RE: how fill PolarPlot?

*To*: mathgroup at smc.vnet.net*Subject*: [mg84438] RE: [mg84420] how fill PolarPlot?*From*: "Jaccard Florian" <Florian.Jaccard at he-arc.ch>*Date*: Mon, 24 Dec 2007 04:47:24 -0500 (EST)*References*: <200712230934.EAA03990@smc.vnet.net>

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 math.umass.edu] Envoy=E9=A0: dimanche, 23. d=E9cembre 2007 10:35 =C0=A0: mathgroup at smc.vnet.net 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, = {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>