Some global properties and constructions for closed curves in the plane

This is an extended comment on the paper [1] by W. Cielak and W. Mozgawa. It is shown that several theorems presented there for rosettes can be extended to a larger class of closed curves by using different methods of proof. Furthermore, the notion of rosettes of constant width is discussed in more detail and some classical constructions for convex curves of constant width are generalized to this class of curves.