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Re: how fill PolarPlot?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84427] Re: how fill PolarPlot?
  • From: "Steve Luttrell" <steve at _removemefirst_luttrell.org.uk>
  • Date: Mon, 24 Dec 2007 04:41:36 -0500 (EST)
  • References: <fkla2t$3sh$1@smc.vnet.net>

If you reformulate your problem as Abs[Cos[\[Theta]]^2-Sin[\[Theta]]^2] > 
r^2 then this does what you want:

RegionPlot[Abs[(x^2-y^2)/(x^2+y^2)]>Sqrt[x^2+y^2],{x,-1,1},{y,-1,1}]

Stephen Luttrell
West Malvern, UK

"Murray Eisenberg" <murray at math.umass.edu> wrote in message 
news:fkla2t$3sh$1 at smc.vnet.net...
>I Mathematica 6 I have a PolarPlot, e.g., a 4-leaved rose:
>
>   PolarPlot[Cos[2 theta], {theta, 0, 2 Pi}]
>
> How can I fill the inside -- or, what I really want, just the leaf in
> the right half-plane -- with some color?
>
> I note that Filling does not seem to be an option for PolarPlot (or for
> what would be almost as good, ParametricPlot).
>
> I tried including the following (obtained by converting from :
>
>   Prolog->RegionPlot[(x^2 + y^2)^(3/2) <= x^2-y^2, {x,-0.02,1},{y,-1,1},
>       Frame->False, AspectRatio->Automatic]
>
> However, that led to a mysterious error message:
>
>   $Aborted is not a Graphics primitive or directive.
>
> (Perhaps because of an incompatibility of a Prolog with cartesian
> coordinates inside a polar coordinate plot??)
>
> -- 
> Murray Eisenberg                     murray at math.umass.edu
> Mathematics & Statistics Dept.
> Lederle Graduate Research Tower      phone 413 549-1020 (H)
> University of Massachusetts                413 545-2859 (W)
> 710 North Pleasant Street            fax   413 545-1801
> Amherst, MA 01003-9305
> 



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