[pstricks] Slices of a solid of revolution
Juergen Gilg
gilg at acrotex.net
Wed Jun 13 18:17:12 CEST 2007
with parameters...
\documentclass[a4paper,12pt]{article}
\usepackage{pstricks}
\usepackage{pst-3dplot}
%\usepackage{pst-grad}
\parindent=0pt
\makeatletter
\begin{document}
\begin{pspicture}(-5,-5)(5,5)
\psset{Beta=20,Alpha=160}
\pstThreeDCoor
\pstThreeDPut(0,0,0){
\parametricplotThreeD[xPlotpoints=20,yPlotpoints=20,linecolor=red,drawStyle=yLines,plotstyle=line,linewidth=0.5pt](0,1)(0,360){%
t
u sin t mul t mul
u cos t mul t mul
}
}
\pstThreeDPut(0,0,0){
\parametricplotThreeD[xPlotpoints=20,yPlotpoints=20,linecolor=blue,drawStyle=xLines,plotstyle=line,linewidth=0.5pt](0,1)(0,360){%
t
u sin t mul
u cos t mul
}
}
\end{pspicture}
\end{document}
Juergen
Juergen Gilg wrote:
> ... what about using
>
> \parametricplotThreeD
>
> and paramterize the "volume curves"
>
> Juergen
>
> Herbert Voss wrote:
>> Hamed wrote:
>>
>>> Hi everybody,
>>>
>>> First of all, thanks a lot for Juergen,
>>>
>>> Second, my question was about the slice of a solid of revolution.
>>>
>>> I meant can we do the slice for the solid obtained by rotating the region
>>> bounded by y=x and y=x^2 about the x-axis
>>>
>>>
>> hope, this helps
>>
>> Herbert
>>
>> \documentclass{article}
>> \usepackage{pst-plot}
>> \SpecialCoor
>> \usepackage{multido}
>> \parindent=0pt
>>
>> #1: x1; #2: x2: #3: no of steps; #4: equation
>> \def\psVolume(#1,#2)#3#4{{%
>> \psplot{#1}{#2}{#4}\psplot{#1}{#2}{#4 neg}
>> \multido{\iA=1+1}{#3}{%
>> \pscustom[fillcolor=green,fillstyle=solid]{%
>> \code{
>> /dX #2 #1 sub #3 div def
>> /Start dX \iA\space 1 sub mul #1 add def
>> /End Start dX add def
>> /Height End Start add 2 div /x ED #4 def }
>> \psellipticarc(!Start 0)(! Height 8 div Height){90}{270}
>> \rlineto(! dX 0)
>> \psellipticarc(!End 0)(! Height 8 div Height){270}{90}
>> \rlineto(!dX neg 0)}}
>> \psellipticarc(#2,0)(! #2 dup #1 sub #3 div 2 div sub
>> /x ED x 4 div #4){90}{270}
>>
>> \psset{plotstyle=line,linestyle=dashed,plotpoints=40,dotstyle=*,dotsize=0.5pt}
>> \psplot{#1}{#2}{#4}\psplot{#1}{#2}{#4 neg}%
>> }\ignorespaces}
>>
>> \begin{document}
>>
>> \psset{xunit=2}
>> \begin{pspicture}(-0.5,-4)(4,4)
>> \psaxes{->}(0,0)(0,-4)(3,4)
>> \psVolume(0,1){2}{x}
>> \psVolume(1,2){2}{x dup mul}
>> \psline(2,0)(3,0)
>> \end{pspicture}
>>
>> \begin{pspicture}(-0.5,-4)(4,4)
>> \psaxes{->}(0,0)(0,-4)(3,4)
>> \psVolume(0,1){20}{x}
>> \psVolume(1,2){20}{x dup mul}
>> \psline(2,0)(3,0)
>> \end{pspicture}
>>
>> \end{document}
>> _______________________________________________
>> 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
> webpage www.acrotex.net
> www.gilligan-online.de
> ------------------------------------------------------------------------
>
> _______________________________________________
> 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
webpage www.acrotex.net
www.gilligan-online.de
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