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ParametricPlot - a feature or a bug?

  • To: mathgroup at
  • Subject: [mg39447] ParametricPlot - a feature or a bug?
  • From: Vladimir Bondarenko <vvb at>
  • Date: Sun, 16 Feb 2003 06:13:36 -0500 (EST)
  • Reply-to: Vladimir Bondarenko <vvb at>
  • Sender: owner-wri-mathgroup at


While trying to plot complex parametric plots with large values
of the parameter I run into a problem which boils down to the
following simple observation.

a) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 1 Pi}, AspectRatio -> Automatic];

     A perfect circumference.

b) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 200 Pi}, AspectRatio -> Automatic];

     Instead of a circumference, not a very wide annulus.

c) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 500 Pi}, AspectRatio -> Automatic];

     An annulus which width is equal to the radius of the inner

d) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 1000 Pi}, AspectRatio -> Automatic];

     A black ring with tiny white spots.

e) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 10^19 Pi}, AspectRatio -> Automatic];

     A funny net.

f) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 10^20 Pi}, AspectRatio -> Automatic];

     A segment.

g) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 10^26 Pi}, AspectRatio -> Automatic];

     Only the axes are shown. There is no graph itself.

Is (at least a part of the shown output) a feature or a bug?

(By the way, before answering why do not try to solve the same
problems with a couple of other systems? ;-)

Best wishes,

Vladimir Bondarenko
Mathematical and Production Director
Symbolic Testing Group

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