Why do the Balmer lines of hydrogen exhibit a phenomenon where they get closer together as you move towards shorter wavelengths?

Ah, they love playing hard to get! The Balmer lines of hydrogen show that behavior because as electrons jump down to lower energy levels, the spacing between levels increases, causing the lines to get closer together at shorter wavelengths. It's like a game of peek-a-boo for scientists, trying to figure out what those pesky electrons are up to.