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Re: Incorrect plotting of Lissajous-figures

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25902] Re: Incorrect plotting of Lissajous-figures
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 7 Nov 2000 23:04:53 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <8u8dmk$7dd@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

ParametricPlot[] is *not* adaptive like Plot[].
You must give an appropriate number of PlotPoints and

ParametricPlot[{Cos[500t], Cos[500t + Pi/4]}, {t, 0, 2Pi}, PlotPoints ->
2000]

look as expected. 

Regards
  Jens

Rene Meyer wrote:
> 
> Hello,
> 
> while using Mathematica 4.0.2.0 to plot a Lissajous-figure with
> 
> ParametricPlot[{Cos[500t], Cos[500t + Pi/4]}, {t, 0, 2Pi}]
> 
> I found that with growing coefficients of t the figure (which should
> be a ellipse with an angle of 45 degrees between its longer main axis and
> the x axis) have the effect of filling up the whole ellipse with
> points. Is this an effect of rounding errors or is this a bug in
> mathematica?
> 
> --
> Rene Meyer
> Student of Physics - Chemnitz University of Technology


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