
Re: parametric plot and filling
Posted:
Aug 23, 2013 4:56 AM


Hello MurrayI agree. But, a perhaps a trick might be in finding a parameterization that does the particular filling that the user has in mind? My first guess is that one would want ParametricPlot only to be able to fill when two curves are available, and then fill according to the positions corresponding to the same parameters.
(*My students always like this example... If you try a Manipulate on this exampleit gives puzzling results that I haven't tracked down yet; but are probably associated with the fast rendering not getting updated in the manipulate when a Mesh is rendered. *)
Cheers, Craig
W Craig Carter Professor of Materials Science, MIT
On Aug 22, 13, at 11:10 AM, Murray Eisenberg wrote:
> Nice! But that doesn't answer my question as to what, _in general_ an option of Filling should do with arbitrary ParametricPlot output. > > On Aug 22, 2013, at 10:32 AM, W Craig Carter <ccarter@mit.edu> wrote: > >> Here is another way to get filling: >> >> OrbitOrbit[ r_, t_, n_] := { r Cos[n t ] + Cos[t], r Sin[n t] + Sin[t]} >> >> ParametricPlot[OrbitOrbit[r, t, 6], {t, Pi, Pi}, {r, .25, .9}, >> PlotStyle > {Thick, Red}, Mesh > False, PlotPoints > 36, >> ColorFunction > (Hue[#3, 1, 1, 0.25] &)] >> >> >> >> W Craig Carter >> Professor of Materials Science, MIT >> >> >> >> On Aug 22, 13, at 0:51 AM, Murray Eisenberg wrote: >> >>> Right, Filling is not a permissible option to ParametricPlot. >>> >>> But suppose Wolfram wanted to make it an option. What, exactly, do you >>> propose it should do. For example, in what way would you expect a >>> Filling option to work with each of the following? >>> >>> ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 2 Pi}] >>> ParametricPlot[{s, t}, {s, 2, 2}, {t, 1, 3}] >>> ParametricPlot[{t, 2}, {x, 5, 5}] >>> ParametricPlot[{t Sin[t], t Cos[t]}, {t, 0, 6 Pi}] >>> >>> >>> On Aug 20, 2013, at 7:36 AM, Francisco Gutierrez >>> <fgutiers2002@yahoo.com> wrote: >>> >>>> >>>> DoesParametricPlot admit the Filling option? Seems it not? How then to >>> perform it? >>>> Lokk at the following simple example: >>>> >>>> ParametricPlot[{{2 t,t^2},{6+ 2 t,t^2}}, >>> {t,2,2},Axes>{True,False}, Ticks>None, >>> PlotStyle>{{Thick,Cyan},{Thick,Green}}] >>>> >>>> The if I introduce the Filling command inside PlotStyle nothing >>> happens, and outside it produces an error. Any ideas? >>>> francisco >>> >>>  >>> Murray Eisenberg >>> murray@math.umass.edu >>> Mathematics & Statistics Dept. >>> Lederle Graduate Research Tower >>> University of Massachusetts >>> 710 North Pleasant Street >>> Amherst, MA 010039305 >>> >>> >>> >>> >>> >>> > >  > Murray Eisenberg murray@math.umass.edu > Mathematics & Statistics Dept. > Lederle Graduate Research Tower > University of Massachusetts > 710 North Pleasant Street > Amherst, MA 010039305 > > > > >

