Relationship advice needed...

Okay, I’ve never used this forum section before and sorry for using anonymous, but here goes.

I became good friends with a girl from college towards the end of our a-levels (sods law I know!) Well during the summer past we became closer and finally started seeing each other after a-level results came out. This probably wasn't the best idea since we were both heading off to separate unis, but somehow it still worked out and everything was going well up until New Year. She came and visited me a few times, we saw each other when home the odd weekend and spoke to each other almost everyday.
Then just after New Year, out of nowhere as far as I was concerned, she decided to call things off. This was really hard for me as I really did care for her and she meant allot to me. She said she wanted us to stay friends and as I didn't want to lose her all together I agreed.
It’s now been 3 months since we split up and she recently told me that she is now seeing someone else, and not just anyone else, this person USED to be a good friend. Well despite this she still claims that she doesn't want to lose our friendship. So I thought okay, I know its going to take a lot of getting used to but I will try to get over her and save our friendship. The thing is, although she says she wants to keep our friendship she does nothing to show it. I mean, since we broke up I have saw her all of once and that was for all of 2 hours, and any contact between us I have had to initiate. What’s going on there?
I finally decided that I could take no more and told her that although I care about her I think its best that we cut all contact. But then she comes back again saying she still wants to be friends, and how I’m ‘a good friend to her’. She was in the middle of telling me this on Tuesday night and then had to go and said ‘we need to finish this off’. To date she has made no further contact…
I really don’t know what to do. I felt I had gained closure after telling her I wanted no more contact between us but now she has left me in limbo again. To be honest I feel like a fool myself, despite how much she has hurt me, for some reason I still want to be friends with her. Is there something wrong with me?
I would be grateful of any advice.

Thanks