This is a model for collective behavior in animals, e.g. flocks of birds or schools of fish based on simple rules of interaction.

This explorable illustrates the emergence of collective intelligence in a model for a school of fish. The combination of speed differences in the light and the dark and cohesive swarm forces helps the swarm find the safe regions.

This explorable illustrates a simple and beautiful model for swarms, flocks and collective motion in animal populations.

This explorable is a spatial implementation of the Kuramoto Model for phase coupled oscillators. It illustrates spatial synchronization and the dynamics of phase singularities.

This explorable illustrates the phenomenon of percolation, when e.g. a liquid like water moves through a porous medium, like coffee. The percolation process is a critical phenomenon that exhibits interesting properties at the critical porosity of the medi

This explorable illustrates, as a representative of a broad range of dynamic phenomena, a simple model for the spatial spread of forest fires and the dynamic patterns they generate.

This explorable illustrates a simple model for pedestrian dynamics. The model can explain spontaneous lane formation in opposing flows, congestion patterns, and phenomena like crowd turbulence.

The explorable illustrates the behavior of a contagion process, like an epidemic. Susceptibles (S) can be infected by other infected sites (I), infected site become immune and recover (R), and when immunity wanes immune sites become susceptible again.

This explorable illustrates a model for pattern formation in microbial communities. Depending on parameters like food concentration, medium resistance and others, the emerging pattern exhibit different characteristics.

This explorable illustrates a model for traffic and congestion and the phenomenon knowns as phantom traffic jams, spontaneously emergent congested traffic segments that move slowly and oppositely to the traffic.

This explorable illustrates spontaneous pattern formation in a spatial model in which points on a lattice interact by local positive feedback and negative long-range feedback.

This explorable is an implementation of Conway's Game of Life, one of the most famous cellular automata models for the emergence of structure, replication and complex behavior generated by simple rules.

This explorable illustrates a famous game theoretic model, known as the prisoner's dilemma. On a lattice it can yield beautiful patterns and chaos.

The explorable illustrates dynamic pattern formation and spiral waves in a cyclic reaction-diffusion system. In the model three species prey on each other in a cyclic way, A eating B, B eating C, and C eating A.

The explorable illustrates spatio-temporal pattern formation in a system of pulse-coupled oscillators. The model is a generic model that yields spiral waves and target patterns depending on the parameter choices.

This explorable illustrates a model for fractal growth patterns in natural systems based on the aggregation of randomly moving particles.

The explorable illustrates the properties of superdiffusive, scale-free random walks known as Lévy flights.

A collection of regular fractals that illustrates the nature of self-similarity.

This explorable illustrates dynamic patterns that emerge when collective motion and synchronization interact in a swarm of phase coupled oscillators.

This explorable illustrates the dynamics and properties of the famous Ising Model of statistical mechanics. It's a lattice of spins / magnets arranged on a lattice. Each spin interacts with its neighbors and tried to align its direction with the neighborh