I'm working on a sequence diagram for a layered system that has a tree hierarchy. Now I have a process that works itself recursively down the tree. Meaning calling the same function on a child object.

I'm talking about a tree like this:

    -layer n
       -layer n-1
           -layer n-2
               -...
           -layer n-2
               -...
       -layer n-1
           -layer n-2
               -...
           -layer n-2
               -...

Its easy to visualize a recursive process in the single object, but I could figure out how I would visualize recursive process that recursively calls itself on a lower layer object and so on. Is this even possible with an UML sequence diagram?