%% $Id: pst-hyperboloid-doc-exa8.tex 1275 2026-06-03 13:31:25Z herbert $

\begin{externalDocument}[
  compiler=lualatex, runs=1, crop,
  %xindex, xindexOptions={-l DE --config AU},
  %mpwidth=0.6\linewidth, 
  usefancyvrb=false,
  docType=latex,
]{voss}
\DocumentMetadata{}
\documentclass{article}
\pagestyle{empty}
\usepackage{libertinus}
%StartVisiblePreamble
\usepackage[dvipsnames,svgnames]{pstricks}
\usepackage{pst-hyperboloid}
%StopVisiblePreamble
\begin{document}
\begin{pspicture}(-8,-7)(8,7)
\psset{solidmemory,viewpoint=50 30 20 rtp2xyz,lightsrc=viewpoint,Decran=50}
\pstVerb{/Hauteur 8 def
         /nEtages 20 def
         /Pas 1 nEtages div def
         /nMeridiens 36 def
         /DemiAxeFocal 2 def % rayon de l'étranglement au milieu
         /RayonBases 4 def}%
\psSolid[object=grille,base=-4 4 -4 4,linewidth=0.5\pslinewidth](0,0,Hauteur 2 div neg)
\psSolid[object=new,fillcolor=red!50,incolor=yellow,hollow,action=draw**,
  sommets=0.5 Pas neg -0.5 Pas neg add{
    /k exch def
    0 1 nMeridiens 1 sub {
      /i exch def
      /r 4 k dup mul mul RayonBases dup mul DemiAxeFocal dup mul sub mul DemiAxeFocal dup mul add sqrt def
      360 nMeridiens div i mul cos r mul
      360 nMeridiens div i mul sin r mul
      k Hauteur mul
    } for
  } for,
  faces={
    0 1 nEtages 1 sub {
      /k1 exch def
      k1 nMeridiens mul 1 add 1 k1 1 add nMeridiens mul 1 sub {
        /i exch def
        [i i 1 sub nMeridiens i add 1 sub nMeridiens i add]
      } for
      [k1 nMeridiens mul k1 1 add nMeridiens mul 1 sub k1 2 add nMeridiens mul 1 sub k1 1 add nMeridiens mul]
    } for
  },
  plansepare={[1 0 0 DemiAxeFocal neg]}, name=coupeHyperboloidTest,action=none]
\psSolid[object=load,incolor=yellow!50,fillcolor=ForestGreen!20,rm=2 609,
   intersectionplan={[1 0 0 DemiAxeFocal neg]},intersectioncolor=(bleu), intersectionlinewidth=2,
   intersectiontype=0, load=coupeHyperboloidTest1]
\psSolid[object=plan, definition=equation,args={[1 0 0 DemiAxeFocal neg] 90},linecolor=red,
%   fillcolor=Aquamarine,
   planmarks,base=-4 4 -4 4,showBase,action=draw]
\gridIIID[Zmin=-4,Zmax=4](-4,4)(-4,4)
\end{pspicture}
\end{document}
\end{externalDocument}
