I've been making different type of bracelets for my wife, and I've been trying to think of what the printer is as a tool and try to utilize it in that way as much as possible. The printer makes 3D objects just great but that's not really what it's doing. The printer is drawing with plastic and so I think about using the machine to draw. These bracelets are all the same but I've exposed the infill.
If I was to print a cube on my 3D printer the inside of the cube wouldn't be solid because it would waste plastic and time printing so we print an infill pattern at different varying density depending on the usage and also the shape of the object. The infill is the best example of what the 3D printer does that no other machine does and that's what I've been playing with as a design element.
Hope that answers a lot of your questions. I'm always looking for excuses to print things so if you need something or want something just let me know.