Why does this girl at the gym avoid eye contact but continues to get near me?

misterfit
Hi all, What do you think it means if a girl avoids eye contact but continues to get near you even if you ignore her? Details: So there's this girl at the gym, she comes in the same exact time I do, everyday. When I first saw her she was with this guy but I noticed that she definitely checked me out several times.

As time went on she was with the same dude so I assumed they were together. Then for a few weeks she started coming by herself. I decided to finally grow some balls and went to talk to her. She was doing an exercise that I was genuinely curious about - it looked crazy. I struck up a conversation, talked for maybe 2 minutes and then I let her go back to her workout. After that I said hi a few times to try to build some friendliness before I went in for a longer conversation.

Well about a week later I went on vacation and then didn't see her for maybe 2 weeks. When I saw her again we locked eyes but she looked away immediately. I tried to get her attention but never really could so I started to do my own thing and ignore her - no big deal.

Well before it seemed like she never would workout near me but all of a sudden now that I'm intentionally avoiding and ignoring her she seems to be working out close to me quite often. Even though there still isn't any eye contact, she looks in my direction a lot and I often see her point her body towards me (i'm using my peripherals) which I know can sometimes be a sign of interest.

I could swear she is literally avoiding eye contact though, which is the weird thing. I felt like I've already went out of my way to try to get her attention again but maybe she's just shy. Or she's just not interested and I'm reading too much into it. Still ignoring her for now but what do you guys think?
Why does this girl at the gym avoid eye contact but continues to get near me?
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