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Re: parametric plot and filling

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  • 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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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.      
> Lederle Graduate Research Tower           
> University of Massachusetts 
> 710 North Pleasant Street  
> Amherst, MA 01003-9305
> 
> 
> 
> 
> 
> 




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