You can make a fractal by taking a smooth shape, breaking the surface into pieces, arrange those pieces in a self similar pattern, and repeating…similar to how we made the Koch Curve.

Over the last half 50 years, fractals have challenged ideas about geometry and pushed math, science and technology into unexpected areas.

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum ...

Theoretical calculation of the allowed energy levels of electrons in twisted bilayer graphene in a magnetic field. These allowed energy levels (black dots) form a rare example of a quantum fractal ...