ferns, and coastlines. The image shows a quantum version of a fractal pattern, known as “Hofstadter’s butterfly,” which has long been predicted, but the new study marks the first time it has ...

The complex shape of a fractal often gives an impression of the endless repetition of a pattern. Fern leaves, pine cones, ...

ferns, and coastlines. A quantum version of a fractal pattern, known as "Hofstadter's butterfly," has long been predicted, ...