Smashing Pumpkins perform onstage at the Double Door, Chicago, Illinois, March 5, 1995. Pictured are, from left, D'Arcy Wretzky, on bass guitar, Billy Corgan, on guitar, Jimmy Chamberlin, on drums, ...

Now, as the Graff Butterfly collection marks its 50th anniversary ... Another head-turning piece showcases butterflies with ...

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