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Incorrect plotting of Lissajous-figures

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  • Subject: [mg25890] Incorrect plotting of Lissajous-figures
  • From: Rene Meyer <rene.meyer at>
  • Date: Tue, 7 Nov 2000 02:56:00 -0500 (EST)
  • Organization: Chemnitz University of Technology
  • Sender: owner-wri-mathgroup at


while using Mathematica 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

Rene Meyer
Student of Physics - Chemnitz University of Technology

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