Strings That Are Derivable in a Certain Number of Steps by a Multiway System

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As multiway systems evolve, they generate states with particular compositions. This Demonstration shows an abbreviated sample evolution of a multiway system on the left with its rule, and up to the first 15 steps tracking which states appear at which steps.

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The characters "A" and "B" are represented by white and black cells, respectively.

One can answer the question "How many steps does it take to start at B and arrive at BAA?" For example, in the Thumbnail one sees right away that it takes five steps to get from B to BAA using those particular rules.

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Contributed by: Abigail Nussey (March 2011)
Based on a program by: Todd Rowland
Open content licensed under CC BY-NC-SA


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Details

See Stephen Wolfram's A New Kind of Science, pp. 796–799.



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