I really love this girl but I am really really shy.?

I really love a girl in my class, and she is really beautiful. I love her electric blue eyes, her hair and everything. She is a really nice and kind girl, too. But I can't even talk to her. I haven't even told my best friend that I love her, I am that shy. When I talk to my best friend about just a normal thing about her, I become shy even when I say her name. Last week, she and her friend came to me and told me if I was interested in playing saxophone, I could join the school band. Sorry for the rudeness, but I nearly **** my pants ! I stood up from the chair which I was sitting on like a space shuttle taking off and I couldn't say a word to her. I said something like "Do I have time to think ?" . She said yes and she and her friend went away smiling. I went completely red after I thought what I have done. I had thought of some nice things for her, like making small origami animals, asking her which animal she likes and giving her that animal's origami. But I couldn't even approach her to ask that. Every morning before she enters the classroom, everything is fine. When she just steps in, I act like a drunkard. Sometimes I look into her eyes and I get lost. The background goes white and everyting except the girl starts to melt. I have really strong feelings to her since the school had started and I haven't even become friends with her. We're like two strangers, we talk very rarely and believe me, being this shy isn't very helpful :( .