Girls, we look at each other from a distance, maintain eye contact, yet looks away or walks away when nearby, short answers, etc. confused?

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so there's this girl who looks at me from a distance. actually, we look at each other from a distance, but maintain eye contact. you know, the oogle each other, lock eyes type. not too far away though. it's been going on for quite some time. as soon as we do it, we just look at each other and i feel like as if everyone else in the room disappears and everything has gone quite, and it's just the two of us. yet, when i'm near her, and either her mom says hi to me or i say hi to her mom, she quick turns around and walks off, which she has done quite a few times now. when i try to start a conversation, i get nervous one or few words answers to my questions. i have caught her looking at me from very close, and she'd dart her eyes somewhere else really fast. i also caught her doe eyed when i noticed she was looking, turned to the sink to put dishes in, looked to see if she was still looking by looking at the reflection in the window and she still didn't take her eyes off me (we were at a friend's house, working on a school project right before the end of the year). anyway, she either won't make eye contact when really close, or when really close, she does, and we look each other in the eyes, but not for long. THEN, i talked to her one day and she was physically really close to me, and just stared into my eyes as if she was just ignoring what i was saying. i know, you're going to just say "just ask her out" or something along those lines. but her actions are just really confusing. i was talking to her dad one day and she was looking at us, quickly walked away. she did it again the next day, hiding her face and hurridly walked away from me as if she was disgusted. nothing bad was said in the conversation with her dad. i'm just so confused and don't want to mess anything up. girls, what's your take?
Updates:
+1 y
oh um, school as in college! also, a few times from a distance we just looked at each other and she had this sad face too. yet whenever i try to start a conversation, she doesn't act interested, sometimes she's nearby she'll start to act upset.
Girls, we look at each other from a distance, maintain eye contact, yet looks away or walks away when nearby, short answers, etc. confused?
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