<human>: Can you provide a brief rundown of the text in within 3 sentences?

I'm 20M and for the second time in a year, I started liking this girl I got to school with again.

Back story: Kind of dated this girl for a couple of months summer of 09. Things got shitty fast (out of our control, because of other circumstances) so we had to stop seeing each other.

Not a big fan of this, so I just give her the cold shoulder for a few months. When we finally start talking again, I start to like her once more.

Let it go for a month or so, bring it up and I'm given the whole "you're a great friend" speech.

Fast forward another year, and basically all of the same things happen again. Give her the cold shoulder. Start talking to her again, start to like her.

Earlier today, I talk to her about it. And (not all that surprisingly) she tells me she just wants to be friends again. Which I'm alright with. I just couldn't deal with not putting it out there again considering she's without a doubt the most amazing girl I have ever met. I'm happy with being friends, but I know that there's a real connection that I have with her that I just can't get with other girls.

Her reasoning behind it was that she wasn't sexually attracted to me anymore. But if she was, she would date me.

And to get towards my question:
I love everything about this girl. I love being friends with her. I'm alright with that if she doesn't want a relationship. But I just can't help but continue to have feelings for her.
So, reddit... what should I do?
I want to keep being friends with her.
But a lot of people seem to think that I should go back to not talking to her. 
Secondary question:
Should I be friends and sit around and hope that she comes around/I find myself in a situation where it might work out?
<bot>: I love this girl that continually puts me in the friend zone even after she tells me how much she likes nearly everything about me.