Is this creepy of me.....?

I miss cuddling with someone so much. I have had literally no physical contact with anyone in almost four years. I miss being in someone's arms. I feel like a freak sometimes because of it, and generally resort to snuggling' with pillows and blankets. Is it normal to miss that kind of intimacy? All I want is for someone to hold me. I feel weird about it. But I'm just so lonely it hurts. I hate to admit to myself that I want someone else. I like to think I'm independent (which, on all accounts, I actually am...) It's just, well, I miss having a living breathing, intelligent human being to spend my time, and share myself with. It sounds so stupid, really, I know. But I don't know what to do because I'm ugly.