1 \section {The predefined solids and their parameters
}
4 \texttt{\Lcs{psSolid
}[object=
\textsl{name
}]$(x, y ,z)$
} which allows us to translate the chosen object to the point with the coordinates $(x, y,
7 The available predefined names for the objects are:
9 {\ttfamily%\flushleft \hyphenchar\font`\-%
10 point, line, vector, plan, grille, cube, cylindre, cylindrecreux, cone, conecreux, tronccone,
11 troncconecreux, sphere, calottesphere, calottespherecreuse, tore,
12 tetrahedron, octahedron, dodecahedron,
13 isocahedron, anneau, prisme, prismecreux, parallelepiped, face, polygonregulier, ruban, surface, surface*, surfaceparamettree, pie, fusion, geode, load, offfile, objfile, datfile, new.
}
17 The following table gives an example of every one of the above named solids with their specified parameters:
20 \begin{tabular
}{>
{\bfseries\sffamily\color{blue
}}lcm
{4cm
}m
{5cm
}}
26 \texttt{[args=
1 1 0]}\\
30 \begin{pspicture
}(-
2,-
2)(
2,
2)
31 \psset{lightsrc=
10 5 20,viewpoint=
50 20 30 rtp2xyz
}
32 \psSolid[object=point,args=
1 1 0]%
38 \psSolid[object=point,
45 \texttt{[args=
0 -
1 0 1 2 2]}\\
50 \begin{pspicture
}(-
2,-
2)(
2,
2)
51 \psset{lightsrc=
10 5 20,viewpoint=
50 20 30 rtp2xyz
}
52 \psSolid[object=line,args=
0 -
1 0 1 2 2]
65 \texttt{[args=
1 2 2]}\\
70 \begin{pspicture
}(-
2,-
2)(
2,
2)
71 \psset{lightsrc=
10 5 20,viewpoint=
50 20 30 rtp2xyz
}
72 \psSolid[object=vecteur,args=
1 2 2]
78 \psSolid[object=vecteur,
85 \texttt{[base=-x x -y y
]}\\
87 \texttt{args=
{[0 0 1 0]}}\\
91 \begin{pspicture
}(-
2,-
2)(
2,
2)
92 \psset{lightsrc=
10 5 20,viewpoint=
50 20 30 rtp2xyz
}
100 \begin{minipage
}{5cm
}
102 \psSolid[object=plan,
114 \begin{tabular
}{>
{\bfseries\sffamily\color{blue
}}lcm
{4cm
}m
{5cm
}}
118 \Index{Cube
}&
\begin{tabular
}{c
}
123 \begin{pspicture
}(-
2,-
2)(
2,
2)
124 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
127 object=cube,a=
2,action=draw*,fillcolor=magenta!
20]%
128 \axesIIID(
1,
1,
1)(
1.5,
1.5,
1.5)
131 \begin{minipage
}{5cm
}
137 fillcolor=magenta!
20]
146 \texttt{[ngrid=n1 n2
]}
149 \begin{pspicture
}(-
2,-
2.5)(
2,
3)
150 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
152 \psSolid[object=cylindre,h=
5,r=
2,fillcolor=white,ngrid=
4 32](
0,
0,-
3)
153 \axesIIID(
2,
2,
2.5)(
3,
3,
3.5)
156 \begin{minipage
}{5cm
}
167 \Index{Hollow Cylinder
}&
172 \texttt{[ngrid=n1 n2
]}
175 \begin{pspicture
}(-
2,-
2.5)(
2,
3)
176 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
178 \psSolid[object=cylindrecreux,h=
5,r=
2,fillcolor=white,mode=
4,incolor=green!
50](
0,
0,-
2.5)
179 \axesIIID(
2,
2,
2.5)(
3,
3,
4.5)
182 \begin{minipage
}{5cm
}
185 object=cylindrecreux,
198 \begin{tabular
}{>
{\bfseries\sffamily\color{blue
}}lcm
{4cm
}m
{5cm
}}
207 \texttt{[ngrid=n1 n2
]}
210 \begin{pspicture
}(-
2,-
1)(
2,
4)
211 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
213 \psSolid[object=cone,h=
5,r=
2,fillcolor=cyan,mode=
4]%
214 \axesIIID(
2,
2,
5)(
2.5,
2.5,
6)
217 \begin{minipage
}{5cm
}
232 \texttt{[ngrid=n1 n2
]}
235 \begin{pspicture
}(-
2,-
1)(
2,
4)
236 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
238 \psSolid[object=conecreux,h=
5,r=
2,fillcolor=white,mode=
4,RotY=-
60,incolor=green!
50]%
239 \axesIIID(
2,
2,
5)(
2.5,
2.5,
6)
242 \begin{minipage
}{5cm
}
254 \Index{Truncated Cone
}&
256 \texttt{[h=
6,r0=
4,r1=
1.5]}\\
259 \texttt{[ngrid=n1 n2
]}
262 \begin{pspicture
}(-
2,-
1)(
2,
4)
263 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
265 \psSolid[object=tronccone,r0=
2,r1=
1.5,h=
5,fillcolor=cyan,mode=
4]%
266 \axesIIID(
2,
2,
5)(
2.5,
2.5,
6)
269 \begin{minipage
}{5cm
}
285 \texttt{[h=
6,r0=
4,r1=
1.5]}\\
288 \texttt{[ngrid=n1 n2
]}
291 \begin{pspicture
}(-
2,-
1)(
2,
4)
292 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
294 \psSolid[object=troncconecreux,r0=
2,r1=
1,h=
5,fillcolor=white,mode=
4]%
295 \axesIIID(
2,
2,
5)(
2.5,
2.5,
6)
298 \begin{minipage
}{5cm
}
301 object=troncconecreux,
313 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
315 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}}
317 >
{\bfseries\sffamily\color{blue
}} l
318 >
{\centering} m
{4cm
} m
{4cm
} m
{5cm
}}
327 \texttt{[ngrid=n1 n2
]}
330 \begin{pspicture
}(-
2,-
2)(
2,
3)
331 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
333 \psSolid[object=sphere,r=
3,fillcolor=red!
25,ngrid=
18 18,linewidth=
0.2\pslinewidth]%
334 \axesIIID(
3,
3,
3)(
4,
4,
4)
337 \begin{minipage
}{5cm
}
341 r=
2,fillcolor=red!
25,
353 \texttt{[phi=
0,theta=
90]} \\
354 latitude for slicing\\
355 the zone respectively \\
356 from the bottom and top \\
359 \begin{pspicture
}(-
2,-
3)(
5,
3)
361 \psset{lightsrc=
42 24 13,viewpoint=
50 30 15 rtp2xyz,Decran=
50}
362 \psSolid[object=calottesphere,r=
3,ngrid=
16 18,
363 fillcolor=cyan!
50,incolor=yellow,theta=
45,phi=-
30,hollow,RotY=-
80]%
364 \axesIIID(
0,
3,
3)(
6,
5,
4)
367 \begin{minipage
}{5cm
}
370 object=calottesphere,
379 \texttt{[r0=
4,r1=
1.5]} \\
383 \texttt{[ngrid=n1 n2
]}
386 \begin{pspicture
}(-
2,-
2)(
2,
2.35)
387 \psset{lightsrc=
42 24 13,viewpoint=
50 30 15 rtp2xyz
}
388 \psset{Decran=
30,unit=
0.9cm
}
389 \psSolid[r1=
2.5,r0=
1.5,object=tore,ngrid=
18 36,fillcolor=green!
30,action=draw**
]%
390 \axesIIID(
4,
4,
0)(
5,
5,
4)
393 \begin{minipage
}{5cm
}
411 inner and outer radius\\
412 \texttt{h=
6,section=...
]}\\
418 \begin{pspicture
}(-
2,-
2)(
2,
2.35)
420 \psset{lightsrc=
42 24 13,viewpoint=
50 30 15 rtp2xyz
}
422 \psSolid[object=anneau,fillcolor=yellow,h=
1.5,R=
4,r=
3]%
423 \axesIIID(
4,
4,
0)(
5,
5,
4)
426 \begin{minipage
}{5cm
}
440 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
442 >
{\bfseries\sffamily\color{blue
}} l
443 >
{\centering} m
{4cm
} m
{4cm
} m
{5cm
}}
454 \begin{pspicture
}(-
2,-
2)(
2,
2)
455 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
457 \psSolid[object=tetrahedron,r=
3,linecolor=blue,action=draw
]%
460 \begin{minipage
}{5cm
}
477 \begin{pspicture
}(-
2,-
1.85)(
2,
2.85)
478 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
480 \psSolid[object=octahedron,a=
3,linecolor=blue,fillcolor=Turquoise
]%
481 \axesIIID(
3,
3,
3)(
4,
4,
4)
484 \begin{minipage
}{5cm
}
490 fillcolor=Turquoise
]%
494 \Index{Dodecahedron
} &
501 \begin{pspicture
}(-
2,-
1.85)(
2,
1.85)
502 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
504 \psSolid[object=dodecahedron,a=
2.5,RotZ=
90,action=draw*,fillcolor=OliveGreen
]%
507 \begin{minipage
}{5cm
}
513 fillcolor=OliveGreen
]%
517 \Index{Icosahedron
} &
524 \begin{pspicture
}(-
2,-
1.85)(
2,
2.85)
525 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
527 \psSolid[object=icosahedron,a=
3,action=draw*,fillcolor=green!
50]%
528 \axesIIID(
3,
3,
3)(
4,
4,
4)
531 \begin{minipage
}{5cm
}
544 \texttt{[axe=
0 0 1]}\\
545 direction of the axis\\
547 \texttt{-
1 -
1 1 -
1 0 1]}\\
555 \begin{pspicture
}(-
2,-
2)(
2,
3)
556 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
557 \psset{Decran=
30,unit=
0.9cm
}
558 \psSolid[object=prisme,action=draw*,linecolor=red,h=
4,fillcolor=gray!
50]%
559 \psSolid[object=grille,base=-
3 3 -
3 3,action=draw
]%
560 \axesIIID(
3,
3,
4)(
5,
5,
5)
563 \begin{minipage
}{5cm
}
577 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
579 %\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz}
580 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
582 >
{\bfseries\sffamily\color{blue
}} l
583 >
{\centering} m
{4cm
} m
{4cm
} m
{5cm
}}
590 \texttt{[base=-X +X -Y +Y
]}
593 \begin{pspicture
}(-
1.5,-
2)(
2,
3)
594 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
595 \psset{Decran=
30,unit=
0.9cm
}
596 \psSolid[object=grille,base=-
5 5 -
3 3]%
597 \axesIIID(
5,
3,
0)(
6,
4,
4)
600 \begin{minipage
}{5cm
}
612 \texttt{[a=
4,b=
3,c=
2]}\\
617 \begin{pspicture
}(-
1.5,-
2)(
2,
3)
618 \psset{lightsrc=
10 20 30,viewpoint=
50 20 30 rtp2xyz
}
620 \psSolid[object=parallelepiped,a=
5,b=
6,c=
2,fillcolor=bleuciel,axe=
1 1 1](
0,
0,c
2 div)
621 \psSolid[object=grille,base=-
2.5 2.5 -
3 3,action=draw
](
0,
0,
2)
622 \psSolid[object=grille,base=-
1 1 -
3 3,RotY=
90,action=draw
](
2.5,
0,
1)
623 \psSolid[object=grille,base=-
2.5 2.5 -
1 1,RotX=-
90,action=draw
](
0,
3,
1)
624 \axesIIID(
2.5,
3,
2)(
3.5,
4,
4)
627 \begin{minipage
}{5cm
}
630 object=parallelepiped,
%
641 \texttt{[base=x0 y0 x1 y1
}\\
642 \texttt{~ x2 y2 etc.
]}\\
647 \begin{pspicture
}(-
2,-
2)(
3,
2)
649 \psset{viewpoint=
50 -
20 30 rtp2xyz,Decran=
50}
650 \psSolid[object=grille,base=-
4 6 -
4 4,action=draw,linecolor=gray
](
0,
0,
0)
651 \psSolid[object=face,fillcolor=yellow,
655 \psSolid[object=face,fillcolor=yellow,
659 \axesIIID(
0,
0,
0)(
6,
6,
3)
662 \begin{minipage
}{5cm
}
683 \texttt{[base=x0 y0 x1 y1
}\\
684 \texttt{~ x2 y2 etc.
]}\\
685 \texttt{[h=height
]}\\
686 \texttt{[ngrid=value
]}\\
687 number of gridlines\\
688 \texttt{[axe=
0 0 1]}\\
689 direction of inclination\\
693 \begin{pspicture
}(-
2,-
2)(
5,
3)
694 \psset{lightsrc=
10 0 10,viewpoint=
50 -
20 30 rtp2xyz,Decran=
50,unit=
0.5cm
}
695 \psSolid[object=grille,base=-
4 6 -
2 4,action=draw,linecolor=gray
](
0,
0,
0)
696 \psSolid[object=ruban,h=
3,fillcolor=red!
50,
697 base=
0 0 2 2 4 0 6 2,
701 \axesIIID(
0,
2,
0)(
6,
6,
6)
704 \begin{minipage
}{5cm
}
709 base=
0 0 2 2 4 0 6 2,
722 %\psset{lightsrc=10 20 30,SphericalCoor,viewpoint=50 20 30}
723 %%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
725 % >{\bfseries\sffamily\color{blue}} l
726 % >{\centering} m{4cm} m{4cm} m{5cm}}
731 %% \begin{tabular}{l}
732 %% dessine un chemin\\
733 %% d\'{e}fini en postscript\\
737 %% \psset{unit=0.4cm}
738 %% \begin{pspicture}(-2,-5)(6,8)%
739 %% \psframe*[linecolor=blue!50](-6,-5)(6,7)
740 %% \psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60}
741 %% \psProjection[object=chemin,fillstyle=solid,fillcolor=white,
742 %% linewidth=.05,linecolor=red,
751 %% \psProjection[object=chemin,
762 %% \psProjection[object=chemin,fillstyle=hlines,hatchcolor=yellow,
774 %% \psPoint(0,0,0){O}
775 %% \psPoint(1,1,2){O1}\psPoint(1.4,1.4,2.8){K}
776 %% \psline[linewidth=.1,linecolor=red](O1)(K)
777 %% \psline[linestyle=dashed](O)(O1)
778 %% \psProjection[object=chemin,
785 %% 1 0 slineto](1,1,2)
786 %% \psProjection[object=chemin,
793 %% 0 1 slineto](1,1,2)
794 %% \axesIIID(4,4,2)(5,5,6)
797 %% \begin{minipage}{6cm}
799 %% \psProjection[object=chemin,
801 %% hatchcolor=yellow,
819 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
821 %\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}}
823 >
{\bfseries\sffamily\color{blue
}} l
824 >
{\centering} m
{4cm
} m
{4cm
} m
{5cm
}}
836 \begin{pspicture
}(-
2,-
3)(
3,
3)
837 \psset{unit=
0.4cm,lightsrc=
30 30 25,viewpoint=
50 40 30 rtp2xyz,Decran=
50}
838 \psSurface[ngrid=
.25 .25,incolor=white,axesboxed
](-
4,-
4)(
4,
4)
{%
839 x dup mul y dup mul
3 mul sub x mul
32 div
}
842 \begin{minipage
}{5cm
}
844 \psSurface[ngrid=
.25 .25,
845 incolor=white,axesboxed
]
847 x dup mul y dup mul
3 mul
857 by the coordinates \\
864 \begin{pspicture
}(-
2,-
2)(
2,
4)
866 \psset{viewpoint=
50 -
20 30 rtp2xyz,Decran=
50}
892 \axesIIID(
0,
0,
0)(
5,
5,
7)
895 \begin{minipage
}{5cm
}
927 curve of a function\\
928 $
\mathbb{R
} \rightarrow \mathbb{R
}^
3$\\
930 paramterised equations\\
934 \begin{pspicture
}(-
2,-
1)(
1.75,
2.7)
936 \psset{lightsrc=
10 -
20 50,viewpoint=
50 -
20 20 rtp2xyz,Decran=
50}
937 %\psframe*[linecolor=blue!50](-6,-3)(6,8)
938 \psSolid[object=grille,base=-
4 4 -
4 4,linecolor=red,linewidth=
0.5\pslinewidth]%
939 \axesIIID(
0,
0,
0)(
4,
4,
7)
940 \defFunction[algebraic
]{helice
}(t)
{3*cos(
4*t)
}{3*sin(
4*t)
}{t
}
941 \psSolid[object=courbe,r=
0,
943 linecolor=blue,linewidth=
0.1,
948 \begin{minipage
}{5cm
}
951 \defFunction[algebraic
]%
953 {3*cos(
4*t)
}{3*sin(
4*t)
}{t
}
954 \psSolid[object=courbe,r=
0,
965 %% \begin{tabular}{l}
966 %% trac\'{e} d'une fonction\\
967 %% R --> R\textsuperscript{2}\\
968 %% d\'{e}finie par ses\\
969 %% \'{e}quations param\'{e}triques\\
972 %% \psset{unit=0.4cm}
973 %% \begin{pspicture}(-6,-7)(6,6)
974 %% \psframe*[linecolor=yellow!50](-6,-6)(6,6)
975 %% \psset{SphericalCoor,viewpoint=50 -20 30,Decran=50}
976 %% {\psset{linewidth=0.5\pslinewidth,linecolor=gray}
977 %% \psSolid[object=grille,base=-4 4 -4 0,RotX=90,RotZ=90]%
978 %% \psSolid[object=grille,base=-4 4 -4 4]%
979 %% \psSolid[object=grille,base=-4 4 0 4,RotX=90,RotZ=90]}
980 %% \defFunction{parabole}(t){t}{t dup mul}{}
981 %% \defFunction{droite}(t){t}{t 2 add }{}
982 %% \axesIIID(0,0,0)(4,4,4)
983 %% \psProjection[object=chemin,
986 %% normal=0 1 0 1 0 0,
991 %% \psProjection[object=chemin,
994 %% normal=0 1 0 1 0 0,
999 %% \psProjection[object=courbeR2,
1000 %% range=-1 2,fillstyle=vlines,hatchwidth=0.5\pslinewidth,
1001 %% normal=0 1 0 1 0 0,
1002 %% function=parabole]
1003 %% \psProjection[object=courbeR2,
1006 %% normal=0 1 0 1 0 0,
1007 %% function=parabole]
1008 %% \psProjection[object=courbeR2,
1011 %% normal=0 1 0 1 0 0,
1013 %% \psPoint(0,0,4.15){Z1}
1014 %% \uput*[60](Z1){$z=y^2$}
1015 %% \rput(0,-6.5){\psframebox[linecolor=yellow!50]{\texttt{$\backslash${}defFunction\{parabole\}(t)\{t\}\{t dup mul\}\{\}}}}
1018 %% \begin{minipage}{6cm}
1021 %% \psProjection[object=courbeR2,
1024 %% normal=0 1 0 1 0 0,
1025 %% function=parabole]
1032 Some information about rings and parallelepipeds is available in the documents:
1034 \item \texttt{doc-grille-parallelepiped.tex(.pdf)
};
1035 \item \texttt{doc-anneau.tex(.pdf).
}
1037 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Projets / pst-solides3d.git / blob
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