ParametricPlot - a feature or a bug?

• To: mathgroup at smc.vnet.net
• Subject: [mg39447] ParametricPlot - a feature or a bug?
• From: Vladimir Bondarenko <vvb at mail.strace.net>
• Date: Sun, 16 Feb 2003 06:13:36 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```Hello,

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
circumference.

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,

Mathematical and Production Director
Symbolic Testing Group

Web  :  No other my site is permitted to me to quote here

Email:  vvb at mail.strace.net
Voice:  (380)-652-447325 Mon-Fri 6 a.m. - 3 p.m. GMT
ICQ  :  173050619
Mail :  76 Zalesskaya Str, Simferopol, Crimea, Ukraine

```

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