The attraction was clearly mutual. Why this guy kept staring at me for several days without approaching?

I was on vacation and for several days met this guy at our hotel pool. All day he kept looking at me, sometimes the eye contact lasted for more than 5 seconds ant was intense. He always positioned himself so he could be able to see me clearly. Also as he passed by, he made very strong eye contact. It got to the point where my friend was even asking me what is the problem with him :D So the question is why was he doing that for so long and didn't aproach me. I was attracted to him

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Should i follow him on instagram or i will look like a creep?
The attraction was clearly mutual. Why this guy kept staring at me for several days without approaching?
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