Is it normal for me to be both anxious and depressed over my looks?

I don't think I'm attractive or good looking. I get both depressed and anxious because of my looks. Sometimes, so depressed I don't leave my room, don't eat, don't wash. Nothing. Just talk to myself, and write down negative thoughts. All I have... are negative thoughts. Then, however, other days I'm in a state of anxiety, I get scared to go outside, go anywhere, or talk to anyone because I am fixated on how bad my looks are and thinking of what they're saying to themselves. Normality? Where art thou?