Re: parametric plot and filling

• To: mathgroup at smc.vnet.net
• Subject: [mg131544] Re: parametric plot and filling
• From: W Craig Carter <ccarter at MIT.EDU>
• Date: Fri, 23 Aug 2013 05:31:14 -0400 (EDT)
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• Delivered-to: l-mathgroup@wolfram.com
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• References: <20130820113651.16A216A17@smc.vnet.net> <20130822045123.4269D6A0C@smc.vnet.net>

```Here is another way to get filling:

OrbitOrbit[ r_, t_, n_] :=  { r Cos[n t ] + Cos[t], r  Sin[n t] + Sin[t]}

ParametricPlot[OrbitOrbit[r, t, 6], {t, -Pi, Pi}, {r, .25, .9},
PlotStyle -> {Thick, Red}, Mesh -> False, PlotPoints -> 36,
ColorFunction -> (Hue[#3, 1, 1, 0.25] &)]

W Craig Carter
Professor of Materials Science, MIT

On Aug 22, 13, at 0:51 AM, Murray Eisenberg wrote:

> Right, Filling is not a permissible option to ParametricPlot.
>
> But suppose Wolfram wanted to make it an option. What, exactly, do you
> propose it should do. For example, in what way would you expect a
> Filling option to work with each of the following?
>
>  ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 2 Pi}]
>  ParametricPlot[{s, t}, {s, -2, 2}, {t, 1, 3}]
>  ParametricPlot[{t, 2}, {x, -5, 5}]
>  ParametricPlot[{t Sin[t], t Cos[t]}, {t, 0, 6 Pi}]
>
>
> On Aug 20, 2013, at 7:36 AM, Francisco Gutierrez
> <fgutiers2002 at yahoo.com> wrote:
>
>>
>> DoesParametricPlot admit the Filling option? Seems it not? How then to
> perform it?
>> Lokk at the following simple example:
>>
>> ParametricPlot[{{2 t,-t^2},{6+ 2 t,-t^2}},
> {t,-2,2},Axes->{True,False}, Ticks->None,
> PlotStyle->{{Thick,Cyan},{Thick,Green}}]
>>
>> The if I introduce the Filling command inside PlotStyle nothing
> happens, and outside it produces an error. Any ideas?
>> francisco
>
> ---
> Murray Eisenberg
> murray at math.umass.edu
> Mathematics & Statistics Dept.
> University of Massachusetts
> 710 North Pleasant Street
> Amherst, MA 01003-9305
>
>
>
>
>
>

```

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