I had previously discussed this topic in chat but decided to ask the question here on the main page, in order to get a broader perspective, so here goes ... 

Over the past couple of weeks, there's been this really cute girl who sits near me inside a coffee shop, which has a cozy, "productive" vibe to it -- everyone's doing work on their laptops.  I want to start a conversation with this girl, but there's one significant obstacle: she's always wearing her headphones.   

So, my question is: 

**How can I effectively and politely start a conversation with this girl who's sitting next to me and wearing headphones?**  

We've seen each other - and smiled at each other - for a few weeks now.  The vibes feel pretty good, but her wearing the headphones makes it tricky to say "hello" to her.