The fractal 'Kohmoto butterfly' pattern long resisted classification due to its infinite complexity. But physicists turned it into a 'spectral tree' and gave each fragment its own index, like a paint-by-numbers. This isn't just beautiful mathematics—it could be a key to new materials.
🎯 The Hofstadter butterfly, discovered back in 1976, already amazed with its resemblance to living wings. But only now has it become clear that behind the outward whimsy hides a structure as rigorous as an architectural blueprint.