I am going to be perfectly honest here...I couldn't disagree more. Do women like to be compliemented? Yes. Should we use that as an opener? Hell No. I did notice that you mentioned complimenting something that was at least other than her over all beauty. This is always a step in the right direction, but I do disagree.
The problems I see with this theory are many but also can be broken down into one simple statement. By doing this, you do what every woman expects to hear; and what every other man in the world says to her on a daily basis. We are talking about a hb 9 or so I am assuming...I mean we are PUA's here (well supposed to be) - meaning there is no reason to be picking up any other type...when approaching a HB, she will be expecting the same old routine (she gets it, she's beautiful) regardless of how meaningful you make it. This is one of the reasons why you never compliment a girl on her beauty or style, you compliment an inattimate object like her shoes. This is why we neg them (your nose wiggles when you laugh), to make them realize we don't find them that attractive. Look, the best way I can explain this is as follows....I call this the Pitch Freeze Out...whenever I am somewhere and there is a set I want to approach, I ALWAYS pick up the fat/ugly/less attractive one in the set first. ALWAYS. This will keep the ugly one from thinking she's a third wheel in a set and becoming a CB, actually, she'll fight to keep you around because she's not used to attention. At the same time, the HB who is always used to guys approaching, will wonder why you are the only man in the room who hasn't offered to buy her a drink while complimenting her on her beauty and ignoring the fat one. It will drive her crazy to the point where she will start trying to get your attention. Whenever the HB in this situation tries to get my attention, I usually throw a couple negs at her before I begin to transition over to the HB. This will not only confuse/upset her even more but it will make the less attractive one more acceptable to the idea of you and the HB spending some time alone in a few minutes. Remember, the idea here is to be unpredictable. You must keep girls on their toes, keep them confused, while at the same time letting them think they have a little control over the situation. The minute a girl thinks she has you figured out she's bored. This is why we run routines; this is why we do freeze outs; this is why we do neg hits. All of these theories are proven ways to do one thing, throw her off her balance...then we add value, and so on. The only way to get rid of a woman's first thought in her head "who is this guy, what does he want, how long until he goes away" is to be NOT like every other AFC.
Pitch