Question

What happens to a rose curve if `n=r/s` is an irrational number?

Answer 1

There are an infinite number of petals.

Explanation:

If `n` is odd, the rose curve has `n` petals.
If `n` is even, the rose curve has `2n` petals.

For rational `n`-values, the curve closes at an angle of `theta=pisp`.
If `rs` is odd, `p=1`.
If `rs` is even, `p=2`.

For irrational `n`-values, there are an infinite number of petals.

(Source)