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Topic: parametric plot and filling
Replies: 9   Last Post: Aug 23, 2013 4:56 AM

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Murray Eisenberg

Posts: 2,097
Registered: 12/6/04
Re: parametric plot and filling
Posted: Aug 23, 2013 3:50 AM
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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@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@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@math.umass.edu
>> Mathematics & Statistics Dept.
>> Lederle Graduate Research Tower
>> University of Massachusetts
>> 710 North Pleasant Street
>> Amherst, MA 01003-9305
>>
>>
>>
>>
>>
>>


---
Murray Eisenberg
murray@math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower
University of Massachusetts
710 North Pleasant Street
Amherst, MA 01003-9305









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