Something less interesting is testing what the polar plot looks like if you plot the angle in degrees instead of radians. Or, like in this plot, where I defined 10 degrees as exactly one complete turn around the circle:
https://i.ibb.co/59k5dRT/polarplot.png
Slightly more interesting is what the primes look like when one complete turn is defined as 1, 2, 3... 30 units: