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The Butterfly Secret: How Physicists Painted the Most Complex Pattern ⚡ экспресс

Original: "From Quasiperiodicity to a Complete Coloring of the Kohmoto Butterfly"
· Ram Band, Siegfried Beckus
arXiv:2509.24025 · 2025-09-28 · CC BY · ⏱ 1 min · Math Physics Math Physics Quantum Physics
The enigmatic fractal pattern of the 'Kohmoto butterfly' has finally been divided into numbered zones—just like a paint-by-numbers page.
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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.

Scientists
Christian DopplerD. B. McLaughlinDidier QuelozMichel MayorR. A. RossiterEmmy Noether
Tags
spectroscopy Standard Model entropy
Laws
second law of thermodynamicsDoppler effectNoether's theoremBekenstein-Hawking entropyMaxwell's equationsPlanck's law
Original: arXiv:2509.24025 · CC BY · bridge42worlds