Can you have a 3.55-leafed rose?

Back when I was in the classroom, as a student and a teacher, I was never satisfied with the explanations why y=cos(nθ) has "n" leaves when n is odd, but "2n" leaves when n is even. I wish I had GeoGebra back then.
This even helped me internalize how a polar graph relates to a Cartesian graph, helping me picture the x-axis collapsed down to a single point.

At any rate, a school where nobody is working with GeoGebra is a school missing out on a huge resource.

This file can be found here.

  ;;