[pstricks] Plotting a Mobius-strip with PStricks

[Juergen Gilg]

Heloo Fosk,

you might try -- however i think some better results are possible with 
pst-solides3d -- see the documentation about surfaces in R^3:

\documentclass{article}
\usepackage{pst-3dplot}

\makeatletter
\define at key[psset]{pst-3dplot}{HueBegin}{% Between 0 and 1
 \def\PstHSB at HueBegin{#1}}
\define at key[psset]{pst-3dplot}{HueEnd}{% Between 0 and 1
 \def\PstHSB at HueEnd{#1}}
\define at boolkey[psset]{pst-3dplot}[Pst@]{HSB}[true]{}
% Default values
\psset[pst-3dplot]{HueBegin=0,HueEnd=1,HSB=false}
\psset{dimen=outer}

\def\parametricPlotThreeD at iii{%   without arrows (quickplot)
 \addto at pscode{%
   \psk at ThreeDplot@yPlotpoints {
     /Counter 0 def
     /t tMin def
     xyz \@nameuse{beginqp@\psplotstyle}
     /t t dt add def
     \psk at ThreeDplot@xPlotpoints\space 1 sub {
       xyz
       /Counter Counter 1 add def
       1 Counter eq { moveto currentpoint /OldY ED /OldX ED }
       {\ifPst at HSB % Other points than the first one
        /PointY exch def
        /PointX exch def
        Counter \psk at ThreeDplot@xPlotpoints\space div
        \PstHSB at HueEnd\space
        \PstHSB at HueBegin\space sub mul
        \PstHSB at HueBegin\space add
        1 1 sethsbcolor
        OldX OldY PointX PointY lineto lineto
        stroke
        PointX PointY moveto
    /OldX PointX def /OldY PointY def
      \else lineto \fi } ifelse
       /t t dt add def
     } repeat
     /t t dt sub def
     /u u du add def
   } repeat
 }%
 \@nameuse{endqp@\psplotstyle}%
}
\makeatother

\begin{document}
\psset{Beta=20}
\begin{pspicture}(-4,-4)(4,4)
\def\Radius{5 }
\parametricplotThreeD[plotstyle=line,xPlotpoints=100,
 yPlotpoints=100,drawStyle=xyLines,HSB](0,365)(-1,1){
 t 2 div cos u mul \Radius add t cos mul
 t 2 div cos u mul \Radius add t sin mul
 t 2 div sin u mul }
%\pstThreeDCoor[xMin=-1,yMin=-1,zMin=-1]
\parametricplotThreeD[plotstyle=line,xPlotpoints=100,yPlotpoints=1,
  linecolor=black,linewidth=1.5pt](488,-60){
 t 2 div cos \Radius add t cos mul
 t 2 div cos \Radius add t sin mul
 t 2 div sin }
\parametricplotThreeD[plotstyle=line,xPlotpoints=100,yPlotpoints=1,
  linecolor=black,linewidth=1.5pt](631,513){
 t 2 div cos \Radius add t cos mul
 t 2 div cos \Radius add t sin mul
 t 2 div sin }
\end{pspicture}
\end{document}


Regards,

Juergen

Fosk wrote:
>
> Good morning everybody. How can I draw a Mobius strip using PStricks? 
> I tried using pst-plot3d but i can't control the design of parametric 
> 2-manifold (i obviously know a global atlas) ...I found only the 
> function allowing to draw parametric curves in R3.
>
> Thanks a lot
>
>
> ------------------------------------------------------------------------
>
> _______________________________________________
> PSTricks mailing list
> PSTricks at tug.org
> http://tug.org/mailman/listinfo/pstricks
>   

-- 
 Jürgen Gilg
 Austr. 59
 70376 Stuttgart
-------------------------------------
 Tel       0711.59 27 88
 e-Mail    gilg at acrotex.net
 Websites  www.acrotex.net
           www.brueckenkurs-physik.de
           www.gilligan-online.de

-------------- next part --------------
An HTML attachment was scrubbed...
URL: http://tug.org/pipermail/pstricks/attachments/20081218/0bda0a14/attachment.html