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MathGroup Archive 2004

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Re: FilledPlot with Implicit Functions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45802] Re: FilledPlot with Implicit Functions?
  • From: bobhanlon at aol.com (Bob Hanlon)
  • Date: Mon, 26 Jan 2004 01:53:08 -0500 (EST)
  • References: <buvvup$jaq$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Needs["Graphics`"];

InequalityPlot[1<x^2+y^2<2, 
    {x,-3,3},{y,-3,3},
    Fills->{SkyBlueDeep}];

DisplayTogether[
    FilledPlot[
      {Sqrt[2-x^2],-Sqrt[2-x^2]}, 
      {x,-Sqrt[2],Sqrt[2]},
      Fills->SkyBlueDeep],
    FilledPlot[
      {Sqrt[1-x^2],-Sqrt[1-x^2]}, 
      {x,-1,1}, Fills->White], 
    AspectRatio->1];

FilledPlot[{Sqrt[2-x^2],-Sqrt[2-x^2],
      Sqrt[1-x^2]*UnitStep[1-Abs[x]],
      -Sqrt[1-x^2]*UnitStep[1-Abs[x]]},
    {x,-Sqrt[2],Sqrt[2]}, AspectRatio->1,
    Fills->{White,SkyBlueDeep, SkyBlueDeep,White}, 
    PlotRange->All];

Show[Graphics[{
        SkyBlueDeep,Disk[{0, 0}, Sqrt[2]],
        White,Disk[{0, 0}, 1], 
        Black, Circle[{0, 0}, Sqrt[2]],
        Circle[{0, 0}, 1]}],
    AspectRatio->1,
    Axes->True, AxesFront->True];


Bob Hanlon

In article <buvvup$jaq$1 at smc.vnet.net>, "e.t." <e-t at gmx.li> wrote:

<< how can fill the range between the to circles? FilledPlot will not work 
with implicit functions.
thx,
Oliver

Needs["Graphics`ImplicitPlot`"];
f1 := x^2 + y^2 == 2;
f2 := x^2 + y^2 == 1;
ImplicitPlot[{f1, f2}, {x, -3, 3},
      AxesLabel -> {"x", "y"},
      PlotStyle -> {{}, Dashing[{0.02}]}];


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