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how fill PolarPlot?

  • To: mathgroup at
  • Subject: [mg84420] how fill PolarPlot?
  • From: Murray Eisenberg <murray at>
  • Date: Sun, 23 Dec 2007 04:34:30 -0500 (EST)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • Reply-to: murray at

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
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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