Example 5 Collective Behavior in Higher Dimensions

Chate and Manneville [chate92] have examined a wide variety of cellular automata that live in dimensions four, five and higher. They found many interesting rules that while being essentially featureless locally, nonetheless show a remarkably ordered global behavior. 

Here again wo see a pristine cxtimple of the three basic elements of emergence (1) the global phenomenon (in this case the cell-value density) emerges out of an 

8 Collective behavior of a four dimensional CA (after [chate92]). 

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