Re: Re: how fill PolarPlot?
- To: mathgroup at smc.vnet.net
- Subject: [mg84449] Re: [mg84444] Re: [mg84420] how fill PolarPlot?
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Tue, 25 Dec 2007 06:24:49 -0500 (EST)
- References: <200712230934.EAA03990@smc.vnet.net> <67371FD7-F63D-4CB0-9D5C-7017815C5BD7@mimuw.edu.pl> <200712240950.EAA06431@smc.vnet.net>
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
>
- References:
- how fill PolarPlot?
- From: Murray Eisenberg <murray@math.umass.edu>
- Re: how fill PolarPlot?
- From: Murray Eisenberg <murray@math.umass.edu>
- how fill PolarPlot?