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RE: how fill PolarPlot?

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  • Subject: [mg84438] RE: [mg84420] how fill PolarPlot?
  • From: "Jaccard Florian" <Florian.Jaccard at>
  • Date: Mon, 24 Dec 2007 04:47:24 -0500 (EST)
  • References: <>

Hello Murray,

I would do it like that :

Show[{des = PolarPlot[Cos[2*theta], {theta, 0, 2*Pi}],
     des /. Line[a_] -> {Yellow, Polygon[a]}, des}]

I'm convinced it is a very simple way to fill PolarPlot.
But I agree it would be a good option to add to PolarPlot!

Merry Christmas and a happy new year wishes you
Florian Jaccard

-----Message d'origine-----
De=A0: Murray Eisenberg [mailto:murray at]
Envoy=E9=A0: dimanche, 23. d=E9cembre 2007 10:35
=C0=A0: mathgroup at
Objet=A0: [mg84420] how fill PolarPlot?

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, =
       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
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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