What do you do when someone unattractive keeps giving you glances?

I'm only asking this because there is this exceptionally attractive woman that I feel such a strong desire to look at or even be around. Staring is not what I'm talking about, but short glances that are frequent enough that she couldn't possibly have missed my interest in her.

At first I thought she might be interested but since she works at the gym where I see her it might be she's just being nice to everybody there.

Lately I've gotten the impression that she might be a bit bothered by my glances. So my question is; what would you do if you were in her situation? Assuming she/you don't find me attractive enough to be of interest.

When I've been in this situation myself, i.e. when a girl keeps glancing my way, I've usually just ignored the girl by looking as little as possible in her direction. Is this what girls (and other men) usually do too?
What do you do when someone unattractive keeps giving you glances?
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