Re: parametric plot and filling

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• Subject: [mg131545] Re: parametric plot and filling
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Fri, 23 Aug 2013 05:31:34 -0400 (EDT)
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• References: <20130820113651.16A216A17@smc.vnet.net> <20130822045123.4269D6A0C@smc.vnet.net> <7334302B-45FD-478D-91FD-56DF876D6311@mit.edu>

```Nice! But that doesn't answer my question as to what, _in general_ an option of Filling should do with arbitrary ParametricPlot output.

On Aug 22, 2013, at 10:32 AM, W Craig Carter <ccarter at mit.edu> wrote:

> 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
>>
>>
>>
>>
>>
>>

---
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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