Network science studies the structure and dynamics of complex systems made of interconnected components. Born from graph theory (Euler, 1736) and transformed by the discoveries of small-world networks (Watts & Strogatz, 1998) and scale-free networks (Barabási & Albert, 1999), it has become essential to understanding the modern world.
Networks are everywhere: the Internet, social media, protein interactions in cells, neural circuits in the brain, airline routes, power grids, and the spread of diseases. These systems share surprising universal properties — the small-world effect (six degrees of separation), the scale-free property (a few hubs with enormous numbers of connections), and phase transitions (sudden emergence of connectivity at critical thresholds).
These simulations let you build and analyze networks, spread epidemics through populations, discover the small-world effect, and watch phase transitions emerge in percolation. Understanding network structure is key to understanding resilience, vulnerability, and the dynamics of complex systems.