You'll be fascinated by this person, even though you probably won't find them to be much like your other friends. As a result, you may feel a strong connection before you actually know them. As time goes on, you might start scrutinizing your friendship, trying to figure out why you just don't seem to get along that well.
You'll want to figure out the problem and solve it, but that could be easier said than done. You might respond to the disconnect between you by trying to control or manipulate each other into being the kind of pal that you really want. Your friend, especially, will try hard to exert their will over you and get everything they're looking for in a friend. Getting things on a more even keel between you will involve adjusting your expectations, rather than demanding that those expectations be met.