This is a torch 1948 Olympic relay torch. I'm stuck on the part where the olimplc rings are cut in the side of the torch. I have the overall shape of the torch, just not the rings on the side of the torch.
I'm modeling this for 3D printing.

I need help to make the cuts and place the rings exactly on the curve of the torch. They have to keep the overall shape of the rings, but match the torch.

I'm looking for a clear and quick solution. I can give you my blender file if that helps, and as many references as you need.