dirkbrockmann

@dirkbrockmann/lattices

a module for making square and hexagonal lattices

lattices

a module for making square and hexagonal lattices

d3-widgets

Widgets for d3 Applications and Visualizations

@explorables/spinwheels

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

@explorables/keith_harings_mexican_hat

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.

@explorables/horde_of_the_flies

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

@explorables/cycledelic

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.

@explorables/nah_dah_dah_nah_nah_opus_1984

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.

@explorables/kick_it_like_chirikov

This explorable illustrates the chaotic sea of the famous two-dimensional map known as the kicked rotator or standard map. It's a very important system in nonlinear dynamics.

@explorables/prisoners_kaleidoscope

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

@explorables/baristas_secret

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

@explorables/critically_inflammatory

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.

@explorables/critical_hexsirsize

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.

@explorables/into_the_dark

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.

@explorables/flockn_roll

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

@explorables/scotts_world

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.

@explorables/surfing_a_gene_pool

This explorable illustrates pattern formation in bacterial populations in which different clones with identical fitness expand in space.

@explorables/anomalous_itinerary

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

@explorables/if_you_ask_your_xy

The XY model is a key model of statistical mechanics. Among other things, it describes self-organization of spatially arranged magnets but also concepts like opinion dynamics in social systems.

@explorables/swarmalators

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

@explorables/particularly_stuck

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

@explorables/dr_fibryll_and_mr_glyde

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.

@explorables/lotka_martini

This explorable illustrates oscillatory dynamics and spatio-temporal patterns in the most famous predator prey model on a lattice.

@explorables/stranger_things

This explorable illustrates the beauty of strange attractors of selected two-dimensional chaotic maps. The attractors change shape as a function of their parameters.

@explorables/hokus_fractus

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