I really am not attracted to anyone or anything besides human nature's natural tendency to want what they can't have.
In which case, someone who was exactly like me would not fasinate me. I would eventually figure them out and then I would have to move on. I like differences, it's the only thing that keeps me sane. If we all thought the same it would be a one sided world. If I chose a partner, I'd never chose one that thought identical to mine. It's suicide.
Mmmm I want someone a bit wiser than even I am, or not wiser than me but with better reasoning in different things like math that opens a fresh point of view for me.