Repetition doesn’t always have to be humdrum. In mathematics, it is a powerful force, capable of generating bewildering complexity. Even after decades of study, mathematicians find themselves unable ...

From a thermodynamics perspective, all systems, even the universe itself, are all driven by two aspects of their state—entropy and energy. Any closed system will simultaneously tend towards a minimum ...

While usual gapless points that are not geometrically defective i.e. Dirac points (Left column) possess only eigenvalues within [0, 1] (Bottom Left), defective exceptional points (Right column) also ...

In a study that elevates the role of entropy in creating order, new research shows that certain pyramid shapes can spontaneously organize into complex quasicrystals. In a study that elevates the role ...