how fill PolarPlot?

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

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

**Follow-Ups**:**Re: how fill PolarPlot?***From:*Murray Eisenberg <murray@math.umass.edu>

**RE: how fill PolarPlot?***From:*"Jaccard Florian" <Florian.Jaccard@he-arc.ch>

**Re: how fill PolarPlot?***From:*Murray Eisenberg <murray@math.umass.edu>

**Re: how fill PolarPlot?***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>