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Re: Re: how fill PolarPlot?


Well, I misunderstood you, but it is trivial to fix this:

s = PolarPlot[Cos[2 theta], {theta, 0, 2 Pi}];
s1 = PolarPlot[Cos[2 theta], {theta, -Pi/4, Pi/4}] /. Line -> Polygon;
Show[s, s1]

Andrzej Kozlowski


On 24 Dec 2007, at 18:50, Murray Eisenberg wrote:

> That does not show the entire four-leaved rose together with a shaded
> leaf in the right half-plane.
>
> What I'm seeing is a shaded leaf in the right half-plane along with
> shaded pieces of the top and bottom leaves that stick into the right
> half-plane and are within the top and bottom boundaries of the
> right-hand leaf.
>
> Andrzej Kozlowski wrote:
>>
>> On 23 Dec 2007, at 18:34, 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
>>>
>>
>>
>> How about simply:
>>
>>
>> s1 = PolarPlot[Cos[2 theta], {theta, -Pi/4, Pi/4}] /. Line ->  
>> Polygon;
>> s2 = PolarPlot[Cos[2 theta], {theta, Pi/2, Pi/2 + Pi/4}] /. Line ->
>> Polygon;
>> s3 = PolarPlot[Cos[2 theta], {theta, 3 Pi/2 - Pi/4, 3 Pi/2}] /.Line  
>> ->
>> Polygon;
>>
>> Show[ss, s1, s2, s3]
>>
>>
>> Andrzej Kozlowski
>>
>
> -- 
> 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
>



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