim}
  61 \psSolid[
  62    object=cylindre,
  63   h=5,r=2,
  64   fillcolor=white,
  65   ngrid=4 32](0,0,-3)
  66  \end{verbatim}
  67  \end{minipage}
  68 \\\hline
  69  cylindre creux&
  70     \begin{tabular}{c}
  71      \texttt{[h=6,r=2]}\\
  72      hauteur et rayon\\
  73      le maillage :\\
  74      \texttt{[ngrid=n1 n2]}
  75      \end{tabular}
  76      &
  77  \begin{pspicture}(-2,-2.5)(2,3)
  78 % \psframe(-2,-2)(2,2)
  79  \psset{Decran=30}
  80 \psSolid[object=cylindrecreux,h=5,r=2,fillcolor=white,mode=4,incolor=green!50](0,0,-2.5)
  81  \axesIIID(2,2,2.5)(3,3,4.5)
  82  \end{pspicture}
  83  &
  84  \begin{minipage}{5cm}
  85  \begin{verbatim}
  86 \psSolid[
  87    object=cylindrecreux,
  88    h=5,r=2,
  89    fillcolor=white,
  90    mode=4,
  91    incolor=green!50]
  92    (0,0,-3)
  93  \end{verbatim}
  94  \end{minipage}
  95  \\\hline
  96 \end{tabular}
  97 \end{center}
  98
  99 \begin{center}
 100 \psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
 101 \begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
 102   \hline
 103 \toptableau
 104 \\\hline
 105  cone&
 106      \begin{tabular}{c}
 107      \texttt{[h=6,r=2]}\\
 108      hauteur et rayon\\
 109      le maillage :\\
 110      \texttt{[ngrid=n1 n2]}
 111      \end{tabular}
 112      &
 113  \begin{pspicture}(-2,-1)(2,4)
 114 % \psframe(-2,-2)(2,2)
 115  \psset{Decran=30}
 116  \psSolid[object=cone,h=5,r=2,fillcolor=cyan,mode=4]%
 117  \axesIIID(2,2,5)(2.5,2.5,6)
 118  \end{pspicture}
 119  &
 120  \begin{minipage}{5cm}
 121  \begin{verbatim}
 122  \psSolid[
 123     object=cone,
 124     h=5,r=2,
 125     fillcolor=cyan,
 126     mode=4]%
 127  \end{verbatim}
 128  \end{minipage}
 129 \\\hline
 130  cone creux&
 131      \begin{tabular}{c}
 132      \texttt{[h=6,r=2]}\\
 133      hauteur et rayon\\
 134      le maillage :\\
 135      \texttt{[ngrid=n1 n2]}
 136      \end{tabular}
 137      &
 138  \begin{pspicture}(-2,-1)(2,4)
 139 % \psframe(-2,-2)(2,2)
 140  \psset{Decran=30}
 141  \psSolid[object=conecreux,h=5,r=2,fillcolor=white,mode=4,RotY=-60,incolor=green!50]%
 142  \axesIIID(2,2,5)(2.5,2.5,6)
 143  \end{pspicture}
 144  &
 145  \begin{minipage}{5cm}
 146  \begin{verbatim}
 147  \psSolid[
 148     object=conecreux,
 149     h=5,r=2,
 150     RotY=-60,
 151     fillcolor=white,
 152     incolor=green!50,
 153     mode=4]%
 154  \end{verbatim}
 155  \end{minipage}
 156  \\\hline
 157  tronc de cone&
 158      \begin{tabular}{c}
 159      \texttt{[h=6,r0=4,r1=1.5]}\\
 160      hauteur et rayons\\
 161      le maillage :\\
 162      \texttt{[ngrid=n1 n2]}
 163      \end{tabular}
 164      &
 165  \begin{pspicture}(-2,-1)(2,4)
 166 % \psframe(-2,-2)(2,2)
 167  \psset{Decran=30}
 168  \psSolid[object=tronccone,r0=2,r1=1.5,h=5,fillcolor=cyan,mode=4]%
 169  \axesIIID(2,2,5)(2.5,2.5,6)
 170  \end{pspicture}
 171  &
 172  \begin{minipage}{5cm}
 173  \begin{verbatim}
 174  \psSolid[
 175     object=tronccone,
 176     r0=2,r1=1.5,h=5,
 177     fillcolor=cyan,
 178     mode=4]%
 179  \end{verbatim}
 180  \end{minipage}
 181 \\\hline
 182      \begin{tabular}{c}
 183      tronc de \\
 184      cone creux
 185      \end{tabular}
 186      &
 187      \begin{tabular}{c}
 188      \texttt{[h=6,r0=4,r1=1.5]}\\
 189      hauteur et rayons\\
 190      le maillage :\\
 191      \texttt{[ngrid=n1 n2]}
 192      \end{tabular}
 193      &
 194  \begin{pspicture}(-2,-1)(2,4)
 195 % \psframe(-2,-2)(2,2)
 196  \psset{Decran=30}
 197  \psSolid[object=troncconecreux,r0=2,r1=1,h=5,fillcolor=white,mode=4]%
 198  \axesIIID(2,2,5)(2.5,2.5,6)
 199  \end{pspicture}
 200  &
 201  \begin{minipage}{5cm}
 202  \begin{verbatim}
 203 \psSolid[
 204    object=troncconecreux,
 205    r0=2,r1=1,h=5,
 206    fillcolor=white,
 207    mode=4]%
 208  \end{verbatim}
 209  \end{minipage}
 210 \\\hline
 211 \end{tabular}
 212 \end{center}
 213
 214 %\newpage
 215
 216 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 217 \begin{center}
 218 \psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
 219 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
 220 \begin{tabular}{
 221    >{\bfseries\sffamily\color{blue}} l
 222    >{\centering} m{4cm} m{4cm} m{5cm}}
 223   \hline
 224 \toptableau
 225 \\\hline
 226  sphère &
 227      \begin{tabular}{c}
 228      \texttt{[r=2]} rayon\\
 229      le maillage :\\
 230      \texttt{[ngrid=n1 n2]}
 231     \end{tabular}
 232      &
 233  \begin{pspicture}(-2,-2)(2,3)
 234 % \psframe(-2,-2)(2,2)
 235  \psset{Decran=30}
 236  \psSolid[object=sphere,r=3,fillcolor=red!25,ngrid=18 18,linewidth=0.2\pslinewidth]%
 237  \axesIIID(3,3,3)(4,4,4)
 238  \end{pspicture}
 239  &
 240  \begin{minipage}{5cm}
 241  \begin{verbatim}
 242  \psSolid[
 243     object=sphere,
 244     r=2,fillcolor=red!25,
 245     ngrid=18 18]%
 246  \end{verbatim}
 247  \end{minipage}
 248 \\\hline
 249      \begin{tabular}{c}
 250      calotte \\
 251      sphérique
 252      \end{tabular} &
 253      \begin{tabular}{c}
 254      \texttt{[r=2]} rayon\\
 255      \texttt{[phi=0,theta=90]} \\
 256      latitudes pour découper\\
 257      la calotte respectivement \\
 258      vers le bas et le haut \\
 259     \end{tabular}
 260      &
 261 \psset{unit=0.44}
 262 \begin{pspicture}(-4,-5)(5,5.5)
 263 \psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz,Decran=50}
 264 \psSolid[object=calottesphere,r=3,ngrid=16 18,
 265    fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30,hollow,RotY=-80]%
 266 \axesIIID(0,3,3)(6,5,4)
 267 \end{pspicture}
 268  &
 269  \begin{minipage}{5cm}
 270  \begin{verbatim}
 271 \psSolid[
 272    object=calottesphere,
 273    r=3,ngrid=16 18,
 274    theta=45,phi=-30,
 275    hollow,RotY=-80]%
 276  \end{verbatim}
 277  \end{minipage}
 278 \\\hline
 279  tore &
 280      \begin{tabular}{c}
 281      \texttt{[r0=4,r1=1.5]} \\
 282      rayon intérieur\\
 283      rayon moyen\\
 284      le maillage :\\
 285      \texttt{[ngrid=n1 n2]}
 286      \end{tabular}
 287      &
 288  \begin{pspicture}(-2,-2)(2,3)
 289 % \psframe(-2,-2)(2,2)
 290  \psset{Decran=30,unit=0.9}
 291  \psSolid[r1=2.5,r0=1.5,object=tore,ngrid=18 36,fillcolor=green!30,action=draw**]%
 292   \axesIIID(4,4,0)(5,5,4)
 293  \end{pspicture}
 294  &
 295  \begin{minipage}{5cm}
 296  \begin{verbatim}
 297  \psSolid[
 298     r1=2.5,r0=1.5,
 299     object=tore,
 300     ngrid=18 36,
 301     fillcolor=green!30,
 302     action=draw*]%
 303  \end{verbatim}
 304  \end{minipage}
 305 \\\hline
 306      \begin{tabular}{c}
 307      anneau \\
 308      cylindrique
 309      \end{tabular}
 310       &
 311      \begin{tabular}{c}
 312      \texttt{[r1=2.5,r0=1.5,}
 313           \\
 314      \texttt{h=6,section=...]}
 315           \\
 316           rayon extérieur
 317           \\
 318           rayon intérieur
 319           \\
 320           hauteur
 321           \\
 322           section \\
 323           rectangulaire
 324      \end{tabular}
 325      &
 326  \begin{pspicture}(-2,-2)(2,3)
 327 %  \psframe(-2,-2)(2,2)
 328  \psset{Decran=30}
 329 \psSolid[object=anneau,fillcolor=yellow,h=1.5,r1=4,r0=3]%
 330  \axesIIID(4,4,0)(5,5,4)
 331  \end{pspicture}
 332  &
 333  \begin{minipage}{5cm}
 334  \begin{verbatim}
 335  \psSolid[
 336     object=anneau,
 337     fillcolor=yellow,
 338     h=1.5,r1=4,r0=3]%
 339  \end{verbatim}
 340  \end{minipage}
 341 \\\hline
 342 \end{tabular}
 343 \end{center}
 344 Une documentation spécifique aux anneaux circulaires et aux
 345 parallélépipèdes est fournie dans la partie exemples :
 346 \begin{itemize}
 347   \item \texttt{doc-grille-parallelepiped.tex(.pdf)} ;
 348   \item \texttt{doc-anneau.tex(.pdf).}
 349 \end{itemize}
 350
 351 %\clearpage
 352
 353 \begin{center}
 354 \psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
 355 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
 356 \begin{tabular}{
 357    >{\bfseries\sffamily\color{blue}} l
 358    >{\centering} m{4cm} m{4cm} m{5cm}}
 359   \hline
 360 \toptableau
 361 \\\hline
 362  tétraèdre&
 363      \begin{tabular}{c}
 364      \texttt{[a=2]} rayon\\
 365      de la sphère\\
 366      circonscrite
 367      \end{tabular}
 368      &
 369  \begin{pspicture}(-2,-2)(2,2)
 370 % \psframe(-2,-2)(2,2)
 371  \psset{Decran=30}
 372  \psSolid[object=tetrahedron,r=3,linecolor=blue,action=draw]%
 373  \end{pspicture}
 374  &
 375  \begin{minipage}{5cm}
 376  \begin{verbatim}
 377 \psSolid[
 378    object=tetrahedron,
 379    r=3,
 380    linecolor=blue,
 381    action=draw]%
 382  \end{verbatim}
 383  \end{minipage}
 384 \\\hline
 385 octaèdre &
 386      \begin{tabular}{c}
 387      \texttt{[a=2]} rayon\\
 388      de la sphère\\
 389      circonscrite
 390      \end{tabular}
 391      &
 392  \begin{pspicture}(-2,-1.85)(2,2.85)
 393 %  \psframe(-2,-2)(2,2)
 394  \psset{Decran=30}
 395  \psSolid[object=octahedron,a=3,linecolor=blue,fillcolor=Turquoise]%
 396  \axesIIID(3,3,3)(4,4,4)
 397  \end{pspicture}
 398  &
 399  \begin{minipage}{5cm}
 400  \begin{verbatim}
 401  \psSolid[
 402     object=octahedron,
 403     a=3,
 404     linecolor=blue,
 405     fillcolor=Turquoise]%
 406  \end{verbatim}
 407  \end{minipage}
 408 \\\hline
 409  dodécaèdre &
 410      \begin{tabular}{c}
 411      \texttt{[a=2]} rayon\\
 412      de la sphère\\
 413      circonscrite
 414      \end{tabular}
 415      &
 416  \begin{pspicture}(-2,-1.85)(2,1.85)
 417 % \psframe(-2,-2)(2,2)
 418  \psset{Decran=30}
 419  \psSolid[object=dodecahedron,a=2.5,RotZ=90,action=draw*,fillcolor=OliveGreen]%
 420  \end{pspicture}
 421  &
 422  \begin{minipage}{5cm}
 423  \begin{verbatim}
 424  \psSolid[
 425     object=dodecahedron,
 426     a=2.5,RotZ=90,
 427     action=draw*,
 428     fillcolor=OliveGreen]%
 429  \end{verbatim}
 430  \end{minipage}
 431 \\ \hline
 432 icosaèdre &
 433      \begin{tabular}{c}
 434      \texttt{[a=2]} rayon\\
 435      de la sphère\\
 436      circonscrite
 437      \end{tabular}
 438      &
 439  \begin{pspicture}(-2,-1.85)(2,2.85)
 440 % \psframe(-2,-2)(2,2)
 441  \psset{Decran=30}
 442  \psSolid[object=icosahedron,a=3,action=draw*,fillcolor=green!50]%
 443  \axesIIID(3,3,3)(4,4,4)
 444  \end{pspicture}
 445  &
 446  \begin{minipage}{5cm}
 447  \begin{verbatim}
 448 \psSolid[
 449    object=icosahedron,
 450    a=3,
 451    action=draw*,
 452    fillcolor=green!50]%
 453  \end{verbatim}
 454  \end{minipage}
 455 \\\hline
 456      prisme
 457       &
 458      \begin{tabular}{c}
 459      \texttt{[axe=0 0 1]}
 460           \\
 461      direction de l'axe
 462           \\
 463      \texttt{[base=}\\
 464      \texttt{-1 -1 1 -1 0 1]}
 465           \\
 466      coordonnées\\
 467      des sommets\\
 468      de la base\\
 469      \texttt{[h=6]} hauteur
 470      \end{tabular}
 471      &
 472  \begin{pspicture}(-2,-2)(2,3)
 473 %  \psframe(-2,-2)(2,2)
 474  \psset{Decran=30,unit=0.9}
 475 \psSolid[object=prisme,action=draw*,linecolor=red,h=4,fillcolor=gray!50]%
 476 \psSolid[object=grille,base=-3 3 -3 3,action=draw]%
 477  \axesIIID(3,3,4)(5,5,5)
 478  \end{pspicture}
 479  &
 480  \begin{minipage}{5cm}
 481  \begin{verbatim}
 482 \psSolid[
 483    object=prisme,
 484    action=draw*,
 485    linecolor=red,
 486    h=4]%
 487  \end{verbatim}
 488  \end{minipage}
 489  \\\hline
 490 \end{tabular}
 491 \end{center}
 492
 493 %\newpage
 494 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 495 \begin{center}
 496 \psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
 497 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
 498 \begin{tabular}{
 499    >{\bfseries\sffamily\color{blue}} l
 500    >{\centering} m{4cm} m{4cm} m{5cm}}
 501   \hline
 502 \toptableau
 503 \\\hline
 504      grille
 505       &
 506      \begin{tabular}{c}
 507      \texttt{[base=-X +X -Y +Y]}
 508      \end{tabular}
 509      &
 510  \begin{pspicture}(-1.5,-2)(2,3)
 511 %  \psframe(-2,-2)(2,2)
 512  \psset{Decran=30,unit=0.9}
 513 \psSolid[object=grille,base=-5 5 -3 3]%
 514  \axesIIID(5,3,0)(6,4,4)
 515  \end{pspicture}
 516  &
 517  \begin{minipage}{5cm}
 518  \begin{verbatim}
 519 \psSolid[
 520    object=grille,
 521    base=-5 5 -3 3]%
 522  \end{verbatim}
 523  \end{minipage}
 524 \\\hline
 525 %
 526    parallélépipède
 527       &
 528      \begin{tabular}{c}
 529      \texttt{[a=4,b=a,c=a]}\\
 530      centre en O
 531      \end{tabular}
 532      &
 533  \begin{pspicture}(-1.5,-2)(2,3)
 534  \psset{Decran=30}
 535 \psSolid[object=parallelepiped,a=5,b=6,c=2,fillcolor=bleuciel](0,0,c 2 div)
 536 \psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,2)
 537 \psSolid[object=grille,base=-1 1 -3 3,RotY=90,action=draw](2.5,0,1)
 538 \psSolid[object=grille,base=-2.5 2.5 -1 1,RotX=-90,action=draw](0,3,1)
 539  \axesIIID(2.5,3,2)(3.5,4,4)
 540  \end{pspicture}
 541  &
 542  \begin{minipage}{5cm}
 543  \begin{verbatim}
 544 \psSolid[
 545    object=parallelepiped,%
 546    a=5,b=6,c=2,
 547    fillcolor=yellow]%
 548    (0,0,c 2 div)
 549  \end{verbatim}
 550  \end{minipage}
 551 \\\hline
 552 %
 553    face
 554       &
 555      \begin{tabular}{l}
 556      \texttt{[base=x0 y0 x1 y1}\\
 557      \texttt{~     x2 y2 etc.]}\\
 558      les coordonnées \\
 559      des sommets\\
 560      dans le sens trigo
 561      \end{tabular}
 562      &
 563 \psset{unit=0.4}
 564 \psset{viewpoint=50 -20 30 rtp2xyz,Decran=50}
 565 \begin{pspicture}(-4,-4)(5,4)
 566 \psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0)
 567 \psSolid[object=face,fillcolor=yellow,
 568       incolor=blue,
 569       base=0 0 3 0 1.5 3
 570       ](0,1,0)
 571 \psSolid[object=face,fillcolor=yellow,
 572       incolor=blue,
 573       base=0 0 3 0 1.5 3,
 574       RotX=180](0,-1,0)
 575 \axesIIID(0,0,0)(6,6,3)
 576 \end{pspicture}
 577  &
 578  \begin{minipage}{5cm}
 579  \begin{verbatim}
 580 \psSolid[
 581    object=face,
 582    fillcolor=yellow,
 583    incolor=blue,
 584    base=0 0 3 0 1.5 3
 585    ](0,1,0)
 586 \psSolid[
 587    object=face,
 588    fillcolor=yellow,
 589    incolor=blue,
 590    base=0 0 3 0 1.5 3,
 591    RotX=180](0,-1,0)
 592  \end{verbatim}
 593  \end{minipage}
 594 \\\hline
 595 %
 596    ruban
 597       &
 598      \begin{tabular}{l}
 599      \texttt{[base=x0 y0 x1 y1}\\
 600      \texttt{~     x2 y2 etc.]}\\
 601      \texttt{[h=hauteur]}\\
 602      \texttt{[ngrid=valeur]}\\
 603      nombre de mailles\\
 604      verticalement\\
 605      \texttt{[axe=0 0 1]}\\
 606      direction de l'inclinaison\\
 607      du ruban
 608      \end{tabular}
 609      &
 610 \psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50,unit=0.5}
 611 \begin{pspicture}(-2,-4)(5,7)
 612 \psSolid[object=grille,base=-4 6 -2 4,action=draw,linecolor=gray](0,0,0)
 613 \psSolid[object=ruban,h=3,fillcolor=red!50,
 614       base=0 0 2 2 4 0 6 2,
 615       num=0 1 2 3,
 616       show=0 1 2 3,
 617       ngrid=3]%
 618 \axesIIID(0,2,0)(6,6,6)
 619 \end{pspicture}
 620  &
 621  \begin{minipage}{5cm}
 622  \begin{verbatim}
 623 \psSolid[
 624    object=ruban,h=3,
 625    fillcolor=red!50,
 626    base=0 0 2 2 4 0 6 2,
 627    num=0 1 2 3,
 628    show=0 1 2 3,
 629    ngrid=3])
 630  \end{verbatim}
 631  \end{minipage}
 632 \\\hline
 633 \end{tabular}
 634 \end{center}
 635
 636 %\newpage
 637
 638 %\begin{center}
 639 %\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
 640 %%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
 641 %\begin{tabular}{
 642 %   >{\bfseries\sffamily\color{blue}} l
 643 %   >{\centering} m{4cm} m{4cm} m{5cm}}
 644 %  \hline
 645 %\toptableau
 646 %%    chemin
 647 %%       &
 648 %%      \begin{tabular}{l}
 649 %%      dessine un chemin\\
 650 %%      défini en postscript\\
 651 %%      sur un plan
 652 %%      \end{tabular}
 653 %%      &
 654 %% \psset{unit=0.4}
 655 %% \begin{pspicture}(-2,-5)(6,8)%
 656 %% \psframe*[linecolor=blue!50](-6,-5)(6,7)
 657 %% \psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60}
 658 %% \psProjection[object=chemin,fillstyle=solid,fillcolor=white,
 659 %%             linewidth=.05,linecolor=red,
 660 %%             normal=1 1 2 180,
 661 %%             path=newpath
 662 %%                 -4 -4 smoveto
 663 %%                 -4 4 slineto
 664 %%                 4 4 slineto
 665 %%                 4 -4 slineto
 666 %%                 closepath
 667 %%             ](1,1,2)
 668 %% \psProjection[object=chemin,
 669 %%       linewidth=.02,
 670 %%       normal=1 1 2 180,
 671 %%       path=newpath
 672 %%           -4 1 4
 673 %%           {-4 exch smoveto
 674 %%            8 0 srlineto} for
 675 %%            -4 1 4
 676 %%           {-4 smoveto
 677 %%            0 8 srlineto} for
 678 %%             ](1,1,2)
 679 %% \psProjection[object=chemin,fillstyle=hlines,hatchcolor=yellow,
 680 %%             linecolor=red,
 681 %%             normal=1 1 2 180,
 682 %%             path=newpath
 683 %%             2 0 moveto
 684 %%             0 2 360 {
 685 %%                 /x exch def
 686 %%                 x cos 2 mul
 687 %%              x sin 2 mul
 688 %%                 slineto
 689 %%          } for
 690 %%             ](1,1,2)
 691 %% \psPoint(0,0,0){O}
 692 %% \psPoint(1,1,2){O1}\psPoint(1.4,1.4,2.8){K}
 693 %% \psline[linewidth=.1,linecolor=red](O1)(K)
 694 %% \psline[linestyle=dashed](O)(O1)
 695 %% \psProjection[object=chemin,
 696 %%       linewidth=.1,
 697 %%       linecolor=green,
 698 %%       normal=1 1 2 180,
 699 %%       path=
 700 %%          newpath
 701 %%             0 0 smoveto
 702 %%             1 0 slineto](1,1,2)
 703 %% \psProjection[object=chemin,
 704 %%       linewidth=.1,
 705 %%       linecolor=blue,
 706 %%       normal=1 1 2 180,
 707 %%       path=
 708 %%          newpath
 709 %%             0 0 smoveto
 710 %%             0 1 slineto](1,1,2)
 711 %% \axesIIID(4,4,2)(5,5,6)
 712 %% \end{pspicture}
 713 %%  &
 714 %%  \begin{minipage}{6cm}
 715 %%  \begin{verbatim}
 716 %%     \psProjection[object=chemin,
 717 %%     fillstyle=hlines,
 718 %%     hatchcolor=yellow,
 719 %%     linecolor=red,
 720 %%     normal=1 1 2 180,
 721 %%     path=newpath
 722 %%     2 0 smoveto
 723 %%     0 2 360 {
 724 %%      /x exch def
 725 %%      x cos 2 mul
 726 %%      x sin 2 mul
 727 %%      slineto
 728 %%     } for
 729 %%     ](1,1,2)
 730 %%  \end{verbatim}
 731 %%  \end{minipage}
 732 %\end{tabular}
 733 %\end{center}
 734
 735 %\newpage
 736 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 737 \begin{center}
 738 \psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
 739 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
 740 \begin{tabular}{
 741    >{\bfseries\sffamily\color{blue}} l
 742    >{\centering} m{4cm} m{4cm} m{5cm}}
 743   \hline
 744 \toptableau
 745 \\\hline
 746    surface
 747       &
 748      \begin{tabular}{l}
 749      voir la \\
 750      documentation\\
 751      spécifique
 752      \end{tabular}
 753      &
 754 \psset{unit=0.4}
 755 \psset{lightsrc=30 30 25}
 756 \psset{viewpoint=50 40 30 rtp2xyz,Decran=50}
 757 \begin{pspicture}(-4,-8)(6,8)
 758 \psSurface[ngrid=.25 .25,incolor=white,axesboxed](-4,-4)(4,4){%
 759    x dup mul y dup mul 3 mul sub x mul 32 div}
 760 \end{pspicture}
 761  &
 762  \begin{minipage}{5cm}
 763  \begin{verbatim}
 764 \psSurface[ngrid=.25 .25,
 765   incolor=Wwhite,axesboxed]
 766   (-4,-4)(4,4){%
 767   x dup mul y dup mul 3 mul
 768   sub x mul 32 div}
 769  \end{verbatim}
 770  \end{minipage}
 771 \\\hline
 772 %
 773    new
 774       &
 775      \begin{tabular}{l}
 776      solide défini\\
 777      par les coordonnées \\
 778      des sommets\\
 779      et les faces
 780      \end{tabular}
 781      &
 782 \psset{unit=0.4}
 783 \psset{viewpoint=50 -20 30 rtp2xyz,Decran=50}
 784 \begin{pspicture}(-5,-4)(5,9)
 785 %\psframe(-7,-4)(7,9)
 786 \psSolid[object=new,
 787          action=draw,
 788          sommets=
 789          2  4  3
 790         -2  4  3
 791         -2 -4  3
 792          2 -4  3
 793          2  4  0
 794         -2  4  0
 795         -2 -4  0
 796          2 -4  0
 797          0  4  5
 798          0 -4  5,
 799     faces={
 800         [0 1 2 3]
 801         [7 6 5 4]
 802         [0 3 7 4]
 803         [3 9 2]
 804         [1 8 0]
 805         [8 9 3 0]
 806         [9 8 1 2]
 807         [6 7 3 2]
 808         [2 1 5 6]},
 809         num=all,
 810       show=all]%
 811 \axesIIID(0,0,0)(5,5,7)
 812 \end{pspicture}
 813  &
 814  \begin{minipage}{5cm}
 815  \begin{verbatim}
 816  \psSolid[object=new,
 817          action=draw,
 818          sommets=
 819          2  4  3
 820         -2  4  3
 821         -2 -4  3
 822          2 -4  3
 823          2  4  0
 824         -2  4  0
 825         -2 -4  0
 826          2 -4  0
 827          0  4  5
 828          0 -4  5,
 829     faces={
 830         [0 1 2 3]
 831         [7 6 5 4]
 832         [0 3 7 4]
 833         [3 9 2]
 834         [1 8 0]
 835         [8 9 3 0]
 836         [9 8 1 2]
 837         [6 7 3 2]
 838         [2 1 5 6]}]%
 839  \end{verbatim}
 840  \end{minipage}
 841 \\\hline
 842 %
 843    courbe
 844       &
 845      \begin{tabular}{l}
 846      tracé d'une fonction\\
 847      R --> R\textsuperscript{3}\\
 848      définie par ses\\
 849      équations paramétriques\\
 850      \end{tabular}
 851      &
 852 \psset{unit=0.35}
 853 \psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50}
 854 \begin{pspicture}(-6,-3)(5,8)
 855 \psframe*[linecolor=blue!50](-6,-3)(6,8)
 856 \psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]%
 857 \axesIIID(0,0,0)(4,4,7)
 858 \defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t}
 859 \psSolid[object=courbe,r=0,
 860         range=0 6,
 861         linecolor=blue,linewidth=0.1,
 862         resolution=360,
 863         function=helice]%
 864 \end{pspicture}
 865  &
 866  \begin{minipage}{5cm}
 867  \footnotesize
 868  \begin{verbatim}
 869 \defFunction[algebraic]%
 870    {helice}(t)
 871    {3*cos(4*t)}{3*sin(4*t)}{t}
 872 \psSolid[object=courbe,r=0,
 873    range=0 6,
 874    linecolor=blue,linewidth=0.1,
 875    resolution=360,
 876    function=helice]%
 877  \end{verbatim}
 878  \end{minipage}
 879 \\\hline
 880 %%    courbeR2
 881 %%       &
 882 %%      \begin{tabular}{l}
 883 %%      tracé d'une fonction\\
 884 %%      R --> R\textsuperscript{2}\\
 885 %%      définie par ses\\
 886 %%      équations paramétriques\\
 887 %%      \end{tabular}
 888 %%      &
 889 %% \psset{unit=0.4}
 890 %% \begin{pspicture}(-6,-7)(6,6)
 891 %% \psframe*[linecolor=yellow!50](-6,-6)(6,6)
 892 %% \psset{viewpoint=50 -20 30 rtp2xyz,Decran=50}
 893 %% {\psset{linewidth=0.5\pslinewidth,linecolor=gray}
 894 %% \psSolid[object=grille,base=-4 4 -4 0,RotX=90,RotZ=90]%
 895 %% \psSolid[object=grille,base=-4 4 -4 4]%
 896 %% \psSolid[object=grille,base=-4 4 0 4,RotX=90,RotZ=90]}
 897 %% \defFunction{parabole}(t){t}{t dup mul}{}
 898 %% \defFunction{droite}(t){t}{t 2 add }{}
 899 %% \axesIIID(0,0,0)(4,4,4)
 900 %% \psProjection[object=chemin,
 901 %%       linewidth=.1,
 902 %%       linecolor=blue,
 903 %%       normal=0 1 0 1 0 0,
 904 %%       path=
 905 %%          newpath
 906 %%             0 0 moveto
 907 %%             1 0 lineto]
 908 %% \psProjection[object=chemin,
 909 %%       linewidth=.1,
 910 %%       linecolor=red,
 911 %%       normal=0 1 0 1 0 0,
 912 %%       path=
 913 %%          newpath
 914 %%             0 0 moveto
 915 %%             0 1 lineto]
 916 %% \psProjection[object=courbeR2,
 917 %%    range=-1 2,fillstyle=vlines,hatchwidth=0.5\pslinewidth,
 918 %%    normal=0 1 0 1 0 0,
 919 %%    function=parabole]
 920 %% \psProjection[object=courbeR2,
 921 %%    range=-2 2,
 922 %%    linecolor=green,
 923 %%    normal=0 1 0 1 0 0,
 924 %%    function=parabole]
 925 %% \psProjection[object=courbeR2,
 926 %%    range=-2 2 ,
 927 %%    linecolor=red,
 928 %%    normal=0 1 0 1 0 0,
 929 %%    function=droite]
 930 %% \psPoint(0,0,4.15){Z1}
 931 %% \uput*[60](Z1){$z=y^2$}
 932 %% \rput(0,-6.5){\psframebox[linecolor=yellow!50]{\texttt{$\backslash${}defFunction\{parabole\}(t)\{t\}\{t dup mul\}\{\}}}}
 933 %% \end{pspicture}
 934 %%  &
 935 %%  \begin{minipage}{6cm}
 936 %%  \footnotesize
 937 %%  \begin{verbatim}
 938 %% \psProjection[object=courbeR2,
 939 %%    range=-2 2,
 940 %%    linecolor=green,
 941 %%    normal=0 1 0 1 0 0,
 942 %%    function=parabole]
 943 %%  \end{verbatim}
 944 %%  \end{minipage}
 945 %% \\\hline
 946 \end{tabular}
 947 \end{center}
 948