Re: how fill PolarPlot?

*To*: mathgroup at smc.vnet.net*Subject*: [mg84458] Re: [mg84420] how fill PolarPlot?*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Tue, 25 Dec 2007 06:29:42 -0500 (EST)*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst*References*: <200712230934.EAA03990@smc.vnet.net>*Reply-to*: murray at math.umass.edu

Many thanks to all who replied, showing a variety of methods to accomplish what I wanted. Very instructive! Murray Eisenberg wrote: > 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

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