Re: how fill PolarPlot?

*To*: mathgroup at smc.vnet.net*Subject*: [mg84439] Re: [mg84420] how fill PolarPlot?*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Mon, 24 Dec 2007 04:47:56 -0500 (EST)*Reply-to*: hanlonr at cox.net

Show[{ RegionPlot[(x^2 + y^2)^(1/2) <= Cos[2 ArcTan[y/x]], {x, 0, 1}, {y, -1/2, 1/2}], PolarPlot[Cos[2 theta], {theta, 0, 2 Pi}, PlotStyle -> Red]}, PlotRange -> All] Show[{ RegionPlot[(x^2 + y^2)^(3/2) <= x^2 - y^2, {x, 0, 1}, {y, -1/2, 1/2}], PolarPlot[Cos[2 theta], {theta, 0, 2 Pi}, PlotStyle -> Red]}, PlotRange -> All] Bob Hanlon ---- Murray Eisenberg <murray at math.umass.edu> 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 >