In a first, physicists have directly seen Hofstadter’s butterfly—a long-sought-after fractal in the quantum realm ...

Scientists at Princeton University have made a groundbreaking discovery in quantum materials, revealing that electron energy ...

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 ...

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 ...