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Maybe a simple "Hi, I constantly see you on this bus, My name is... make a short but light hearted conversation.
Make sure your smiling and just trying to be sociable. After all, if you see her everyday, then is considered NORMAL after you introduce your self to continue talking to her.
It's better to approach then do nothing at all. If your really shy then simply strike up a conversation, throw a few negs in there, make her laugh.
My advice: break the ice and use it as an excuse to talk to her whenever you feel because after your break the ice she won't see it as an approach anymore, just somebody she knows chatting with her. Then maybe you can number close her and set up a hangout/date.
If you're scared do what he says, even if you don't get results then and there you will be able to talk to her whenever "Sunny day today, right?" etc. After about 20-25 minutes of talking over one journey or many you will have built enough rapport to number close (Just like Style's rule, it takes 8 hours to build enough rapport to have sex over a night, four weekends). I have had a similar experience and then next time that I see my 'bus girl' I'm going to number close.
As with all time limits you can use it to your advantage, when you are having an interesting conversation say;
"(Excuse/ apology) I am getting off soon, give me your number and I will call you sometime."
Don't ask, command and hand your phone over as if she has already agreed. Never promise to call at a specific time, say that you will call sometime or whenever so she feels like she has to work for your interest.
Hope it goes well, I will also post my bus number close when I see the girl again.
Luck,
Sherlock