[mg85130] Re: Filled Polar plots

[Helen Read <hpr at together.net>]

Yaroslav Bulatov 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

One way is to use ParametricPlot with two parameters.

f[t_] = Cos[4 t];
ParametricPlot[{r f[t] Cos[t], r f[t] Sin[t]}, {t, 0, 2 \[Pi]},
{r, 0,2}, Axes -> False, Frame -> False, PlotPoints -> 50]

Or without the Mesh:

f[t_] = Cos[4 t];
ParametricPlot[{r f[t] Cos[t], r f[t] Sin[t]}, {t, 0, 2 \[Pi]},
{r, 0,2}, Axes -> False, Frame -> False, PlotPoints -> 50, Mesh -> False]

I'm not quite sure how to get rid of the little line segment along the 
positive x-axis, though.

-- 
Helen Read
University of Vermont