Uneven Layers

A: What you're describing sounds like you want an asymmetrical layered cut or what some stylists might call "disconnected layers." This style creates intentional variation in length throughout your hair, giving you a lived-in look where some sections are noticeably longer than others.
Consider bringing reference photos to your appointment, even if they're not perfect matches for what you want. Screenshots from Instagram or even photos of celebrities with similar cuts can help bridge the communication gap. You can point to specific elements you like and explain what you'd want modified for your own hair.
Here's the thing about hairstyle names: they're inconsistent. What one salon calls "shag layers" another might call "textured layers" or "piece-y layers." The same name can mean completely different things depending on where you go, and trends constantly evolve the terminology. That's why focusing on clear descriptions rather than specific style names will serve you much better.
When talking to your stylist, use descriptive terms like "disconnected," "asymmetrical," "varied lengths," or "intentionally uneven." Learn some basic haircutting vocabulary too. "Layers" refers to hair cut at different lengths to create movement and volume. "Blunt cut" means straight across with no layering. "Textured" typically means the ends are cut at slight angles to create a softer, more natural look. "Razor cut" uses a razor blade instead of scissors for a more jagged finish.
Understanding the basic sections of your head will also help you communicate more precisely. The "crown" is the very top of your head, the "nape" is the back of your neck, and the "parietal ridge" is the widest part of your head where it starts to curve downward. If you can tell your stylist you want longer pieces around your face but shorter layers through the crown, he or she will know exactly what you mean.
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See also:
Hairstyling terms & definitions
Can you explain disconnected layers and how they are achieved?
What does "layered" mean to a hair stylist?