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she made eye contact and I kept my eye contact. she broke eye contact and started looking for something in her purse. she took at item from her purse, maybe her phone, I dont know. then she looked at me and noticed I am still looking at her. using my finger, I pointed at her and then pointed at the seat next to me. I did it twice. yeah creepy I am already aware of that. then she looked at that item (her phone?) again
Given the fact that she later came to talk to you, she was likely trying to gather up the courage to do so.
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I thought she is not interested and started working on my laptop.
I see you making this mistake so many times. You always reject yourself before women get a chance to actually reject you. Stahp. Persist past token resistance (which I'm sure you've never done before) until you either close or get rejected FOR REALZ.
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Then she got up and came to me. I said "come sit here" she said "actually, I have a lot of work to do."
Oh, cool. She got up to talk to you so she's obviously interested in you and she's just explaining a logistical issue that's in the way of you two having sex right there and then, meaning that she obviously wants you to offer some sort of solution to this logistical issue by perhaps getting her number so that the two of you can arrange to meet at a more convenient time.
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so at this point I am thinking she is not interested.
WAIT WHAT? WHY? WAT
Dude I seriously don't understand you. Why the hell would you think a girl isn't interested in you when she clearly is?
OK, I lied. I actually do understand. BUT STAHP
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but then she said "I am Lisa" and extended her hand for me to shake it. I shook hand and said "you dont wanna sit next to me?"
As another poster here commented already, you should have reciprocated the introduction because that's what normal human beings do. Practice more basic socialization stuff. Meet tons of people. Socialize as much as possible, immerse yourself into the culture of people, and soak all that shit in. If you suspect that a special condition such as Aspergers or Autism might be preventing you from understanding socially necessary things like empathy and reciprocity, seek professional diagnoses and assistance.
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she said "not today, I have a lot of work to do".
When she said "not today," she was strongly hinting that there could be another day when the two of you could get to know each other better. And she was clearly still interested in you at this point since she was still talking to you. So that's when you went for at least a number close, right?
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I said "your hair is perfect"
What the hell? Where did this come from? Open your damn ears and listen to what women are telling you. She wanted to comply to your compliance tests but was explaining a simple logistical obstacle that she wanted you to address. Why wouldn't you address it? And why would you say something so completely irrelevant to what she was trying to communicate? There's a time and place for non-sequiturs but that definitely wasn't it.
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and she said thanks and went back to her seat.
She eventually gave up because you made her try and fail to communicate something important to you too many times. She realized that you might be socially retarded or at least very inexperienced with women/people.
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Just so I can understand female psychology more, what is going on here? can you break it down? what was she thinking?
This is definitely not about female psychology. It's about basic subcommunication and your failure to read people in general.
So, just do these two things and you'll do a million times better:
1. Stop mentally rejecting yourself for women. Persist past token resistance. I'm sure you've been here long enough to at least know what token resistance means.
2. Socialize as much as you fucking can in order to adopt better social senses.