[mg85123] Re: Filled Polar plots

[sashap <pavlyk at gmail.com>]

On Jan 28, 2:25 am, Yaroslav Bulatov <yarosla... 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 onhttp://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

Please see:

http://demonstrations.wolfram.com/SuperellipseShapes/

Cheers,
Oleksandr