Generative systems are systems that use a few basic rules to yield patterns. Depending on the rules, the patterns can be extremely varied and unpredictable. One of the more well-known examples is Conway's Game of Life, a cellular automaton. Another example is Boids. More examples can be found in generative music, generative art, and, more recently, in video games such as Spore.
Famous quotes containing the words generative and/or systems:
“Hence, a generative grammar must be a system of rules that can iterate to generate an indefinitely large number of structures. This system of rules can be analyzed into the three major components of a generative grammar: the syntactic, phonological, and semantic components.”
—Noam Chomsky (b. 1928)
“What avails it that you are a Christian, if you are not purer than the heathen, if you deny yourself no more, if you are not more religious? I know of many systems of religion esteemed heathenish whose precepts fill the reader with shame, and provoke him to new endeavors, though it be to the performance of rites merely.”
—Henry David Thoreau (1817–1862)