Almost 50 years ago, computer scientist Douglas Hofstadter predicted that a butterfly would spread its wings in the quantum world. Under the right conditions, tiny electrons in a quantum system ...

Douglas Hofstadter is a professor, cognitive scientist, and author whose work addresses a number of fields from computer science to consciousness. And he'd like to remind you that the Jeopardy ...

Scientists at Princeton University have made a groundbreaking discovery in quantum materials, revealing that electron energy levels in certain systems follow a fractal pattern known as Hofstadter’s ...

Hofstadter's butterfly represents the principal finding of a seminal 1976 paper by Douglas Hofstadter. In this work, he predicted that the energy levels of electrons confined within two ...