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Re: Filled Polar plots

  • To: mathgroup at smc.vnet.net
  • Subject: [mg85124] Re: [mg85089] Filled Polar plots
  • From: "Julio de la Yncera" <ynceraj at gmail.com>
  • Date: Wed, 30 Jan 2008 05:55:30 -0500 (EST)
  • References: <200801280825.DAA21414@smc.vnet.net>

see example of PolarPlot in the Wolfram demos at
http://demonstrations.wolfram.com/SuperellipseShapes/
that example in particular is about superellipse shapes

Best Regards

On Jan 28, 2008 3:25 AM, Yaroslav Bulatov <yaroslavvb at gmail.com> wrote:

> What is the recommended way of creating filled polar plots? (assuming
> it forms a closed non-intersecting curve)
>
> I'm looking to create something like the image on
> http://en.wikipedia.org/wiki/Superformula,
> but PolarPlot doesn't seem to have Filling options
>
> formula[m_, n1_, n2_, n3_] =
>  Function[{x}, (Cos[(m x)/4]^n2 + Sin[(m x)/4]^n3)^(-1/n1)];
> vals = {{3, 5, 18, 18}, {2, 1, 4, 8}, {3, 3, 14, 2}, {7, 2, 8, 4}};
> Table[PolarPlot[(formula @@ v)[x], {x, -Pi, Pi}, PlotRange -> All,
>   Axes -> None], {v, vals}] // GraphicsColumn
>
>



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