Polar plot of a sine function with factor in argument

The sine function is a well known periodic function. Choose an argument factor, which doesn’t divide the period well, and you can see a complicated path around the origin.

This plot was originally made for my blog post on TikZ.de: http://tikz.de/periodisch/

See also the other polar sine plot examples there.

Polar plot of a sine function

Edit and compile if you like:
      domain  = -14400:14400,
      samples = 3000,
      hide axis
    \addplot[no markers, mesh, opacity=0.5] {1-sin(40*x/39};
Click to download: sine-plot.texsine-plot.pdf