Simulates fires starting and spreading through a forest. Burned out trees are replaced by new growth, which after aging are suseptible to catching and spreading fire.
Stephen Wolfram's Wolfram code. This model handles all 256 automata that Wolfram describes.
Thomas Schelling's famous model of how extreme neighborhood segrgegation can occur, even if no one has a preference for such segregation.
We model wolves chasing sheep and sheep avoiding wolves in a meadow. The animals may reproduce. Once a wolf is near a sheep, it eats him.
In the fashion scene, there are the trend-setters and the trend-followers. Trend setters do not want to look like followers, but followers do want to look like trend setters.
An implementation of John Conway's game of life.