Adding hypotrochoid to hypotrochoid you get other variations:

https://tthtlc.github.io/double_hypotrochoid_explore.html

and this:

and this:

Now start adding epicycloid to simple sine waves projected from polar coordinates to the cartesian coordinates:

https://tthtlc.github.io/petal_add_epicycloid_explore.html

and this:

and this:

and this: