After you swap a few ornaments, you can put them together to make this:
If you have lots of people swapping, you could make this:
That must have been a fun swap! I might play around with it and see if I can make a fun little wall hanging. I think it would be fun to add my families names and birthdate's in the signature line. Then it would be a family heirloom that can have names added for the new members.