Re: parametric plot and filling

*To*: mathgroup at smc.vnet.net*Subject*: [mg131545] Re: parametric plot and filling*From*: Murray Eisenberg <murray at math.umass.edu>*Date*: Fri, 23 Aug 2013 05:31:34 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net*References*: <20130820113651.16A216A17@smc.vnet.net> <20130822045123.4269D6A0C@smc.vnet.net> <7334302B-45FD-478D-91FD-56DF876D6311@mit.edu>

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 at 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 at 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 at math.umass.edu >> Mathematics & Statistics Dept. >> Lederle Graduate Research Tower >> University of Massachusetts >> 710 North Pleasant Street >> Amherst, MA 01003-9305 >> >> >> >> >> >> --- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower University of Massachusetts 710 North Pleasant Street Amherst, MA 01003-9305

**References**:**parametric plot and filling***From:*Francisco Gutierrez <fgutiers2002@yahoo.com>

**Re: parametric plot and filling***From:*Murray Eisenberg <murray@math.umass.edu>