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The effects of various levels of external randomness on the behavior of continuous cellular automata with generalizations of rules 90 and 30. The value of each cell can be any gray level between 0 and 1. For the generalization of rule 90, the values of the left and right cells are added together, and the value of the cell on the next step is then found by applying the continuous generalization of the modulo 2 function shown at the right. For the generalization of rule 30, a similar scheme based on an algebraic representation of the rule is used. In both cases, every value at each step is also perturbed by a random amount up to the percentage indicated for each picture.

From Stephen Wolfram: A New Kind of Science [citation]