Context: In Islam people must be identified by their paternal lineage, meaning one’s patronym/last name/however their culture identifies paternal ancestry must tie to their father. This is because the Quran says “call them by the names of their fathers” (Quran 33:5), and while the verse was talking about adoption the principle is unanimously interpreted to apply in general.
My wife and I both have our original names, but we’re seriously considering combining into a new name. We’ve got one picked out, and it would certainly be unique.